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OpenStax, Statistics §9.4 Rare Events, the Sample, and the Decision and Conclusion · Exercise 12 · Statistics · Hypothesis testing

Rare Events, the Sample, and the Decision and Conclusion · Exercise 12

Suppose that a recent article stated that the mean time students spend doing homework each week is 2.5 hours. A study was then done to see if the mean time has increased in the new century. A random sample of 26 students was taken. The mean length of time they did homework each week was three hours with a standard deviation of 1.8 hours. Suppose that it is somehow known that the population standard deviation is 1.5. Conduct a hypothesis test to determine if the mean length of time doing homework each week has increased. Assume the distribution of homework times is approximately normal.

In words, define the random variable for this test.

~8 minWritten answer · compare with the solution

OpenStax, Statistics · §9.4 Rare Events, the Sample, and the Decision and Conclusion · Exercise 12

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