In 1908, W. S. Gosset published the article The Probable Error of a Mean (Biometrika, Vol. 6,
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Gosset used the following data set, which gives the additional sleep in hours obtained by a sample of 10 patients using laevohysocyamine hydrobromide.
a. Obtain and interpret a 95% confidence interval for the additional sleep that would be obtained on average for all people using laevohysocyamine hydrobromide. (x = 2.33 hr; s = 2.002 hr.)
b. Was the drug effective in increasing sleep? Explain your answer.
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