[Solution Library] In the 1908, W.S Gosset published "The Probable Error of a Mean". In this pioneering paper, published under the pseudonym "Student," he introduced


Question: In the 1908, W.S Gosset published "The Probable Error of a Mean". In this pioneering paper, published under the pseudonym "Student," he introduced that later became known as Student’s t-distribution. Gosset used the following data set, which gives the additional sleep in hours obtained by 10 patients who used laevohysocyamine hydro bromide.

1.9 0.8 1.1 0.1 -0.1
4.4 5.5 1.6 4.6 3.4
  1. Identify the variable under consideration.
  2. Identify the two populations
  3. Identify the paired-difference variable.
  4. Are the members in the table paired differences? Why or why not?
  5. At the 5% significance level, do the data provide sufficient evidence to conclude that laevohysocyamine hydro bromide is effective in increasing sleep? (Note:
  6. Repeat part (e) at the 1% significance level.

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