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In the introductory case to this chapter, the dean at a large university in California wonders if students at her university study less than the 1961 national average of 24 hours per week. She randomly selects 35 students and asks their average study time per week (in hours). From their responses, she calculates a sample mean of 16.3714 hours and a sample standard deviation of 7.2155 hours? Specify the competing hypotheses to test the dean’s concern. Calculate the value of the test statistic. Find the p-value. At the 5% significance level, what is the conclusion to the hypothesis test?
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As the introductory case to this chapter mentions, research finds that today’s undergraduates study an average of 14 hours per week. Using the sample data from Table, the dean would also like to test if the mean study time of students at her university differs from today’s national average of 14 hours per week. At the 5% significance level, what is the conclusion to this test?
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WHAT IS TEST STATISTIC FOR p?
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A popular weekly magazine asserts that fewer than 40% of households in the United States have changed their lifestyles because of environmental concerns. A recent survey of 180 households finds that 67 households have made lifestyle changes due to environmental concerns. Specify the competing hypotheses to test the magazine’s claim. Calculate the value of the test statistic and the p-value. At the 5% level of significance, what is the conclusion to the test?
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Driven by growing public support, the legalization of marijuana in America has been moving at a breakneck speed. Today, 57% of adults say the use of marijuana should be made legal (www.pewresearch.org, October 12, 2016). A health practitioner in Ohio collects data from 200 adults and finds that 102 of them favor marijuana legalization. The health practitioner believes that the proportion of adults who favor marijuana legalization in Ohio is not representative of the national proportion. Specify the competing hypotheses to test her claim. Calculate the value of the test statistic and the p-value. At the 10% significance level, do the sample data support the health practitioner’s belief?
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DEFINE CONFIDENCE INTERVAL?
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DEFINE GENERAL FORMAT OF THE CONFIDENCE INTERVAL FOR μ AND ρ?
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A sample of 25 cereal boxes of Granola Crunch, a generic brand of cereal, yields a mean weight of 1.02 pounds of cereal per box. Construct the 95% confidence interval for the mean weight of all cereal boxes. Assume that the weight is normally distributed with a population standard deviation of 0.03 pound.
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