homework9

# homework9 - b Determine the p-value c Develop a 95...

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Homework 9 Due October 30 1. The Graduate Management Admission Council conducted an extensive survey of first-year students in MBA programs. The study reported that the mean age of first-year MBA students was 27 years. A sample of 25 first-year MBA students at a particular Eastern school had a mean age of 27.6 and the population standard deviation is 1.5 years. a. Test at the .05 level of significance whether the mean age was different from 27. Use the five step procedure. b. Determine the p-value c. Develop a 95% confidence interval and interpret in two ways. 2. The manager of Keeton Department Store has assumed that the mean annual income of the store’s credit-card customers is at least \$48,000 per year. A sample of 18 credit-card customers shows a sample mean of \$47,200 and a population standard deviation of \$3000. a. Test at the .05 level of significance whether the mean income is smaller than the managers hypothesis. Use the five step procedure.
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Unformatted text preview: b. Determine the p-value c. Develop a 95% confidence interval and interpret in two ways. 3. A bath soap manufacturing process is designed to produce a mean of 120 bars of soap per batch. Quantities over or under this standard are undesirable. A sample of 10 patches shows the following number of bars of soap. 108,118,120,122,119,113,124,122,120,123 a. Test at the .10 level of significance whether the mean number of bars is equal to 120. Use the five step procedure. b. Estimate the p-value c. Develop a 90% confidence interval and interpret in two ways. 4. The dean insists that the Mean GPA of stat students in the summer is 2.9. A random sample of 9 students obtains the following GPAs. 3.2, 3.3, 3.9, 2.8, 3.0, 3.3, 3.4, 2.7, 3.7 a. Test at the .05 level of significance, test the dean’s assumption. Use the five step procedure. b. Estimate the p-value c. Develop a 95% confidence interval and interpret in two ways....
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