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Three professors examined awareness of four widely disseminated retirement rules among employees at the University of Utah. These rules provide simple answers to questions about retirement p1anning (R. N. Mayer, C. D. Zick, and M. Glaittle, “Public Awareness of Retirement Planning Rules of Thumb." Journal of Personal Finance, 2011 10(1), 12-35). At the time of the investigation, there were approximately 10,000 benefited employees, and 3,095 participated in the study. Demographic data collected on these 3,095 employees included gender, age (years), education level (years completed), marital status, household income
a. Describe the population of interest.
b. Describe the sample that was collected.
c. Indicate whether each of the demographic variables mentioned is categorical or numerical.
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Basic Business Statistics (13th Edition)
- In a 1993 article in Accounting and Business Research, Meier, Alam, and Pearson studied auditor lobbying on several proposed U.S. accounting standards that affect banks and savings and loan associations. As part of this study, the authors investigated auditors’ positions regarding proposed changes in accounting standards that would increase client firms’ reported earnings. It was hypothesized that auditors would favor such proposed changes because their clients’ managers would receive higher compensation (salary, bonuses, and so on) when client earnings were reported to be higher. Table (below) summarizes auditor and client positions (in favor or opposed) regarding proposed changes in accounting standards that would increase client firms’ reported earnings. Here the auditor and client positions are cross-classified versus the size of the client firm. LargeFirms SmallFirms Total In Favor 13 130 143 Opposed 10 24 34 Total 23 154 177 LargeFirms SmallFirms Total…arrow_forwardThere is some evidence that, in the years 1981-85, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v.6, pp. 320-35,1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.87 %, with a standard deviation of 16 %. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. (a) According to Chebyshev's theorem, at least…arrow_forwardSuppose because of facility limitations, a large privately owned nursing home has been turning away large numbers of patients requesting admission. Because the nursing home receives some financial assistance from public sources, they are prohibited from making the decision concerning admission on the basis of whether payment is from Medicaid or private funds. As part of a compliance study, suppose that researchers collect the following data over a two year period. Of the 88 Medicaid patients applying for admission, 24 are admitted while 64 are not. Of the 110 privately funded patients applying for admission, 62 are admitted while 48 are not. Are admission status and funding independent? Admitted (A) Not Admitted Medicaid (M) 24 64 Privately Funded 62 48 Group of answer choices No, because P(M | A) is not equal to P(M No, because P(M | A) = P(M) Yes, because P(M | A) = P(M Yes, because P(M | A) is not equal to P(M)arrow_forward
- Consider the following payoff matrix.arrow_forward1) One of the divisions of TCC is a hotline for consumers requesting information on their line of all-inclusive student vacations for the week after finals. As more and more information becomes available online from customers who are making negative Yelp posts about the vacation timing, phone requests for information have been declining. Still, the company is concerned with proper staffing during the exam days of December 17th and 18th. Date Shift Requests December 13 Day 70 Evening 47 Night 46 December 14 Day 65 Evening 43 Night 37 December 15 Day 59 Evening 39 Night 34 December 16 Day 56 Evening 35 Night 30 Forecast the demand for information requests for the three shifts of December 17th and the three shifts of December 18th. Answer the following questions in a text box in the worksheet. A) Create a…arrow_forwardd. At the 0.05 significance level, is it reasonable to conclude that it takes less time for those customers applying for the 30-year fixed- rate mortgage? Ho is (not rejected/ rejected). The 30 year application is fasterarrow_forward
- In an article in Accounting and Business Research, Beattie and Jones investigate the use and abuse of graphic presentations in the annual reports of United Kingdom firms. The authors found that 65 percent of the sampled companies graph at least one key financial variable, but that 30 percent of the graphics are materially distorted (nonzero vertical axis, exaggerated trend, or the like). Results for U.S. firms have been found to be similar. (a) Suppose that in a random sample of 451 graphics from the annual reports of United Kingdom firms, 146 of the graphics are found to be distorted. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.K. annual report graphics that are distorted. (Round your answers to 4 decimal places.) (b) Based on this interval, can we be 95 percent confident that more than 25 percent of all graphics appearing in the annual reports of U.K. firms are distorted? Does this suggest that auditors should understand proper…arrow_forwardIn an article in Accounting and Business Research, Beattie and Jones investigate the use and abuse of graphic presentations in the annual reports of United Kingdom firms. The authors found that 65 percent of the sampled companies graph at least one key financial variable, but that 30 percent of the graphics are materially distorted (nonzero vertical axis, exaggerated trend, or the like). Results for U.S. firms have been found to be similar. (a) Suppose that in a random sample of 466 graphics from the annual reports of United Kingdom firms, 142 of the graphics are found to be distorted. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.K. annual report graphics that are distorted. (Round your answers to 4 decimal places.)arrow_forwardAccording to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1079 in 2018. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher's contention. : is greater than or equal to 1,079 : is less than 1,079 b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $920. Based on prior experience a population standard deviation of =1600 may be assumed. What is the -value (to 4 decimals)?arrow_forward
- A large operator of timeshare complexes requires anyoneinterested in making a purchase to first visit thesite of interest. Historical data indicates that 20% of allpotential purchasers select a day visit, 50% choose aone-night visit, and 30% opt for a two-night visit. Inaddition, 10% of day visitors ultimately make a purchase,30% of one-night visitors buy a unit, and 20%of those visiting for two nights decide to buy. Supposea visitor is randomly selected and is found to havemade a purchase. How likely is it that this person madea day visit? A one-night visit? A two-night visit?arrow_forwardThe accompanying table shows, for a random sample of 20 long-term-growth mutual funds, percentage return over a period of 12 months and total assets (in millions of dollars).Return Assets Return Assets Return Assets29.3 300 16.0 421 12.9 7527.6 70 15.5 99 11.3 61023.7 3,004 15.2 756 9.9 26422.3 161 15.0 730 7.9 2722.0 827 14.4 436 6.7 7119.6 295 14.0 143 3.3 71917.6 29 13.7 117a. Calculate the Spearman rank correlation coefficient.b. Carry out a nonparametric test of the null hypothesis of no association in the population against a two-sided alternative.c. Discuss the advantages of a nonparametric test for these data.arrow_forwardAssume that the payoff table provides cost rather than profit payoffs. What is the recommended decision using: Optimistic, Conservative, Minmax Regret, And Laplace Methodarrow_forward
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