MASC 110 Final Exam.docx

# MASC 110 Final Exam.docx - QUESTION 1 1 It is thought that...

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QUESTION 1 1. It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: x 5.50 6.00 7.00 7.50 8.25 y 29 27 78 77 76 2. Calculate the sample correlation coefficient r . a . –0.887 b . –0.113 c . 0.887 d . 0.939 e . –0.939 4 points QUESTION 2 1. Suppose a random sample of 459 married couples found that 307 had two or more personality preferences in common. In another random sample of 471 married couples, it was found that only 31 had no preferences in common. Let be the population proportion of all married couples who have two or more personality preferences in common. Let be the population proportion of all married couples who have no personality preferences in common. Find a 95% confidence interval for a . 0.601 to 0.605 b . 0.530 to 0.676 c . 0.554 to 0.652 d . 0.529 to 0.677

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e . 0.555 to 0.651 4 points QUESTION 3 1. At Center Hospital there is some concern about the high turnover of nurses. A survey was done to determine how long (in months) nurses had been in their current positions. The responses (in months) of 20 nurses were 27 3 4 13 29 39 31 45 12 9 6 27 33 30 32 10 21 35 9 39 2. A box-and-whisker plot of the data is shown below. 3. 4. Find the interquartile range. a . 24.5 b . 40.5 c . 25.0 d . 23.0 e . 42.0
4 points QUESTION 4 1. 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 21 11 16 20 5 8 4 22 A: Percent for CEO 18 5 14 22 10 12 1 17 2. 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 is the value of the test statistic? a . 0.683 b . 0.730 c . –0.730 d . –0.639 e . –0.683 4 points QUESTION 5 1. Pyramid Lake, Nevada, is described as the pride of the Paiute Indian Nation. It is a beautiful desert lake famous for very large trout. The elevation of the lake surface (feet above sea level) varies according to the annual flow of the Truckee River from Lake Tahoe. Assume that the U.S. Geological Survey provided the following data: Year 1986 1987 1988 1989 1990 1991 1992 1993 Elevation 3812 3815 3817 3803 3798 3808 3795 3797 Year 1994 1995 1996 1997 1998 1999 2000 Elevation 3811 3797 3802 3811 3819 3820 3812 2.

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• Spring '16
• Variance, Null hypothesis, Statistical hypothesis testing

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