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OpenStax, Statistics §9.4 Rare Events, the Sample, and the Decision and Conclusion · Exercise 14 · Statistics · Hypothesis testing

Rare Events, the Sample, and the Decision and Conclusion · Exercise 14

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.

Calculate the following:
(a) _______
(b) σ _______
(c) s_x _______
(d) n _______

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OpenStax, Statistics · §9.4 Rare Events, the Sample, and the Decision and Conclusion · Exercise 14

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