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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, Student Value Edition (13th Edition)
- Walmart predicted the following end-of-year earnings from 2003 - 2012 in billions of dollars (9.5, 9.8, 10.2, 10.7, 10.5, 11.0, 12.1, 14.7, 16.3, 18.7). Their actual end-of- year earnings for the same years are as follows: 9.1, 9.2, 10.6, 10.3, 9.9, 10.4, 11.6, 11.8, 13.1, 22.7). In testing the claim that the mean predicted value is the same as the mean actual value, which p-value is correct? 0.228 0.456 0.779 0.05 4arrow_forwarda) Genenesis Dispensary is contemplating of opening a new branch in Mwanza. If the medical for medical service is favourable, Genesis could realize a net profit of Tsh.100 million. On the other hand, if the market turn out to be unfavourable, it can end up losing Tsh. 40 million. Of course, Genesis may opt not to persue this option of expanding its operations. In the absence of data from which to base its decision, te best guess for Gensis is equally likely that the dispensary will either be successful or unsuccessful Required: i) Use the decison tree approach, what decison should Genesis Dispensary take b) Market research firm named, Easy Market Access approach Genesis with an offer to undertake a study of Mwanza medical service market at a fee of Tsh. 5 million. Easy Market Access claims that their experience enables them to use Bayes’ Theoremn to make the following statements about different state of the market: ▪ Provide that the study is favourable, the probability of favourable…arrow_forwardAccording to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $ 1056 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. (b.) For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $ 910. Based on prior experience a population standard deviation of ! = $ 1600 may be assumed. What is the p-value? (c.) At ↵ = 0. 05, what is your conclusion? (d.) Repeat the preceding hypothesis test using the critical value approach.arrow_forward
- Individuals filing federal income tax returns prior to March 31 received an average refund of $1,064. 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 Ho will support the researcher's contention. O Ho: µ > $1,064 H3: µs $1,064 O Ho: H $1,064 O Ho: u = $1,064 H: µ + $1,064 Ο Hρ: μ > $1,064 H3: µ < $1,064 (b) For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of o = $1,600 may be assumed. What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = (c) At a = 0.05,…arrow_forwardIndividuals filing federal income tax returns prior to March 31 received an average refund of $1,053. 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. H0: μ ≤ $1,053Ha: μ > $1,053H0: μ ≥ $1,053Ha: μ < $1,053 H0: μ < $1,053Ha: μ ≥ $1,053H0: μ > $1,053Ha: μ ≤ $1,053H0: μ = $1,053Ha: μ ≠ $1,053 (b) For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of σ = $1,600 may be assumed. What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round…arrow_forwardIndividuals filing federal income tax returns prior to March 31 received an average refund of $1,055. 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. H0: ? ≤ $1,055Ha: ? > $1,055H0: ? > $1,055Ha: ? ≤ $1,055 H0: ? ≥ $1,055Ha: ? < $1,055H0: ? < $1,055Ha: ? ≥ $1,055H0: ? = $1,055Ha: ? ≠ $1,055 (b) For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of ? = $1,600 may be assumed. What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round…arrow_forward
- 1. Diversty or be Sued! An investor with a stock portfolio worth several hundred thousand dollars sued his broker because lack of diversification in his portfolio led to poor performance (low returns) The table below gives the rates in percentages for the 39 months that the account was managed by the broker. An arbitration panel composed these returns with average of the Standard and Poor's stock index for the same period. Consider the 39 SRS monthly returns the broker would generate if he managed the account forever. Are these returns compatible with a population mean of .95%, the S&P 500 averaged over 35 years? The numbers are already in percentages. -2.93 -15.25 1.28 -1.01 -8.36 1.62 -2.27 -2.7 -2.93 -9.14 -2.64 6.82 -2.35 -3.58 -5.11 5.04 -9.16 12.22 -2.56 -1.25 -7.21 4.33 6.13 7.00 -1.44 -2.14 -8.66 -65 -1.41 -1.03 4.34 -1.22 -.09 2.35 -10.27 7.34 -7.24 12.03 Test the investors' claim at the alpha level .05 significance level. (name the hypotheses, parameter, type of test and make…arrow_forwardIndividuals filing federal income tax returns prior to March 31 had an average refund of $1102. Consider the population of “last-minute” filers who mail their returns during the last five days of the income tax period (typically April 10 to April 15). A researcher suggests that one of the reasons that individuals wait until the last five days to file their returns is that on average those individuals have a lower refund than early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher’s contention. For a sample of 600 individuals who filed a return between April 10 and April 15, the sample mean refund was $1050 and the standard deviation was $500. Compute the p-value. Using α = 0.05, what is your conclusion? Test the hypotheses using the critical value approach (α = 0.025).arrow_forwardData on the 30 largest bond funds provided one-year and five-year percentage returns for theperiod ending March 31, 2000 (The Wall Street Journal, April 10, 2000). Suppose we consider aone-year return in excess of 2% to be high and a five-year return in excess of 44% to be high.One-half of the funds had a one-year return in excess of 2%, 12 of the funds had a five-yearreturn in excess of 44%, and six of the funds had both a one-year return in excess of 2% and afive-year return in excess of 44%.a. Find the probability of a fund having a high one-year return, the probability of a fundhaving a high five-year return, and the probability of a fund having both a high one-yearreturn and a high five-year return.b. What is the probability that a fund had a high one-year return or a high five-year returnor both?c. What is the probability that a fund had neither a high one-year return nor a high fiveyear return?arrow_forward
- The selling prices of mutual funds change daily. In order to study these changes, a sample of mutual funds was examined and the daily changes in price are listed below. (Round answers to 3 decimal places) 0.32, -0.17, 0.26, -0.03, -0.01, 0.18, 0.33, 0.28, 0.02, -0.29, -0.08, 0.12, 0.07, 0.03, 0.28 a) Using a calculator find Q1, Q3, median and IQR b) Determine the lower and upper fences. (Show work) c) Identify the outliers (if any) in this setarrow_forwardIndividuals filing federal income tax returns prior to March 31 received an average refund of $1056. 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 researcher suggest 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 will support the researcher’s contention. For a sample of 400 individuals who file a tax return between April 10 and April 15, the sample mean refund was $910. Based on prior experience a population standard deviation of o=1600 may be assumed. What is the p-value? At a=.05 , What is your conclusion?arrow_forwardThe Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 14.7% (i.e. an average gain of 14.7%) with a standard deviation of 33%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. A) What percentage of years does this portfolio lose money, i.e. have a return less than 0%? B) What is the cutoff for the highest 15% of annual returns with this portfolio?arrow_forward
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