Problem 2.22 (modified from Montgomery, 9th edition) The meanshelf life of a carbonated drink should exceed 120 days. Tenbottles are randomly selected and tested, and the results below areobtained: shelf life (days) = {108, 124, 124, 106, 115, 138, 163,159, 134, 139} a) Clearly state the hypothesis to be tested, firstin English and then in mathematical expressions for H0 and H1. b)Test the hypothesis at significance level 0.01. Report both thep-value and a 99% confidence interval to support your conclusion.Be sure to clearly state your conclusion in plain English andwithin the context of the problem.
