Problem: In 1908, W.S. Gosset published the article "The Probable Error of a Mean" (Biometrika, Vol. 6, pp. 1-25). In this pioneeringpaper, 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 (hereinafter referred to as "the drug"). 1.9 0.8 1.1 0.1 -0.1 4.4 5.5 1.6 4.6 3.4

Create a 95% confidence interval for the additional sleep that would be obtained on average for all people using the drug. Briefly explain the process that you used and why.