8.131 Sleep. In 1908, W. S. Gosset published the article "The Prob- able Error of a Mean" (Biometrika, Vol. 6, pp. 1-25). In this pioneer- ing paper, written under the pseudonym "Student," Gosset introduced what later became known as Student's t-distribution. Gosset used the following data set, which gives the additional sleep in hours obtained by a sample of 10 patients using laevohysocyamine hydrobromide. 1.9 0.8 1.1 4.4 0.1 -0.1 3.4 5.5 1.6 4.6

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8.131 Sleep. In 1908, W. S. Gosset published the article "The Prob-
able Error of a Mean" (Biometrika, Vol. 6, pp. 1-25). In this pioneer-
ing paper, written under the pseudonym "Student," Gosset introduced
what later became known as Student's t-distribution. Gosset used the
following data set, which gives the additional sleep in hours obtained
by a sample of 10 patients using laevohysocyamine hydrobromide.
1.9 0.8 1.1 0.1 -0.1
4.4 5.5 1.6 4.6 3.4
a. Obtain and interpret a 95% confidence interval for the additional
sleep that would be obtained on average for all people using laevo-
hysocyamine hydrobromide. (Note: x = 2.33 hr; s = 2.002 hr.)
b. Was the drug effective in increasing sleep? Explain your answer.
Transcribed Image Text:8.131 Sleep. In 1908, W. S. Gosset published the article "The Prob- able Error of a Mean" (Biometrika, Vol. 6, pp. 1-25). In this pioneer- ing paper, written under the pseudonym "Student," Gosset introduced what later became known as Student's t-distribution. Gosset used the following data set, which gives the additional sleep in hours obtained by a sample of 10 patients using laevohysocyamine hydrobromide. 1.9 0.8 1.1 0.1 -0.1 4.4 5.5 1.6 4.6 3.4 a. Obtain and interpret a 95% confidence interval for the additional sleep that would be obtained on average for all people using laevo- hysocyamine hydrobromide. (Note: x = 2.33 hr; s = 2.002 hr.) b. Was the drug effective in increasing sleep? Explain your answer.
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