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Chapter 9: 17. Use of Texting. TextRequest reports that adults 18-24 years old send and receive 128 texts every day. Suppose we take a sample of 25-34 year olds to see if their mean number of daily texts differs from the mean for 18-24 year olds reported by TextRequest. LO 1, 2, 4 a. State the null and alternative hypotheses we should use to test whether the population mean daily number of texts for 25-34 year olds differs from the population daily mean number of texts for 18-24 year olds. b. Suppose a sample of thirty 25-34 year olds showed a sample mean of 118.6 texts per day. Assume a population standard deviation of 33.17 texts per day and compute the p-value. c. With a = 0.05 as the level of significance, what is your conclusion? d. Repeat the preceding hypothesis test using the critical value approach.

18. CPA Work Hours. The American Institute of Certified Tax Planners reports that the average Certified Public Accountant (CPA) in the U.S. works 60 hours per week during tax season. Do CPAs in states that have flat state income tax rates work fewer hours per week during tax season? Conduct a hypothesis test to determine if this is s0.0L01,2,4 a. Formulate hypotheses that can be used to determine whether the mean hours worked per week during tax season by CPAs in states that have flat state income tax rates is less than the mean hours worked per week by all U.S. CPAs during tax season? b. Based on a sample, the mean number of hours worked per week during tax season by CPAs in states with flat tax rates was 55. Assume the sample size was 150 and that, based on past studies, the population standard deviation can be assumed to be o = 27.4 . Use the sample results to compute the test statistic and p-value for your hypothesis test. c. At a = 0.05, what is your conclusion? 28. CEO Tenure. A shareholders’ group, in lodging a protest, claimed that the mean tenure for a chief executive officer (CEO) was at least nine years. A survey of companies reported in The Wall Street Journal found a sample mean tenure of z = 7.27 years for CEOs with a standard deviation of s = 6.38 years. LO 1,2, 5 a. Formulate hypotheses that can be used to challenge the validity of the claim made by the shareholders’ group. b. Assume 85 companies were included in the sample. What is the p-value for your hypothesis test? c. At a = 0.01, what is your conclusion?

41. Adequate Preparation for Retirement. In 2018, RAND Corporation researchers found that 71% of all individuals ages 66-69 are adequately prepared financially for retirement. Many financial planners have expressed concern that a smaller percentage of those in this age group who did not complete high school are adequately prepared financially for retirement. LO 1, 2, 6 a. Develop appropriate hypotheses such that rejection of Hy will support the conclusion that the proportion of those who are adequately prepared financially for retirement is smaller for people in the 66-69 age group who did not complete high school than it is for the population of the 66-69 year old. b. In a random sample of 300 people from the 66-69 age group who did not complete high school, 165 were not prepared financially for retirement. What is the p-value for your hypothesis test? c. At a = 0.01, what is your conclusion? Chapter 10:

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4. Cruise Ship Ratings. Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service. A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.36, and a sample of 44 ships that carry 500 or more passengers provided an average rating of 81.40. Assume that the population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or more passengers. LO 1, 2 a. What is the point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers? b. At 95% confidence, what is the margin of error? c. What is a 95% confidence interval estimate of the difference between the population mean ratings for the two sizes of ships? 15. Hotel Prices. Hotel room pricing changes over time (Lodging Magazine), but is there a difference between Europe hotel prices and U.S. hotel prices? The file IntHotels contains changes in the hotel prices for 47 major European cities and 53 major U.S. cities. LO 5 a. On the basis of the sample results, can we conclude that the mean change in hotel rates in Europe and the United States are different? Develop appropriate null and alternative hypotheses. b. Use a = 0.05 . What is your conclusion?

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