A college student is interested in testing whether

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16) A college student is interested in testing whether business majors or liberal arts majors are better at trivia. The student gives a trivia quiz to a random sample of 30 business school majors and finds the sample’s average test score is 86. He gives the same quiz to 30 randomly selected liberal arts majors and finds the sample’s average quiz score is 89. The student finds that the p-value for the hypothesis test equals approximately 0.0524. What can be concluded at α α=5%? The student should reject the null hypothesis and conclude that there is insufficient evidence of difference between business and liberal arts majors’ knowledge of trivia. Since the p-value, 0.0524, is greater than the significance level, 0.05, the student should fail to reject the null hypothesis. The student should reject the null hypothesis and conclude that there is a significant difference between business and liberal arts majors’ knowledge of trivia. Since the p-value, 0.0524, is greater than the significance level, 0.05, the student should fail to reject the null hypothesis. The student should fail to reject the null hypothesis and conclude that there is insufficient evidence of difference between business and liberal arts majors’ knowledge of trivia. CORRECT Since the p-value, 0.0524, is greater than the significance level, 0.05, the student should fail to reject the null hypothesis and conclude that there is insufficient evidence of difference between business and liberal arts majors’ knowledge of trivia. Because the null hypothesis is that there is no difference between the two types of majors, this answer is correct. The student should fail to reject the null hypothesis and conclude that there is a significant difference between business and liberal arts majors’ knowledge of trivia. Since the p-value, 0.0524, is greater than the significance level, 0.05, the student should fail to reject the null hypothesis. However, because the null hypothesis is that there is no difference between the two types of majors, the student should conclude that there is
insufficient evidence of difference between business and liberal arts majors’ knowledge of trivia. This answer is incorrect. 17) The data set below provides information about 125 randomly selected companies from the Standard and Poor’s (S&P) 1500. Calculate the average number of employees for real estate companies.
18) IQ scores are known to be normally distributed. The mean IQ score is 100 and the standard deviation is 15. What percent of the population has an IQ over 115?