1. Names of TV shows taped in New York are an example of which type of data? (2 Points)

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1 Test Name: Final Exam Practice #1 1. Names of TV shows taped in New York are an example of which type of data? A) Quantitative B) Parameter C) Inferential D) Qualitative 2. When conducting legal experiments on animals, a researcher needs to obtain consent from the. Fill in the blank with the most appropriate word. A) Institutional Review Board B) Institutional Research Board C) International Review Board D) International Research Board E) American Review Board F) American Research Board 3. Consider the following frequency table representing the distribution of hourly wages for first jobs of a certain population. Hourly Wage at First Job Class Frequency Step 1. Determine the midpoint for the fourth class. Step 2. Determine the midpoint for the second class. (1 Points)

2 4. Consider the pie chart, which depicts student enrollment by major. Given that the central angle of the wedge that represents business majors measure 65 degrees, what percentage of the students enrolled are business majors? Please round your answer to the nearest whole number. (4 Points) % 5. For the set of data displayed below, describe the most likely shape of its distribution. A) Skewed to the right B) Uniform C) Symmetrical D) Skewed to the left 6. Consider the following data: Step 1. Find the value of the mean. Step 2. Find the value of the median. Step 3. Select the number of modes and indicate the modes if any. Separate multiple modes with commas. A) No Mode B) Unimodal C) Bimodal D) Multimodal 2

3 7. Calculate the range, population variance, and population standard deviation for the following data set. Use the rounding rules for calculating the variance and standard deviation. Range: Population variance: Population standard deviation: 8. Suppose that prices of a gallon of milk at various stores in one town have a mean of with a standard deviation of. Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between and? Round your answer to 1 decimal place. 9. Select the word or phrase that will correctly complete the statement. A/An is one of three points that divides a set of data into four equal parts. A) median B) discrete value C) percentile D) quartile 10. Consider a set of data in which the sample mean is and the sample standard deviation is. Calculate the -score given that. Round your answer to two decimal places. 11. You are getting a line-up ready for a school kickball game. You have 6 girls and 6 boys. The rules state each child must kick the same number of times and alternate girl-boy or boy-girl. How many ways can a line-up be made for one round of kicking? 12. An English teacher needs to pick 10 books to put on his reading list for the next school year. He has narrowed down his choices to 13 novels, 12 plays, and 10 nonfiction books. If he wants to include 4 novels, 3 plays, and 3 nonfiction books, how many ways can he choose the books to put on the list? 3

4 13. Decide if the following probability is classical, empirical, or subjective. Selecting an ace from a standard deck of cards. A) Subjective Probability B) Empirical Probability C) Classical Probability 14. Determine whether the following events are mutually exclusive. Choosing a student who is a physics major or a finance major from a nearby university to participate in a research study. (Assume that each student only has one major.) A) Mutually Exclusive B) Not Mutually Exclusive 15. A box contains 20 green marbles and 12 white marbles. What is the probability of choosing a white marble if the first marble, chosen without replacement, was a green marble? Write your answer as a fraction or a decimal number rounded to three decimal places. 16. Determine whether or not the distribution is a probability distribution and select the reason why or why not. A) Yes B) No A) Since the probabilities lie inclusively between 0 and 1 and the sum of the probabilities is equal to 1. B) Since at least one of the probability values is greater than 1 or less than 0. C) Since the sum of the probabilities is not equal to 1. D) Since the sum of the probabilities is equal to 1. E) Since the probabilities lie inclusively between 0 and Find the expected value of the following data. Round your answer to one decimal place. 4

5 18. The diameters of ball bearings are distributed normally. The mean diameter is 118 millimeters and the standard deviation is 5 millimeters. Find the probability that the diameter of a selected bearing is less than 127 millimeters. (Round your answer to 4 decimal places) 19. What value of divides the standard normal distribution so that half the area is on one side and half is on the other? (Round your answer to 2 decimal places.) 20. A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 14 years with a standard deviation of 5. If the claim is true, in a sample of 45 wall clocks, what is the probability that the mean clock life would be greater than 14.7 years? (Round your answer to 4 decimal places) 21. Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 148 millimeters, and a variance of 64. If a random sample of 37 steel bolts is selected, what is the probability that the sample mean would be less than millimeters? (Round your answer to 4 decimal places) 22. A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. Suppose a sample of 385 bacteria is drawn with Assume 2 Construct the 95% confidence interval for the mean number of reproductions per hour. (Round your answers to 1 decimal place) Lower Bound: Upper Bound: 23. A manager records the repair cost for 16 randomly selected refrigerators. A sample mean of $69.41 and standard deviation of $12.72 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the refrigerators. Assume the population is approximately normal. Step 1. Find the critical value that should be used in constructing the confidence interval. (Round answer to 3 decimal places) Step 2. Construct the 90% confidence interval. (Round answer to 2 decimal places) Lower Bound: Upper Bound: 5

6 24. A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 423 gram setting. Based on a 40 bag sample where the mean is 426 grams and the variance is 361, is there sufficient evidence at the 0.02 level that the bags are overfilled? Step 1. State the hypotheses: Step 2. Find the value of the test statistic. (Round your answer to 2 decimal places.) Step 3. Specify if the test is one-tailed or two-tailed. (1 Points) A) One-Tailed Test B) Two-Tailed Test Step 4. Find the value of the test statistic. (Round your answer to 4 decimal places.) Step 5. Determine the value of the level of significance. Step 6. Determine the conclusion. (1 Points) A) Reject Null Hypothesis B) Fail to Reject Null Hypothesis 25. The table below gives the number of parking tickets received in one semester and the GPA for five randomly selected college students who drive to campus. Using this data, consider the equation of the regression line for predicting the GPA of a college student who drives to campus based on the number of parking tickets they receive in one semester. Number of Tickets GPA (Note: The correlation coefficient may or may not be statistically significant for the data given. In practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.) Step 1. Find the estimated slope. Round your answer to three decimal places. Step 2. Find the estimated -intercept. Round your answer to three decimal places. Step 3. Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false. (You can use the values you found in step 1 and step 2 to estimate the linear model.) (1 Points) A) True B) False [Continued on next page...] 6

7 Step 4. Find the estimated value of when. Round your answer to three decimal places. (1 Points) Step 5. Determine the value of the dependent variable at. A) B) C) D) Step 6. Find the value of the coefficient of determination. Round your answer to three decimal places. 7