Answered: A random sample of non-industrialized…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random sample of non-industrialized countries was selected, and the life expectancy in years is listed for both men and women. Men, x 69.7 72.9 61.9 76.2 70.3 83.2 Women, y 73.8 77.8 64.5 78.3 64.0 73.5 a. Draw a scatter plot. How would you interpret the scatter plot? (3m) b. Compute the correlation coefficient. Explain your answer. (3m) c. At  = 0.05, test the significance of the correlation coefficient. (5m) d. Is it significant to find a regression line equation? (1m) e. Compute the coefficient of determination and explain your answer. (2m) QUESTION 2 [10m] A survey reported that 39% of cardiologists said that they took vitamin E supplements. To see if this is still true, a researcher randomly selected 100 cardiologists and found that 36 said that they took vitamin E supplements. At  = 0.1, test the claim reported by the survey is true. a. At  = 0.1, test the claim reported by the survey is true. (5m) b. Construct a 90% confidence interval for the proportion of cardiologists who took vitamin E supplements. (4m) c. Does the answer in (b) in agreement with your conclusion in (a) above? Explain. (1m) QUESTION 3 [8m] The data below shown the number of jet skis accidents. It is claimed that the average number of accidents per year has increased from one period to the next. Earlier period Later period 1376 950 1844 2162 1513 1650 2236 1002 1028 2010 3002 a. State the hypotheses for the test of the difference between two means of these independent b. At  =0.05, is there enough evidence to support the claim? [Assuming equal variances] (7m) QUESTION 4 [8m] A ninth-grade teacher wishes to see if a new spelling program will reduce the spelling errors in his students’ writing. The number of spelling errors made by the students in a five-page assignment before the program is shown. Then the number of spelling errors made by students in a five-page assignment after the program is shown. Before 8 3 10 5 9 11 12 7 After 6 4 8 2 4 7 10 7 At 5% significance level, did the program work? for men and women in a given country?

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