Solve the following problem using R:
An experiment was designed to test the effects of a growth hormone (GH) on the daily milk production. The study involved ten pairs of identical twin dairy cows. For each pair of twins, only one cow was given the growth hormone, the other being considered a control. The table below gives the milk production (in kg per day) for each set of twins:
control GH
9.86 9.69
12.10 12.38
13.33 14.24
13.69 14.09
9.04 9.05
9.72 10.67
9.89 11.48
10.22 11.14
9.46 9.54
9.02 9.05
Is there evidence that the growth hormone increases the milk production? Justify your answer using a 98% confidence interval and a test of hypothesis at level alpha = 0.025. (Verify first that the normality assumption is satisfied.)