the standard deviation of the matched-pair differences is ________.
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1
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2
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3
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5
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7
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8
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Marketing
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82
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86
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74
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93
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90
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76
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87
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100
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Finance
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76
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91
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70
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79
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96
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70
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85
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81
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If Population 1 is defined as the Marketing exam scores and Population 2 is defined as the Finance exam scores, the standard deviation of the matched-pair differences is ________.
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- A Pew Research study conducted in 2017 found that approximately 75% of Americans believe that robots and computers might one day do many of the jobs currently done by people.† Suppose we have the following data collected from nurses, tax auditors, and fast-food workers in which a higher score means the person feels his or her job is more likely to be automated. Nurse TaxAuditor Fast-FoodWorker 3 4 5 4 5 8 6 4 6 2 4 8 3 6 5 3 3 6 4 5 6 5 3 4 (a) Use ? = 0.05 to test for differences in the belief that a person's job is likely to be automated for the three professions. State the null and alternative hypotheses. H0: μNurse = μTax auditor = μFast-food worker Ha: μNurse ≠ μTax auditor ≠ μFast-food worker H0: At least two of the population means are equal. Ha: At least two of the population means are different. H0: Not all the population means are equal. Ha: μNurse = μTax auditor = μFast-food worker H0: μNurse = μTax auditor = μFast-food worker Ha:…The Women’s Institutional Studies group at a Midwestern university wanted to compare the percentages of female faculty members in the various units on campus in Spring 2004. Of particular interest were the percentages of female faculty in the College of Education and in the College of Business . In a sample of 80 College of Education faculties, there were 36 females, and in a sample of 70 College of Business faculties, there were 15 females. Based upon this sample information, which of the following is the 98% confidence interval for the difference in the actual percentages of female faculty between College of Education and College of Business ? a. (0.075, 0.405). b. (0.123, 0.357). c. (-0.012, 0.252). d. (0.058, 0.422). e. (0.101, 0.379).A report included data from a study in which 789 people in a representative sample of college students age 18 to 24 were asked how they perceive their money management skills. Possible responses were excellent, good, average, not very good, and poor. Each student in the sample was also classified by sex, resulting in the data in the table. Perception of Money Management Skills Not Very Good Excellent Good Average Poor Male 102 138 88 17 8 Female 81 193 136 22 4 Is there convincing evidence that there is an association between sex and how students perceive their money management skills? Test the relevant hypotheses using a significance level of a = 0.05. State the appropriate null and alternative hypotheses. O Ho: The proportions falling into each of the four perceptions of money management skills are the same for both sexes. H: The proportions falling into each of the four perceptions of money management skills are not the same for both sexes. O Ho: There is an association between sex…
- An article about the California lottery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The article also gave information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lottery ticket purchasers. Based on these sample data, is it reasonable to conclude that one or more of these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with ? = 0.05. Age of Purchaser Frequency 18–34 36 35–64 130 65 and over 34 Calculate the test statistic. (Round your answer to two decimal places.) ?2 = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? The data strong evidence to conclude…A warehouse manager wants to know if there is an association between the shift worked and being on time for work. To investigate, he selects a random sample of 70 workers and classifies each one according to the shift they worked most recently and whether they were on time for work. He was unable to classify a substantial number of people as being on time, so he classified those individuals as unknown. The data are displayed in the table. The manager would like to know if these data provide convincing evidence of an association between the shift worked and being on time in the large population of all workers at this warehouse. The random and 10% conditions are met. Is the Large Counts condition met? Yes, the smallest expected count is 5, so all expected counts are at least 5. Yes, the smallest expected count is 8.54, so all expected counts are at least 5. No, the smallest expected count is 2.56, so the expected counts are not all at least 5. No, the smallest expected count is…An article about the California lattery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The artide also gave Information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lattery ticket purchasers. Based on these sample data, is it reasonable to condude that ane or more af these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with a- 0.05. (Round your answer to two decimal places.) Age of Purchaser Frequency 18-34 45 35-64 100 65 and over 55 P-value interval OpThe World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the…Is there a relation between incidents of child abuse and number of runaway children? A random sample of cities (over 10,000 population) gave the following information about the number of reported incidents of child abuse and the number of runaway children. (Reference: Federal Bureau of Investigation, U.S. Department of Justice.) City 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Abuse cases 113 33 41 60 52 99 31 56 15 67 106 59 45 74 84 Runaways 648 188 285 687 421 590 284 277 162 473 600 432 317 580 592 Use a 1% level of significance to test the claim that there is a monotone-increasing relationship between the ranks of incidents of abuse and number of runaway children. (a) Rank-order abuse using 1 as the largest data value. Also rank-order runaways using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test. City Abuse CasesRank x RunawaysRank y d = x - y d2 123456789101112131415 Σd2 = (b) What is the level of…How do the average weekly incomes of electricians and carpenters compare? A random sample of 17 regions in the United States gave the following information about average weekly income (in dollars). (Reference: U.S. Department of Labor, Bureau of Labor Statistics.) Region 1 2 3 4 5 6 7 8 9 Electricians 464 715 597 464 736 694 744 571 806 Carpenters 542 813 513 476 688 503 789 653 474 Region 10 11 12 13 14 15 16 17 Electricians 592 594 702 579 868 598 597 654 Carpenters 489 647 676 384 817 605 556 505 Does this information indicate a difference (either way) in the average weekly incomes of electricians compared to those of carpenters? Use a 5% level of significance. (a) What is the level of significance? (b) Compute the sample test statistic. (c) Find the P-value of the sample test statistic.The table below shows the auto insurance quotes for two leading companies for a sample of 15 families. Assume the populations SDs are similar, but unknown. The President of the American Insurance Institute wants to compare the yearly costs of such insurance offered by the two companies. At the 0.10 level of significance, can we conclude that there is a difference in the amounts quoted? Families Southern Car American Mutual ($) ($) 1 2090 1610 2 1683 1247 3 1402 2327 4 1830 1367 5 930 1461 6 697 1789 7 1741 1621 8 1129 1914 9 1018 1956 10 1881 1772 11 1571 1375 12 874 1527 13 1579 1767 14 1577 1636 15 860 1188Political parties want to know what groups of people support them. The General Social Survey (GSS) asked its 2014 sample, "Generally speaking, do you usually think of yourself as a Republican, Democrat, Independent, or what?" The GSS is essentially an SRS of American adults. The large two‑way table provided breaks down the responses by the highest degree the subject held. None High School Jr. College Bachelor Graduate Strong Democrat 53 198 23 81 64 Not strong Democrat 52 204 31 70 49 Independent, near Democrat 40 163 26 66 42 Independent 118 251 36 67 30 Independent, near Republican 24 136 19 45 2525 Not strong Republican 19 142 30 71 30 Strong Republican 18 131 15 53 28 Other party 5 31 3 15 8 Use the four‑step process and the full table of counts to analyze the differences in political party support among levels of education. The sample is so large that the differences are bound to be highly significant, but provide the chi‑square statistic and its P‑value…A random survey of health issues, conducted by the Department of Public Health of the Commonwealth of Massachusetts, examined the results from the state's seven largest cities. These cities were selected on the basis of their diverse racial and ethnic populations. The percentage of adults with diabetes in each city in the survey is given in the following table. City Boston Worcester Springfield Lowell Fall River Lawrence NewBedford Adults withDiabetes (%) 4.2 5.2 9.1 5.7 8.1 7.9 6.3 Find the average percentage of adults with diabetes in these seven cities. (Round your answer to two decimal places.) %What is the standard deviation for these data? (Round your answer to two decimal places.) %
