A group of chemists wanted to determine whether a new catalyst 2 increased the reaction rate of aparticular chemical reaction relative to that same chemical reaction with an older catalyst 1. Theduration of the reactions, in seconds, are recorded below: Catalyst 1: 14.1,18.9,22.0, 21.2, 25.3, 16.8, 18.7, 15.3, 20.4, 16.6,19.5, 12.9, 20.6, 17.2, 20.4
Catalyst 2: 18.2, 16.7, 16.5, 17.6, 15.8, 15.3, 17.2, 16.0, 17.4, 16.9a.

a. Plot the data using side-by-side box plots.
b. Check the assumptions for performing a two-sample t-test.
c. Perform the appropriate test for means at the 5% level. As part of this test, specify your hypotheses, calculate a p-value and make a conclusion in the context of the question. Compute the results byhand and then again using thet. testfunction.
d. Construct and interpret a 95% confidence interval for the true difference in means (by hand andthen again in R) applying the same assumptions as in part b. Describe how this confidence intervalrelates to your findings in part b.2.