Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose that a random sample of companies yielded the following data:   B: Percent for company 10 12 25 13 28 19 11 22 A: Percent for CEO 3 6 26 5 24 11 12 18 Do these data indicate that the population mean percentage increase in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 1% level of significance. What does the area of the sampling distribution corresponding to your P-value look like if the test statistic t = 3.379? Group of answer choices shade are to the right of -3.379  and to the left of 3.379 shade are to the left of -3.379  and to the right of 3.379 shade are to the right of -3.379 shade are to the left of -3.379 shade are to the left of 3.379

You may need to use the appropriate appendix table or technology to answer this question. The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Time.com). The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars. Private Colleges Public Colleges 52.8 44.2 45.0 33.3 44.0 20.3 22.0 28.2 15.6 24.1 28.5 31.6 44.8 36.8 50.5 43.0 22.8 25.8 18.5 25.6 14.4 21.8 (a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges. (Round the standard deviation to two decimal places.) sample mean $ 42.6 v thousand sample standard deviation $ 6.85 v thousand Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges. (Round the standard deviation to two decimal places.) v thousand v thousand sample mean $ 22.3 sample standard deviation $ 4.53 (b) What…

An economist wonders if corporate productivity in some countries is more volatile than in other countries. One measure of a company's productivity is annual percentage yield based on total company assets.A random sample of leading companies in France gave the following percentage yields based on assets. 4.6 5.4 3.4 3.1 2.4 3.5 2.8 4.4 5.7 3.4 4.1 6.8 2.9 3.2 7.2 6.5 5.0 3.3 2.8 2.5 4.5 Use a calculator to verify that the sample variance is s2 ≈ 2.109 for this sample of French companies.Another random sample of leading companies in Germany gave the following percentage yields based on assets. 3.3 3.2 3.2 4.1 5.4 5.5 5.0 5.4 3.2 3.5 3.7 2.6 2.8 3.0 3.0 2.2 4.7 3.2 Use a calculator to verify that s2 ≈ 1.077 for this sample of German companies.Test the claim that there is a difference (either way) in the population variance of percentage yields for leading companies in France and Germany. Use a 5% level of significance. How could your test conclusion relate to the…

How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars). I II III IV 27.9 13.5 22.2 17.9 23.2 9.6 20.5 16.4 14.7 11.1 7.7 14.5 8.3 8.9 12.7 15.9 11.8 6.5 7.7 10.6   19.1   9.5 What are the degrees of freedom? (numerator) (denominator)(c) Find the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100     0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.001 < P-value < 0.010 P-value < 0.001 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Since the P-value is greater than the level of significance at α = 0.05, we do not reject H0. Since the P-value is less than or equal to the level of significance at α = 0.05, we…

Do students with higher college grade point averages (GPAs) earn more than those graduates with lower GPAs?† Consider the following hypothetical college GPA and salary data (10 years after graduation). GPA Salary ($) 2.22 72,000 2.27 48,000 2.57 72,000 2.59 62,000 2.77 86,000 2.85 96,000 3.12 133,000 3.35 130,000 3.66 157,000 3.68 162,000 #1) Use these data to develop an estimated regression equation that can be used to predict annual salary 10 years after graduation given college GPA. (Let x = GPA, and let y = salary (in $). Round your numerical values to the nearest integer.) ŷ = #2) Find the value of the test statistic. (Round your answer to two decimal places.) #3)Find the p-value. (Round your answer to three decimal places.) p-value =

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A Statistics class reports the following data on Sex and Eye Color for students in the class: Green/Hazel/Other Total Blue 8 Brown 20 34 4 16 32 36 66 Males Females Total 12 16 12 18 a. What percent of the blue-eyed students are male? type your answer... % b. What percent of the class are blue-eyed males? % type your answer... c. What percent of the male students have blue eyes? type your answer... % d. What percent of the students who do not have blue eyes are females? % type your answer... e. What's the conditional distribution of sex for the brown-eyed students? Male: type your answer... % Female: type your answer... % f. What's the conditional distribution of Eye Color for the males? Blue: type your answer... Brown: type your answer... % %

Suppose we have the following data available for the average number of hours spent in the Santa Fe College Math lab. Male Female 1.50 0.75 1.20 0.82 1.30 0.91 1.05 0.84 0.75 0.59 0.80 1.02 1.00 1.90 0.95 2.10 0.925 2.20 2.50 2.50 3.00 3.50 3.50 2.20 4.01 1.80   Use Data Displays to comment on the shape of the distribution, measures of center and spread, possible skew, and outliers for both genders. (Hint: Use as many displays as needed.)

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 1188