Determine whether the data are qualitative or quantitative. 8) the colors of automobiles on a used car lot Answer: qualitative

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1 Name Score: Math 227 Review Exam 1 Chapter 2& Fall 2011 ********************************************************************************************************************** SHORT ANSWER. Show work on on your paper. Identify the population and the sample. 1) A survey of 178 American households found that 27% of the households own a computer. Answer: population: collection of all American households; sample: collection of 178 American households surveyed 2) When 1094 American households were surveyed, it was found that 67% of them owned two cars. Answer: population: collection of all American households; sample: collection of 1094 American households surveyed ) A survey of 2625 elementary school children found that 28% of the children could be classified as obese. Answer: population: elementary school children; sample: collection of 2625 elementary school children surveyed. Determine whether the numerical value is a parameter or a statistic. Explain your reasoning. 4) A recent survey by the alumni of a major university indicated that the average salary of 10,500 of its 175,000 graduates was $95,000. Answer: It describes a statistic because the number $95,000 is based on a subset of the population. 5) The average salary of all assembly-line employees at a certain car manufacturer is $41,000.. Answer: It describes a parameter because the $41,000 is based on all the workers at the car manufacturer. 6) A survey of 1162 students was taken from a university with 10,000 students. Answer: It describes a statistic because the number 1162 is based on a subset of the population. Provide an appropriate response. 7) Explain the difference between a sample and a population. Answer: A population is the collection of all outcomes, responses, measurements, or counts that are of interest.. A sample is a subset of a population. Determine whether the data are qualitative or quantitative. 8) the colors of automobiles on a used car lot Answer: qualitative 9) the number of complaint letters received by the United States Postal Service in a given day Answer: quantitative 10) the number of seats in a movie theater Answer: quantitative 11) the numbers on the shirts of a girl's soccer team Answer: qualitative 1

Answer: population: collection of all American households; sample: collection of 178 American households surveyed 2) When 1094 American households were surveyed, it was found that 67% of them owned

2 Identify the data set's level of measurement. 12) hair color of women on a high school tennis team 1) numbers on the shirts of a girl's soccer team 14) ages of students in a statistic class Answer: ratio 15) temperatures of 12 selected refrigerators Answer: interval 16) number of milligrams of tar in 85 cigarettes Answer: ratio 17) marriage status (married, single, or divorced) of the faculty at the University of Colorado 18) the ratings of a movie ranging from "poor" to "good" to "excellent" Answer: ordinal 19) the final grades (A, B, C, D, and F) for students in a statistics class Answer: ordinal 20) the annual salaries for all teachers in California Answer: ratio 21) the nationalities listed in a recent survey (for example, Asian, European, or Hispanic). 22) the average daily temperatures (in degrees Fahrenheit) on five randomly selected days Answer: interval Decide which method of data collection you would use to collect data for the study. Specify either observational study, experiment, simulation, or survey. 2) A study where a drug was given to 2 patients and a placebo to another group of 2 patients to determine if the drug has an effect on a patient's illness Answer: experiment 24) A study of the salaries of college professors in a particular state Answer: survey 25) A study where a political pollster wishes to determine if his candidate is leading in the polls Answer: observational study 2

refrigerators Answer: interval 16) number of milligrams of tar in 85 cigarettes Answer: ratio 17) marriage status (married, single, or divorced) of the faculty at the University of Colorado 18) the

3 26) A study to evaluate the success of a new experimental procedure performed on 5 patients at one hospital Answer: census Provide an appropriate response. 27) Explain what bias there is in a study done entirely online. Answer: The study may be biased because it is limited to people with computers. 28) A local newspaper ran a survey by asking, "Do you support the deployment of a weapon that could kill millions of innocent people?" Determine whether the survey question is biased. Answer: The wording of the question is biased, as it tends to encourage negative responses. Identify the sampling technique used. 29) Thirty-five sophomores, 50 juniors and 7 seniors are randomly selected from 58 sophomores, 448 juniors and 94 seniors at a certain high school. Answer: stratified 0) Every fifth person boarding a plane is searched thoroughly. Answer: systematic 1) At a local community college, five statistics classes are randomly selected out of 20 and all of the students from each class are interviewed. Answer: cluster 2) A community college student interviews everyone in a statistics class to determine the percentage of students that own a car. Answer: convenience ) Based on 12,500 responses from 48,000 questionnaires sent to its alumni, a major university estimated that the annual salary of its alumni was $78,500 per year. Answer: random 4) To ensure customer satisfaction, every 20th phone call received by customer service will be monitored. Answer: systematic 5) The names of 40 contestants are written on 40 cards. The cards are placed in a bag, and three names are picked from the bag. Answer: random

28) A local newspaper ran a survey by asking, "Do you support the deployment of a weapon that could kill millions of innocent people?" Determine whether the survey question is biased.

4 Use the given frequency distribution to find the (a) class width. (b) class midpoints of the first class. (c) class boundaries of the first class. 6) Phone Calls (per day) Class Frequency, f Answer: (a) 4 (b) 9.5 (c) Provide an appropriate response. 7) A sample of candies have weights that vary from 2.5 grams to 4.75 grams. Use this information to find the upper and lower limits of the first class if you wish to construct a frequency distribution with 12 classes. Answer: ) For the dot plot below, what is the maximum and what is the minimum entry? Answer: max: 17; min: 12 4

7) A sample of candies have weights that vary from 2.5 grams to 4.75 grams.

5 9) The Highway Patrol, using radar, checked the speeds (in mph) of 0 passing motorists at a checkpoint. The results are listed below. Construct a stem-and-leaf plot for the data, listing each stem twice. What can you conclude about the data? Answer: Key: = Most of the motorists were going miles per hour. 40) Use the histogram below to approximate the mode heart rate of adults in the gym. Answer: 70 41) The top 14 speeds, in miles per hour, for Pro-Stock drag racing over the past two decades are listed below. Find the mean speed Answer:

44 8 41 50 6 6 4 42 49 48 5 40 7 41 4 50 45 45 9 8 50 41 47 6 5 40 42 4 48 Answer: Key: = 4 4 5 5 5 5 6 6 6 7 8 8 9 0 0 1 1 1 2 2 4 5 5 7 8 8 9 0 0 0 Most of the motorists were going 40-49

6 42) The top 14 speeds, in miles per hour, for Pro-Stock drag racing over the past two decades are listed below. Find the median speed Answer: ) The top 14 speeds, in miles per hour, for Pro-Stock drag racing over the past two decades are listed below. Find the mode speed Answer: bimodal 44) A student receives test scores of 62, 8, and 91. The student's final exam score is 88 and homework score is 76. Each test is worth 20% of the final grade, the final exam is 25% of the final grade, and the homework grade is 15% of the final grade. What is the student's mean score in the class? Answer: ) The grade point averages for 10 students are listed below. Find the range of the data set Answer:.2 46) Find the sample standard deviation Answer:

2 201.2 19.2 201.2 194.5 199.2 196.0 196.2 Answer: bimodal 44) A student receives test scores of 62, 8, and 91. The student's final exam score is 88 and homework score is 76.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Ch. 1 Introduction to Statistics 1.1 An Overview of Statistics 1 Distinguish Between a Population and a Sample Identify the population and the sample. survey of 1353 American households found that 18%