In 1908, W.S. Gosset published the article "The Probable Error of a Mean" (Biometrika, Vol. 6, pp. 1-25). In this pioneering paper, written under the pseudonym "Student," Gosset introduced what later became known as the 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. 1.90.81.10.1-0.14.45.51.64.63.4Determine a 95% confidence interval for the additional sleep that would be obtained, on average, for all people using laevohysocyamine hydrobromide.Was the drug effective in increasing sleep? Explain your answer.

In 1908, W.S. Gosset published the article "The Probable Error of a Mean" (Biometrika, Vol. 6, pp. 1-25). In this pioneering paper, written under the pseudonym "Student," Gosset introduced what later became known as the 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) Determine a 95% confidence interval for the additional sleep that would be obtained, on average, for all people using laevohysocvamine hydrobromide (b) Was the drug effective in increasing sleep . Explain your