9/7/21, 3:58 PM final exam, MGT122, summer 2021 (Preview) Microsoft Forms final exam, MGT122, summer 2021 Points: 2/40 1. A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. The desired mean length of the insulation is 12 feet. It is known that the standard deviation in the cutting length is 0.15 feet. A sample of 70 cut sheets yields a mean length of 12.14 feet. This sample will be used to obtain a 99% confidence interval for the mean length cut by machine. the critical value to use in obtaining the confidence interval is ________. * (-/3 Points) 2.58 2. A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. The 95% confidence interval for π is 0.59 ± 0.07. Interpret this interval. * (-/1 Points) We are 95% confident that the true proportion of all students receiving financial aid is between 0.52 and 0.66. 95% of the students get between 52% and 66% of their tuition paid for by financial aid. We are 95% confident that between 52% and 66% of the sampled students receive some sort of financial aid. We are 95% confident that 59% of the students are on some sort of financial aid. https://forms.office.com/Pages/ResponseDetailPage.aspx?id=UoqClKBzY0-1cE1V7wXVy4DTScE64VJEuITraRcW2GhUNzZZWjBVNzZZNlpJV… 1/13 9/7/21, 3:58 PM final exam, MGT122, summer 2021 (Preview) Microsoft Forms 3. If the outcome of event A is not affected by event B, then events A and B are said to be * (-/1 Points) mutually exclusive. independent. collectively exhaustive. None of the above. 4. A major department store chain is interested in estimating the mean amount its credit card customers spent on their first visit to the chain’s new store in the mall. Fifteen credit card accounts were randomly sampled and analyzed with the following results: mean of the sample =$50.50 and S=20. Assuming the distribution of the amount spent on their first visit is normal, what is the shape of the sampling distribution of the sample mean that will be used to create the desired confidence interval for μ? * (-/1 Points) Approximately normal with a mean of $50.50 A standard normal distribution A t distribution with 15 degrees of freedom A t distribution with 14 degrees of freedom 5. A major department store chain is interested in estimating the mean amount its credit card customers spent on their first visit to the chain’s new store in the mall. Fifteen credit card accounts were randomly sampled and analyzed with the following results: mean of the sample is $50.50 and S=20. Construct a 95% confidence interval for the mean amount its credit card customers spent on their first visit to the chain’s new store in the mall assuming that the amount spent follows a normal distribution. * (-/1 Points) $50.50 ± $9.09 $50.50 ± $10.12 https://forms.office.com/Pages/ResponseDetailPage.aspx?id=UoqClKBzY0-1cE1V7wXVy4DTScE64VJEuITraRcW2GhUNzZZWjBVNzZZNlpJV… 2/13 9/7/21, 3:58 PM final exam, MGT122, summer 2021 (Preview) Microsoft Forms $50.50 ± $11.00 $50.50 ± $11.08 6. An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last 3 years, with the following results. Xf 1 14 2 18 3 12 45 51 how many drivers are represented in the sample? * (-/1 Points) 5 15 50 40 7. The answer to the question “What is your sleeping bag temperature rating?” is an example of a ratio scaled variable. * (-/1 Points) true False 8. The head librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books checked out each day. The assistant provides the following interval estimate: from 740 to 920 books per day. What is an efficient, unbiased point estimate of the number of books checked out each day at the Library of Congress? * (-/1 Points) https://forms.office.com/Pages/ResponseDetailPage.aspx?id=UoqClKBzY0-1cE1V7wXVy4DTScE64VJEuITraRcW2GhUNzZZWjBVNzZZNlpJV… 3/13 9/7/21, 3:58 PM final exam, MGT122, summer 2021 (Preview) Microsoft Forms 740 920 830 1660 9. If an economist wishes to determine whether there is evidence that mean family income in a community exceeds $50,000 * (-/1 Points) either a one-tail or two-tail test could be used with equivalent results. a one-tail test should be utilized. a two-tail test should be utilized. None of the above. 10. The "middle spread," that is the middle 50% of the normal distribution, is equal to one standard deviation. * (-/1 Points) true false 11. Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant. A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift. She will make her decision using a test with a level of significance of 0.10. The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: Hμ≤20; α = 0.10; df = 45; T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject. the parameter the manager is interested in is: * (-/1 Points) https://forms.office.com/Pages/ResponseDetailPage.aspx?id=UoqClKBzY0-1cE1V7wXVy4DTScE64VJEuITraRcW2GhUNzZZWjBVNzZZNlpJV… 4/13 9/7/21, 3:58 PM final exam, MGT122, summer 2021 (Preview) Microsoft Forms the mean number of defective light bulbs per case produced at the plant. the mean number of defective light bulbs per case among the 46 cases. the mean number of defective light bulbs per case produced during the morning shift. the proportion of cases with defective light bulbs produced at the plant. 12. For a given level of significance, if the sample size is increased but the summary statistics remain the same, the probability of committing a Type II error will increase. * (-/1 Points) false true 13. It is possible to directly compare the results of a confidence interval estimate to the results obtained by testing a null hypothesis if * (-/1 Points) a two-tail test for μ is used. a one-tail test for μ is used. Both of the previous statements are true. None of the previous statements is true. 14. The symbol for the level of significance of a statistical test is * (-/1 Points) α. 1 – α. β. 1 – β. https://forms.office.com/Pages/ResponseDetailPage.aspx?id=UoqClKBzY0-1cE1V7wXVy4DTScE64VJEuITraRcW2GhUNzZZWjBVNzZZNlpJV… 5/13 9/7/21, 3:58 PM final exam, MGT122, summer 2021 (Preview) Microsoft Forms 15. Which of the following statistics is not a measure of central tendency? * (-/1 Points) Arithmetic mean. median mode Q3 16. Which of the following would be an appropriate alternative hypothesis? * (-/1 Points) The population proportion is less than 0.65. The sample proportion is less than 0.65. The population proportion is not less than 0.65. The sample proportion is not less than 0.65. 17. The chancellor of a major university was concerned about alcohol abuse on her campus and wanted to find out the proportion of students at her university who visited campus bars on the weekend before the final exam week. Her assistant took a random sample of 250 students. The answer on “whether you visited campus bars on the weekend before the final exam week” from students in the sample is an example of __________. * (-/1 Points) a categorical variable. a discrete variable. a continuous variable. a table of random numbers. https://forms.office.com/Pages/ResponseDetailPage.aspx?id=UoqClKBzY0-1cE1V7wXVy4DTScE64VJEuITraRcW2GhUNzZZWjBVNzZZNlpJV… 6/13 9/7/21, 3:58 PM final exam, MGT122, summer 2021 (Preview) Microsoft Forms 18. A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. The desired mean length of the insulation is 12 feet. It is known that the standard deviation in the cutting length is 0.15 feet. A sample of 70 cut sheets yields a mean length of 12.14 feet. This sample will be used to obtain a 99% confidence interval for the mean length cut by machine. calculate the confidence interval. show the steps. * (1/3 Points) (12.0901 , 12.1899 ) 19. If two equally likely events A and B are mutually exclusive and collectively exhaustive, what is the probability that event A occurs? * (-/1 Points) 0 .50 1 Cannot be determined from the information given. 20. Which of the following statements about the median is not true? * (-/1 Points) It is more affected by extreme values than the arithmetic mean. It is a measure of central tendency. It is equal to Q2. It is equal to the mode in bell-shaped "normal" distributions. 21. The t distribution allows the calculation of confidence intervals for means when the actual standard deviation is not known. * (-/1 Points) True https://forms.office.com/Pages/ResponseDetailPage.aspx?id=UoqClKBzY0-1cE1V7wXVy4DTScE64VJEuITraRcW2GhUNzZZWjBVNzZZNlpJV… 7/13 9/7/21, 3:58 PM final exam, MGT122, summer 2021 (Preview) Microsoft Forms False 22. The probability that a standard normal variable Z is positive is ________. * (1/1 Points) 0.5 23. A type of vertical bar chart in which the categories are plotted in the descending rank order of the magnitude of their frequencies is called a * (-/1 Points) contingency table. Pareto chart. stem-and-leaf display. pie chart. 24. An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last 3 years, with the following results. Xf 1 14 2 18 3 12 45 51 how many total claims are represented in the sample? * (-/1 Points) 15 50 111 250 https://forms.office.com/Pages/ResponseDetailPage.aspx?id=UoqClKBzY0-1cE1V7wXVy4DTScE64VJEuITraRcW2GhUNzZZWjBVNzZZNlpJV… 8/13 9/7/21, 3:58 PM final exam, MGT122, summer 2021 (Preview) Microsoft Forms 25. Which of the following would be an appropriate null hypothesis? * (-/1 Points) The mean of a population is equal to 55. The mean of a sample is equal to 55. The mean of a population is greater than 55. Only (a) and (c) are appropriate. 26. Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant. A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift. She will make her decision using a test with a level of significance of 0.10. The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: Hμ≤20; α = 0.10; df = 45; T Test Statistic = 2.09; OneTail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject. the manager can conclude that there is sufficient evidence to show that the mean number of defective bulbs per case is greater than 20 during the morning shift using a level of significance of 0.10. * (-/1 Points) true false 27. In its standardized form, the normal distribution * (-/1 Points) has a mean of 0 and a standard deviation of 1. has a mean of 1 and a variance of 0. has an area equal to 0.5. cannot be used to approximate discrete probability distributions. https://forms.office.com/Pages/ResponseDetailPage.aspx?id=UoqClKBzY0-1cE1V7wXVy4DTScE64VJEuITraRcW2GhUNzZZWjBVNzZZNlpJV… 9/13 9/7/21, 3:58 PM final exam, MGT122, summer 2021 (Preview) Microsoft Forms 28. The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. The appropriate hypotheses to test are: * (-/1 Points) H0:μ≥30 versus H1:μ<30. H0:μ≤30 versus H1:μ>30. H0:sample mean ≥30 versus H1: sample mean <30. H0: sample mean ≤30 versus H1: sample mean >30. 29. A point estimate consists of a single sample statistic that is used to estimate the true population parameter. * (-/1 Points) True False 30. Which of the following is a continuous quantitative (numerical) variable? * (-/1 Points) The color of a student’s eyes The number of employees of an insurance company The amount of milk in a 2-liter carton. The number of gallons of milk sold at the local grocery store yesterday 31. If two events are mutually exclusive, what is the probability that both occur at the same time? * (-/1 Points) https://forms.office.com/Pages/ResponseDetailPage.aspx?id=UoqClKBzY0-1cE1V7wXVy4DTScE64VJEuITraRcW2GhUNzZZWjBVNzZZNlpJ… 10/13 9/7/21, 3:58 PM final exam, MGT122, summer 2021 (Preview) Microsoft Forms 0 .5 1 Cannot be determined from the information given. 32. According to a survey of American households, the probability that the residents own 2 cars if annual household income is over $50,000 is 80%. Of the households surveyed, 60% had incomes over $50,000 and 70% had 2 cars. The probability that the residents of a household own 2 cars and have an income less than or equal to $50,000 a year is: * (-/1 Points) .12 .18 .22 .48 33. Suppose a 95% confidence interval for μ turns out to be (1,000, 2,100). To make more useful inferences from the data, it is desired to reduce the width of the confidence interval. Which of the following will result in a reduced interval width? * (-/1 Points) Increase the sample size. Increase the confidence level. Increase the population mean. Increase the sample mean. https://forms.office.com/Pages/ResponseDetailPage.aspx?id=UoqClKBzY0-1cE1V7wXVy4DTScE64VJEuITraRcW2GhUNzZZWjBVNzZZNlpJ… 11/13 9/7/21, 3:58 PM final exam, MGT122, summer 2021 (Preview) Microsoft Forms 34. Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant. A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift. She will make her decision using a test with a level of significance of 0.10. The following information was extracted from the Microsoft Excel output for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: Hμ≤20; α = 0.10; df = 45; T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject. what critical value should the manager use to determine the rejection region? * (-/1 Points) 1.6794 1.3011 1.3006 0.6800 35. You know that the probability of committing a Type II error (β) is 5%, you can tell that the power of the test is * (-/1 Points) 2.5% 95% 97.5% unknown 36. An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was $675 with a population standard deviation of $75. A sample of 30 days reveals a daily mean revenue of $625. If you were to test the null hypothesis that the daily mean revenue was $675 and decide not to reject the null hypothesis, what can you conclude? * (-/1 Points) https://forms.office.com/Pages/ResponseDetailPage.aspx?id=UoqClKBzY0-1cE1V7wXVy4DTScE64VJEuITraRcW2GhUNzZZWjBVNzZZNlpJ… 12/13 9/7/21, 3:58 PM final exam, MGT122, summer 2021 (Preview) Microsoft Forms There is not enough evidence to conclude that the daily mean revenue was $675. There is not enough evidence to conclude that the daily mean revenue was not $675. There is enough evidence to conclude that the daily mean revenue was $675. There is enough evidence to conclude that the daily mean revenue was not $675. This content is created by the owner of the form. The data you submit will be sent to the form owner. Microsoft is not responsible for the privacy or security practices of its customers, including those of this form owner. Never give out your password. Powered by Microsoft Forms | Privacy and cookies (https://go.microsoft.com/fwlink/p/?linkid=857875) | Terms of use (https://go.microsoft.com/fwlink/p/?LinkId=2083423) https://forms.office.com/Pages/ResponseDetailPage.aspx?id=UoqClKBzY0-1cE1V7wXVy4DTScE64VJEuITraRcW2GhUNzZZWjBVNzZZNlpJ… 13/13