Estimation of the Mean and Proportion


 Howard Warner
 1 years ago
 Views:
Transcription
1 1 Excel Manual Estimation of the Mean and Proportion Chapter 8 While the spreadsheet setups described in this guide may seem to be getting more complicated, once they are created (and tested!), they will serve as handy tools for making quick and dynamic calculations. This section explains how to use Excel to create confidence intervals for population means and proportions as well as hypothesis testing for both. Since the calculations of both confidence intervals and hypothesis testing are similar, you can set up the same spreadsheet to solve both types of problems. Excel displays its calculations as the values are entered, so you can observe how changing the values affect the results. For example, you can play with the n value to see what happens if it is increased or decreased, or find out how changing the sample proportion would affect the margin of error. This point cannot be emphasized enough: The spreadsheets created in this chapter need to be tested using known values to make sure that you are obtaining the correct results. Use the examples shown here to ensure an accurate setup. Estimating a Population Mean: σ known =CONFIDENCE(alpha, standard deviation, sample size): This formula calculates the margin of error for a confidence interval. Note: This function only applies to estimating a population mean when the standard deviation of the population standard deviation is known. The following illustration shows how to set up a spreadsheet to calculate the margin of error and confidence interval given the αlevel, mean, standard deviation, and sample size: Note the negative sign on the NORMSINV() function. This makes the Z value positive. Input data in the white cells; the shaded areas contain formulas or labels.
2 2 Excel Manual The example below uses the information in Example 81 on page 366 of your text, creating a confidence interval for estimating the mean cost of a college textbook: To enter the Greek letters as shown, select Symbol from the Symbols group in the Insert tab, choose the desired letter and click Insert. The 90% confidence interval is found in cells B10 and C10. We are 90% confident that the true mean time of community service is in the interval (133.49, ). This is a little different from the text s results due to rounding errors. The text rounds the Z* to the nearest hundredth, whereas Excel carries the decimal out much further. (* indicates that the Zscore is a criticalvalue. ) Finding the Z and Required Sample Size for a Confidence Interval Calculating values of z α/2 for any α. Create the following spreadsheet to automatically calculate the z α/2 given the desired α level. You can also set up the bottom portion of this spreadsheet to automatically yield the required sample size to ensure that the margin of error is below a specified level for a given α level and standard deviation. The following are the results for Example 83 on page 371. We have calculated Z and the sample size for estimating the mean debt of college graduates with 99% confidence, given a standard deviation of $11,800 and an error of no more than $800.
3 3 Excel Manual From the results, we see that a sample size of 1444 is needed for 99% confidence with an error of $800. This value is slightly different from the text due the rounding of Z*. Estimating a Mean When σ is Not Known =TINV(probability, degrees of freedom): This calculates the t value for the student s t distribution based on the degrees of freedom (n1) for a specific probability. This function assumes a twotailed or not equal alternative hypothesis or a twosided confidence interval. =TDIST(tstatistic, degrees of freedom, tails): This calculates the tail probability of a t test statistic based on the degrees of freedom (n1) and the number of tails (1 or 2). It is important to note that the t statistic must be positive. If you use this function in a situation where the value could be negative, you will need to use the ABS() function to make it positive or else an error will result. Note: The TINV can only be used with a twotailed test. Therefore, if a onetailed test is desired, you have to divide this probability by two. On the other hand, the TDIST function allows either a onetailed or a twotailed test, and this must be indicated as a final argument of the function. The following graphic demonstrates how to set up a spreadsheet to calculate the t necessary to create a confidence interval based on sample size (n) and significance level (α):
4 4 Excel Manual The following spreadsheet will calculate the entire confidence interval automatically: The next spreadsheet shows the results of creating a 95% confidence interval for the average premium paid for family health insurance using the tdistribution from the data in Example 85 on page 378 in your text. The results show that we are 95% confident that the true mean premium paid for health insurance coverage lies in the interval ( , ). There is a slight difference from the confidence interval in the textbook due to a more precise value of t. Alternatively, if you would like Excel to perform all your calculations and you want to be able to use the actual data in Excel, the following spreadsheet is set up to calculate everything including n, mean, and standard deviation. The formulas for n, mean and standard deviation in this sheet can accommodate any number of entries in column D since the range is openended. In other words, because (D:D) has no top nor bottom, any number in the column will be included in the calculation. The following example uses the normally distributed data from Exercise 847 on page 381 in your text.
5 5 Excel Manual Finally, you may also use the Data Analysis ToolPak to calculate a confidence interval from a sample. This will only work for a tdistribution. It is not available for the previous confidence intervals that involved the zdistribution. To use the Data Analysis ToolPak, enter the data in a column as shown in the previous example. Select Data Analysis from the Analysis group in the Data tab. (If it is not there, you will need to add it as described on the first page of Chapter 2.) Select Descriptive Statistics from the list and click OK. Click on the red arrow in the input range option and select the list of data in your spreadsheet. If you have a label in the first cell of the input range, be sure to check the appropriate box. Check Summary Statistics and Confidence Level for Mean. Enter the desired confidence level (100(1α)). Click OK.
6 6 Excel Manual The result is stored in a separate spreadsheet. The confidence level calculated is the Margin of Error and therefore must be added and subtracted from the sample mean to obtain the interval. Exercise 847 on page 381 for a normally distributed data set is shown below: Hence, the 95% confidence interval for the true mean in this data set is in the interval / = (3.401, 6.219). Estimation of a Population Proportion: Large Samples You can set up a spreadsheet similar to the one above to automatically calculate these values for a proportion. B3, B4, and B9 in the spreadsheet below are the input areas. One notable difference in this sheet from the previous example is the calculation of Margin of Error. In this sheet, the formula ZCritical * Standard Error (=B11*B6) has been used instead of the CONFIDENCE() function, since the CONFIDENCE() is used only in population mean situations. The CONFIDENCE() function may be used with some modifications: Use the Standard Error for the standard deviation argument and a sample size of n = 1. This works because the Standard Error already has the sample size calculated into it. The spreadsheet illustrated has the number of successes put in as a formula in B4 which is. This is the product of the sample size and the sample proportion. The number of successes (B4) may also be entered as a numerical value such as 440:
7 7 Excel Manual The following sheet references Example 87 on page 384 of your text and calculates the confidence interval about the population proportion. In this example, the sheet determines the proportion of American adults that said owning a home is a very important part of the American dream with 95% confidence. According to the results, the 95% confidence interval for the proportion of American adults that say that owning a home is a very important part of the American dream is (.509,.591). Determining a Sample Size for Estimating a Population Proportion Next we ll review two different Excel methods for determining the sample size necessary to obtain a maximum margin of error. The first uses the spreadsheet from the previous example along with a handy feature in Excel called Goal Seek. Enter an estimated sample size to begin with. Be sure the formula is used to calculate x in B4, the number of successes. The.5 represents phat, which is.5 to obtain the largest error. Start B3 at an arbitrary value such as 200. B3: 200
8 8 Excel Manual B4: =B3*0.5 Next, go to the Data tab and select Goals Seek from the WhatIf Analysis of the Data group, as shown in the illustration below: The Margin of Error cell (B12) must be entered into the Set Cell entry. Enter.02 for the To Value entry to obtain the maximum margin of error requested in the text, and enter the sample size cell (B3) for the By Changing entry. See illustration below. When you click OK, Excel will perform a numerical analysis routine to determine the approximate sample size to obtain the desired margin of error. The results for this scenario are shown below:
9 9 Excel Manual In this case, the margin of error is slightly over the.02 accepted. Step up the sample size incrementally from 2357, and continue by trial and error by entering values. You will find that entering 2401 for the sample size yields the first margin of error less than.02 for a confidence level of 95%, just as shown in Example 89. As an alternative method, you can set up a spreadsheet to find the answer. The setup for this looks essentially the same as the sheet for means. The only difference is that instead of using the standard deviation for the margin of error, the calculation uses the product of the probability success and the probability of failure (pq) or p(1p). The spreadsheet should look like this: To practice this, look at Example 89 on page 387. To estimate the number of subjects it is necessary to survey to ensure the margin of error is no more than 2% (if the estimated proportion is.5 and the level of confidence is 95%), set up the spreadsheet as shown:
10 10 Excel Manual To obtain the sample size necessary to ensure the margin of error is at most 2%, round this value up to 2401.
Hypothesis Testing hypothesis testing approach formulation of the test statistic
Hypothesis Testing For the next few lectures, we re going to look at various test statistics that are formulated to allow us to test hypotheses in a variety of contexts: In all cases, the hypothesis testing
More informationSPSS/Excel Workshop 2 Semester One, 2010
SPSS/Excel Workshop 2 Semester One, 2010 In Assignment 2 of STATS 10x you may want to use Excel or SPSS to perform some calculations, that is, finding Normal probabilities and Inverse Normal values in
More informationSimple Linear Regression
1 Excel Manual Simple Linear Regression Chapter 13 This chapter discusses statistics involving the linear regression. Excel has numerous features that work well for comparing quantitative variables both
More informationSPSS/Excel Workshop 3 Summer Semester, 2010
SPSS/Excel Workshop 3 Summer Semester, 2010 In Assignment 3 of STATS 10x you may want to use Excel to perform some calculations in Questions 1 and 2 such as: finding Pvalues finding tmultipliers and/or
More informationPASW (SPSS)/Excel Workshop 3 Semester Two, 2010
PASW (SPSS)/Excel Workshop 3 Semester Two, 2010 In Assignment 3 of STATS 10x you may want to use Excel to perform some calculations in Questions 1 and 2 such as: finding Pvalues finding tmultipliers
More informationBowerman, O'Connell, Aitken Schermer, & Adcock, Business Statistics in Practice, Canadian edition
Bowerman, O'Connell, Aitken Schermer, & Adcock, Business Statistics in Practice, Canadian edition Online Learning Centre Technology StepbyStep  Excel Microsoft Excel is a spreadsheet software application
More informationUsing Excel for inferential statistics
FACT SHEET Using Excel for inferential statistics Introduction When you collect data, you expect a certain amount of variation, just caused by chance. A wide variety of statistical tests can be applied
More informationHypothesis Testing. Concept of Hypothesis Testing
Quantitative Methods 2013 Hypothesis Testing with One Sample 1 Concept of Hypothesis Testing Testing Hypotheses is another way to deal with the problem of making a statement about an unknown population
More informationConfidence Intervals in Excel
Confidence Intervals in Excel By Mark Harmon Copyright 2011 Mark Harmon No part of this publication may be reproduced or distributed without the express permission of the author. mark@excelmasterseries.com
More informationMicrosoft Excel 2010 Lesson 4: Functions
Microsoft Excel 2010 Lesson 4: Functions Open the file Example.xlsx if is not already open. Mathematical and Statistical Functions Mathematical functions, not surprisingly, do routine mathematical calculations.
More informationBy: Peter K. Mulwa MSc (UoN), PGDE (KU), BSc (KU) Email: Peter.kyalo@uonbi.ac.ke
SPREADSHEETS FOR MARKETING & SALES TRACKING  DATA ANALYSIS TOOLS USING MS EXCEL By: Peter K. Mulwa MSc (UoN), PGDE (KU), BSc (KU) Email: Peter.kyalo@uonbi.ac.ke Objectives By the end of the session, participants
More informationMAT140: Applied Statistical Methods Summary of Calculating Confidence Intervals and Sample Sizes for Estimating Parameters
MAT140: Applied Statistical Methods Summary of Calculating Confidence Intervals and Sample Sizes for Estimating Parameters Inferences about a population parameter can be made using sample statistics for
More informationI. Basics of Hypothesis Testing
Introduction to Hypothesis Testing This deals with an issue highly similar to what we did in the previous chapter. In that chapter we used sample information to make inferences about the range of possibilities
More informationROUND(cell or formula, 2)
There are many ways to set up an amortization table. This document shows how to set up five columns for the payment number, payment, interest, payment applied to the outstanding balance, and the outstanding
More informationChapter Study Guide. Chapter 11 Confidence Intervals and Hypothesis Testing for Means
OPRE504 Chapter Study Guide Chapter 11 Confidence Intervals and Hypothesis Testing for Means I. Calculate Probability for A Sample Mean When Population σ Is Known 1. First of all, we need to find out the
More informationLecture Topic 6: Chapter 9 Hypothesis Testing
Lecture Topic 6: Chapter 9 Hypothesis Testing 9.1 Developing Null and Alternative Hypotheses Hypothesis testing can be used to determine whether a statement about the value of a population parameter should
More informationProbability Distributions
CHAPTER 5 Probability Distributions CHAPTER OUTLINE 5.1 Probability Distribution of a Discrete Random Variable 5.2 Mean and Standard Deviation of a Probability Distribution 5.3 The Binomial Distribution
More informationBasic Elements of a Hypothesis Test. Hypothesis Testing of Proportions and Small Sample Means. Proportions. Proportions
Hypothesis Testing of Proportions and Small Sample Means Dr. Tom Ilvento FREC 408 Basic Elements of a Hypothesis Test H 0 : H a : : : Proportions The Pepsi Challenge asked soda drinkers to compare Diet
More informationLAB 4 INSTRUCTIONS CONFIDENCE INTERVALS AND HYPOTHESIS TESTING
LAB 4 INSTRUCTIONS CONFIDENCE INTERVALS AND HYPOTHESIS TESTING In this lab you will explore the concept of a confidence interval and hypothesis testing through a simulation problem in engineering setting.
More informationSection 7.2 Confidence Intervals for Population Proportions
Section 7.2 Confidence Intervals for Population Proportions 2012 Pearson Education, Inc. All rights reserved. 1 of 83 Section 7.2 Objectives Find a point estimate for the population proportion Construct
More informationOutline. 1 Confidence Intervals for Proportions. 2 Sample Sizes for Proportions. 3 Student s tdistribution. 4 Confidence Intervals without σ
Outline 1 Confidence Intervals for Proportions 2 Sample Sizes for Proportions 3 Student s tdistribution 4 Confidence Intervals without σ Outline 1 Confidence Intervals for Proportions 2 Sample Sizes for
More informationBelow is a very brief tutorial on the basic capabilities of Excel. Refer to the Excel help files for more information.
Excel Tutorial Below is a very brief tutorial on the basic capabilities of Excel. Refer to the Excel help files for more information. Working with Data Entering and Formatting Data Before entering data
More informationEXCEL Tutorial: How to use EXCEL for Graphs and Calculations.
EXCEL Tutorial: How to use EXCEL for Graphs and Calculations. Excel is powerful tool and can make your life easier if you are proficient in using it. You will need to use Excel to complete most of your
More informationStatistical Functions in Excel
Statistical Functions in Excel There are many statistical functions in Excel. Moreover, there are other functions that are not specified as statistical functions that are helpful in some statistical analyses.
More informationTHE FIRST SET OF EXAMPLES USE SUMMARY DATA... EXAMPLE 7.2, PAGE 227 DESCRIBES A PROBLEM AND A HYPOTHESIS TEST IS PERFORMED IN EXAMPLE 7.
THERE ARE TWO WAYS TO DO HYPOTHESIS TESTING WITH STATCRUNCH: WITH SUMMARY DATA (AS IN EXAMPLE 7.17, PAGE 236, IN ROSNER); WITH THE ORIGINAL DATA (AS IN EXAMPLE 8.5, PAGE 301 IN ROSNER THAT USES DATA FROM
More informationUsing Microsoft Excel
Using Microsoft Excel Key skill [Where it is introduced] To open MS Excel. To open an existing spreadsheet. How to do it! Start > All Programs > Microsost Office > Microsoft Office Excel 2003 File > Open
More informationCreating a Gradebook in Excel
Creating a Spreadsheet Gradebook 1 Creating a Gradebook in Excel Spreadsheets are a great tool for creating gradebooks. With a little bit of work, you can create a customized gradebook that will provide
More informationExcel 2010: Create your first spreadsheet
Excel 2010: Create your first spreadsheet Goals: After completing this course you will be able to: Create a new spreadsheet. Add, subtract, multiply, and divide in a spreadsheet. Enter and format column
More informationCreate a Cash Flow Statement. Intel Easy Steps Intel Corporation All rights reserved.
Create a Cash Flow Statement Intel Easy Steps 1 2012 Intel Corporation Understanding Cash Flow Considerations Running a business involves continuous flow of money both money received and money spent on
More information6.1 The Elements of a Test of Hypothesis
University of California, Davis Department of Statistics Summer Session II Statistics 13 August 22, 2012 Date of latest update: August 20 Lecture 6: Tests of Hypothesis Suppose you wanted to determine
More informationLesson 7 ZScores and Probability
Lesson 7 ZScores and Probability Outline Introduction Areas Under the Normal Curve Using the Ztable Converting Zscore to area area less than z/area greater than z/area between two zvalues Converting
More informationStatistical Data analysis With Excel For HSMG.632 students
1 Statistical Data analysis With Excel For HSMG.632 students Dialog Boxes Descriptive Statistics with Excel To find a single descriptive value of a data set such as mean, median, mode or the standard deviation,
More information
An interval estimate (confidence interval) is an interval, or range of values, used to estimate a population parameter. For example 0.476
Lecture #7 Chapter 7: Estimates and sample sizes In this chapter, we will learn an important technique of statistical inference to use sample statistics to estimate the value of an unknown population parameter.
More information8.2 Confidence Intervals for One Population Mean When σ is Known
8.2 Confidence Intervals for One Population Mean When σ is Known Tom Lewis Fall Term 2009 8.2 Confidence Intervals for One Population Mean When σ isfall Known Term 2009 1 / 6 Outline 1 An example 2 Finding
More informationEXCEL Analysis TookPak [Statistical Analysis] 1. First of all, check to make sure that the Analysis ToolPak is installed. Here is how you do it:
EXCEL Analysis TookPak [Statistical Analysis] 1 First of all, check to make sure that the Analysis ToolPak is installed. Here is how you do it: a. From the Tools menu, choose AddIns b. Make sure Analysis
More informationTwoSample TTest from Means and SD s
Chapter 07 TwoSample TTest from Means and SD s Introduction This procedure computes the twosample ttest and several other twosample tests directly from the mean, standard deviation, and sample size.
More informationDirections for Creating a Column Graph and Plotting the Standard Deviation of the Average in Excel 2007
Directions for Creating a Column Graph and Plotting the Standard Deviation of the Average in Excel 2007 We will create a column graph comparing 5 volumes and their average volume for 5 Zinc washers. Also
More informationTtest in SPSS Hypothesis tests of proportions Confidence Intervals (End of chapter 6 material)
Ttest in SPSS Hypothesis tests of proportions Confidence Intervals (End of chapter 6 material) Definition of pvalue: The probability of getting evidence as strong as you did assuming that the null hypothesis
More informationChapter 9: Hypothesis Testing GBS221, Class April 15, 2013 Notes Compiled by Nicolas C. Rouse, Instructor, Phoenix College
Chapter Objectives 1. Learn how to formulate and test hypotheses about a population mean and a population proportion. 2. Be able to use an Excel worksheet to conduct hypothesis tests about population means
More informationDiscrete Random Variables and their Probability Distributions
CHAPTER 5 Discrete Random Variables and their Probability Distributions CHAPTER OUTLINE 5.1 Probability Distribution of a Discrete Random Variable 5.2 Mean and Standard Deviation of a Discrete Random Variable
More informationData Analysis Tools. Tools for Summarizing Data
Data Analysis Tools This section of the notes is meant to introduce you to many of the tools that are provided by Excel under the Tools/Data Analysis menu item. If your computer does not have that tool
More informationHOW TO... Use Excel. Overview
Page 1 of 9 Overview Excel is a spreadsheet application in the Microsoft Office suite. Excel can be used to create and format workbooks in order to analyze data, write formulas, calculations, and charts
More informationUsing Formulas, Functions, and Data Analysis Tools Excel 2010 Tutorial
Using Formulas, Functions, and Data Analysis Tools Excel 2010 Tutorial Excel file for use with this tutorial Tutor1Data.xlsx File Location http://faculty.ung.edu/kmelton/data/tutor1data.xlsx Introduction:
More informationExcel 2010 Tutorial. Contents
Excel 2010 Tutorial Contents How to Create a New Excel Workbook... 2 How to Open an existing Excel Workbook... 2 How to Open two worksheets simultaneously... 2 How to Save an Excel Workbook... 2 How to
More informationYears after 2000. US Student to Teacher Ratio 0 16.048 1 15.893 2 15.900 3 15.900 4 15.800 5 15.657 6 15.540
To complete this technology assignment, you should already have created a scatter plot for your data on your calculator and/or in Excel. You could do this with any two columns of data, but for demonstration
More informationBASICS: USING THE TI83 CALCULATOR KENKEL NOTES:
BASICS: USING THE TI83 CALCULATOR KENKEL NOTES: LINK FOR VARIOUS TI CALCULATOR HANDBOOKS: http://education.ti.com/educationportal/appsdelivery/download/ download_select_product.jsp?cid=us&displaymode=g&contentpaneid=17
More informationWater Quality Problem. Hypothesis Testing of Means. Water Quality Example. Water Quality Example. Water quality example. Water Quality Example
Water Quality Problem Hypothesis Testing of Means Dr. Tom Ilvento FREC 408 Suppose I am concerned about the quality of drinking water for people who use wells in a particular geographic area I will test
More informationMicrosoft Excel 2010 and Tools for Statistical Analysis
Appendix E: Microsoft Excel 2010 and Tools for Statistical Analysis Microsoft Excel 2010, part of the Microsoft Office 2010 system, is a spreadsheet program that can be used to organize and analyze data,
More informationStatistical Inference
Statistical Inference Idea: Estimate parameters of the population distribution using data. How: Use the sampling distribution of sample statistics and methods based on what would happen if we used this
More informationHypothesis Testing. Bluman Chapter 8
CHAPTER 8 Learning Objectives C H A P T E R E I G H T Hypothesis Testing 1 Outline 81 Steps in Traditional Method 82 z Test for a Mean 83 t Test for a Mean 84 z Test for a Proportion 85 2 Test for
More informationHypothesis Testing Level I Quantitative Methods. IFT Notes for the CFA exam
Hypothesis Testing 2014 Level I Quantitative Methods IFT Notes for the CFA exam Contents 1. Introduction... 3 2. Hypothesis Testing... 3 3. Hypothesis Tests Concerning the Mean... 10 4. Hypothesis Tests
More informationIf Statements Table of Contents
If Statements Table of Contents If Statements 1 Three parts to an If Statement: 1 Displaying Cells, Text, Blank Spaces, and Numbers in an If Statement: 1 Open and Save Excel Workbook 1 If Statement Using
More informationBasic Statistics. Probability and Confidence Intervals
Basic Statistics Probability and Confidence Intervals Probability and Confidence Intervals Learning Intentions Today we will understand: Interpreting the meaning of a confidence interval Calculating the
More informationPointBiserial and Biserial Correlations
Chapter 302 PointBiserial and Biserial Correlations Introduction This procedure calculates estimates, confidence intervals, and hypothesis tests for both the pointbiserial and the biserial correlations.
More informationMCQ TESTING OF HYPOTHESIS
MCQ TESTING OF HYPOTHESIS MCQ 13.1 A statement about a population developed for the purpose of testing is called: (a) Hypothesis (b) Hypothesis testing (c) Level of significance (d) Teststatistic MCQ
More informationFactorial Analysis of Variance
Chapter 560 Factorial Analysis of Variance Introduction A common task in research is to compare the average response across levels of one or more factor variables. Examples of factor variables are income
More informationFormatting Data. Format as a Table. Filter Data. Conditional Formatting. Eliminate Duplicate Records. Summarize Data: Subtotals
Formatting Data Format as a Table Filter Data Conditional Formatting Eliminate Duplicate Records Summarize Data: Subtotals Formatting Data Use the following options to format your data: Automatically adjust
More informationIntroduction to Hypothesis Testing
I. Terms, Concepts. Introduction to Hypothesis Testing A. In general, we do not know the true value of population parameters  they must be estimated. However, we do have hypotheses about what the true
More informationUnit 29 ChiSquare GoodnessofFit Test
Unit 29 ChiSquare GoodnessofFit Test Objectives: To perform the chisquare hypothesis test concerning proportions corresponding to more than two categories of a qualitative variable To perform the Bonferroni
More informationTwo Categorical Variables: The Chi Square Test
CHAPTER 22 Two Categorical Variables: The Chi Square Test Two Way Tables We can use Excel to create a two way table from our data that we place in columns in the spreadsheet. Our example uses the data
More information4) The role of the sample mean in a confidence interval estimate for the population mean is to: 4)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Assume that the change in daily closing prices for stocks on the New York Stock Exchange is a random
More informationHypothesis Testing. Chapter Introduction
Contents 9 Hypothesis Testing 553 9.1 Introduction............................ 553 9.2 Hypothesis Test for a Mean................... 557 9.2.1 Steps in Hypothesis Testing............... 557 9.2.2 Diagrammatic
More informationTo reuse a template that you ve recently used, click Recent Templates, click the template that you want, and then click Create.
What is Excel? Applies to: Excel 2010 Excel is a spreadsheet program in the Microsoft Office system. You can use Excel to create and format workbooks (a collection of spreadsheets) in order to analyze
More informationBox plots & ttests. Example
Box plots & ttests Box Plots Box plots are a graphical representation of your sample (easy to visualize descriptive statistics); they are also known as boxandwhisker diagrams. Any data that you can
More informationINTRODUCTION TO MICROSOFT EXCEL 2010 Creating a Basic Spreadsheet
INTRODUCTION TO MICROSOFT EXCEL 2010 Creating a Basic Spreadsheet Documented by Vincent J. Yanusauskas Computer Training Coordinator Table of Contents Introduction... 1 Backstage View... 1 Quick access
More informationChapter 8. Hypothesis Testing
Chapter 8 Hypothesis Testing Hypothesis In statistics, a hypothesis is a claim or statement about a property of a population. A hypothesis test (or test of significance) is a standard procedure for testing
More informationGeneral Excel Instructions. Excel Instructions
Excel Instructions This is a general document designed to assist you with understanding the Excel functions (formulas) and how they work. The contents are: Entering Excel Formulas... 2 How Formulas Work...
More informationKSTAT MINIMANUAL. Decision Sciences 434 Kellogg Graduate School of Management
KSTAT MINIMANUAL Decision Sciences 434 Kellogg Graduate School of Management Kstat is a set of macros added to Excel and it will enable you to do the statistics required for this course very easily. To
More informationCh. 8 Hypothesis Testing
Ch. 8 Hypothesis Testing 8.1 Foundations of Hypothesis Testing Definitions In statistics, a hypothesis is a claim about a property of a population. A hypothesis test is a standard procedure for testing
More informationUnit 22 OneSided and TwoSided Hypotheses Tests
Unit 22 OneSided and TwoSided Hypotheses Tests Objectives: To differentiate between a onesided hypothesis test and a twosided hypothesis test about a population proportion or a population mean To understand
More informationPASS Sample Size Software
Chapter 250 Introduction The Chisquare test is often used to test whether sets of frequencies or proportions follow certain patterns. The two most common instances are tests of goodness of fit using multinomial
More informationRegression Analysis. Pekka Tolonen
Regression Analysis Pekka Tolonen Outline of Topics Simple linear regression: the form and estimation Hypothesis testing and statistical significance Empirical application: the capital asset pricing model
More informationTo open a CMA file > Download and Save file Start CMA Open file from within CMA
Example name Effect size Analysis type Level Diastolic BP Mean difference Basic Basic Synopsis This analysis includes five studies where persons who donated a kidney were compared with persons in a control
More informationSection 7.1. Introduction to Hypothesis Testing. Schrodinger s cat quantum mechanics thought experiment (1935)
Section 7.1 Introduction to Hypothesis Testing Schrodinger s cat quantum mechanics thought experiment (1935) Statistical Hypotheses A statistical hypothesis is a claim about a population. Null hypothesis
More informationCoins, Presidents, and Justices: Normal Distributions and zscores
activity 17.1 Coins, Presidents, and Justices: Normal Distributions and zscores In the first part of this activity, you will generate some data that should have an approximately normal (or bellshaped)
More informationUnit 26 Estimation with Confidence Intervals
Unit 26 Estimation with Confidence Intervals Objectives: To see how confidence intervals are used to estimate a population proportion, a population mean, a difference in population proportions, or a difference
More informationSearch help. More on Office.com: images templates. Here are some basic tasks that you can do in Microsoft Excel 2010.
Page 1 of 8 Excel 2010 Home > Excel 2010 Help and Howto > Getting started with Excel Search help More on Office.com: images templates Basic tasks in Excel 2010 Here are some basic tasks that you can do
More informationAs in the example above, a Budget created on the computer typically has:
Activity Card Create a How will you ensure that your expenses do not exceed what you planned to invest or spend? You can create a budget to plan your expenditures and earnings. As a family, you can plan
More informationDesigning a Worksheet with Excel
Designing a Worksheet with Excel Introduction Microsoft Office Excel 00 offers several tools that make your worksheets look attractive and professional. Without formatting, a worksheet can look confusing
More informationThe PM s Guide to an A
The PM s Guide to an A Learning Curve Problems Microsoft Excel can be used for learning curve problems to determine how long it takes to produce items in bulk as well as determining cost per unit, the
More informationA) to D) to B) to E) to C) to Rate of hay fever per 1000 population for people under 25
Unit 0 Review #3 Name: Date:. Suppose a random sample of 380 married couples found that 54 had two or more personality preferences in common. In another random sample of 573 married couples, it was found
More informationChapter 7. Section Introduction to Hypothesis Testing
Section 7.1  Introduction to Hypothesis Testing Chapter 7 Objectives: State a null hypothesis and an alternative hypothesis Identify type I and type II errors and interpret the level of significance Determine
More informationIntermediate Microsoft Excel 2007
Intermediate Microsoft Excel 2007 Table of Contents ADVANCED FORMATTING... 2 FORMATTING NUMBERS... 2 WRAPPING TEXT... 3 EXPANDING THE FORMULA BAR... 3 THE MERGE AND CENTER FUNCTION... 4 INSERTING COMMENTS...
More informationF and ttest Statistical Method for HMA Voids Acceptance
Page 1 Colorado Procedure 1403 Standard Practice for F and ttest Statistical Method for HMA Voids Acceptance 1. SCOPE 1.1 Use this procedure as required by the project specifications to provide a method
More informationCONFIDENCE INTERVALS I
CONFIDENCE INTERVALS I ESTIMATION: the sample mean Gx is an estimate of the population mean µ point of sampling is to obtain estimates of population values Example: for 55 students in Section 105, 45 of
More informationHow to use Excel Spreadsheets for Graphing
How to use Excel Spreadsheets for Graphing 1. Click on the Excel Program on the Desktop 2. You will notice that a screen similar to the above screen comes up. A spreadsheet is divided into Columns (A,
More informationMath 140: Introductory Statistics Instructor: Julio C. Herrera Exam 3 January 30, 2015
Name: Exam Score: Instructions: This exam covers the material from chapter 7 through 9. Please read each question carefully before you attempt to solve it. Remember that you have to show all of your work
More informationUnit 21 Student s t Distribution in Hypotheses Testing
Unit 21 Student s t Distribution in Hypotheses Testing Objectives: To understand the difference between the standard normal distribution and the Student's t distributions To understand the difference between
More informationHypothesis Testing with One Sample. Introduction to Hypothesis Testing 7.1. Hypothesis Tests. Chapter 7
Chapter 7 Hypothesis Testing with One Sample 71 Introduction to Hypothesis Testing Hypothesis Tests A hypothesis test is a process that uses sample statistics to test a claim about the value of a population
More informationchapter 13 Processing Data using MS EXCEL Introduction Data Entry
chapter 13 Processing Data using MS EXCEL Introduction The purpose of this chapter is to highlight those MS EXCEL skills that will be used in the data manipulations used in this text. Those skills include:
More informationHere is a Trial Balance sample, generated and exported into an Excel spreadsheet, by an accounting software*
Here is a Trial Balance sample, generated and exported into an Excel spreadsheet, by an accounting software* (*) It should be straightforward to put the trial balance produced by accounting software into
More informationTips and Tricks for Printing an Excel Spreadsheet
Tips and Tricks for Printing an Excel Spreadsheet Microsoft Excel provides the following ways to view your spreadsheet and adjust how it will look printed: Normal view This is the default view and is best
More informationUsing Microsoft Excel for Probability and Statistics
Introduction Using Microsoft Excel for Probability and Despite having been set up with the business user in mind, Microsoft Excel is rather poor at handling precisely those aspects of statistics which
More informationEstimating and Finding Confidence Intervals
. Activity 7 Estimating and Finding Confidence Intervals Topic 33 (40) Estimating A Normal Population Mean μ (σ Known) A random sample of size 10 from a population of heights that has a normal distribution
More informationINTRODUCTION TO EXCEL
INTRODUCTION TO EXCEL 1 INTRODUCTION Anyone who has used a computer for more than just playing games will be aware of spreadsheets A spreadsheet is a versatile computer program (package) that enables you
More informationAdvanced Excel 10/20/2011 1
Advanced Excel Data Validation Excel has a feature called Data Validation, which will allow you to control what kind of information is typed into cells. 1. Select the cell(s) you wish to control. 2. Click
More informationThis activity will guide you to create formulas and use some of the builtin math functions in EXCEL.
Purpose: This activity will guide you to create formulas and use some of the builtin math functions in EXCEL. The three goals of the spreadsheet are: Given a triangle with two out of three angles known,
More informationTo create a histogram, you must organize the data in two columns on the worksheet. These columns must contain the following data:
You can analyze your data and display it in a histogram (a column chart that displays frequency data) by using the Histogram tool of the Analysis ToolPak. This data analysis addin is available when you
More informationMicrosoft Office Excel Create column and pie charts in Excel. Create a chart using the Chart Wizard. Tutorial 4 Working With Charts and Graphics
Microsoft Office Excel 2003 Tutorial 4 Working With Charts and Graphics 1 Create column and pie charts in Excel Charts, or graphs, provide visual representations of the workbook data. A chart may be embedded
More informationA simple three dimensional Column bar chart can be produced from the following example spreadsheet. Note that cell A1 is left blank.
Department of Library Services Creating Charts in Excel 2007 www.library.dmu.ac.uk Using the Microsoft Excel 2007 chart creation system you can quickly produce professional looking charts. This help sheet
More information