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A group of chemists wanted to determine whether a new catalyst 2 increased the reaction rate...

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A group of chemists wanted to determine whether a new catalyst 2increased the reaction rate of a particular chemical reactionrelative to that same chemical reaction with an older catalyst 1.The duration of the reactions, in seconds, are recorded below:

Catalyst 1:14.1,18.9,22,21.2,25.3,16.8,18.7,15.3,20.4,16.6,19.5,12.9,20.6,17.2,20.4

Catalyst 2: 18.2,16.7,16.5,17.6,15.8,15.3,17.2,16,17.4,16.9

(a) Plot the data using side-by-side box plots in R.

(b) Check the assumptions for performing a two-samplet-test.

(c) Perform the appropriate two sample t test for means at the5% level. As part of this test, specify your hypotheses, calculatea p value and make a conclusion in the context of the question.Compute the results by hand and then again using the t.testfunction in R.

(d) Construct and interpret a 95% confidence interval for thetrue difference in means (by hand and then again in R) applying thesame assumptions as in part c. Describe how this confidenceinterval relates to your findings in part c.

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