A clinical trial was conducted to test the effectiveness of the drug zopiclone for testing insomnia in older subjects. Before treatment with zopiclone, the 16 subjects had a mean wake up time of 102.8 min. After treatment with zopiclone, 16 subjects had a mean wake up time of 98.9 min and a standard deviation of 42.3 min. Assume that the 16 sample values appear to be from a normally distributed population, and test the claim that after treatment with zopiclone, subjects had a mean wake up time of less than 102.8 min. Use a 0.01 significance level. a) State the null and alternative hypotheses. b) Show calculations and state whether the null hypothesis is rejected. c) State conclusion addressing the original claim

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A clinical trial was conducted to test the effectiveness of the drug zopiclone for testing insomnia in older subjects. Before treatment with zopiclone, the 16 subjects had a mean wake up time of 102.8 min. After treatment with zopiclone, 16 subjects had a mean wake up time of 98.9 min and a standard deviation of 42.3 min. Assume that the 16 sample values appear to be from a normally distributed population, and test the claim that after treatment with zopiclone, subjects had a mean wake up time of less than 102.8 min. Use a 0.01 significance level.

a) State the null and alternative hypotheses.

b) Show calculations and state whether the null hypothesis is rejected.

c) State conclusion addressing the original claim

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