Data were collected on calorie content in ales and IPAs and is summarized in the following table.

a. Does the sample data provide evidence that there is a difference in calorie content for ales and IPAs? Assume the conditions for using a t-test are satisfied. Use a significance level of 0.05 for the hypothesis test.

b. If the test had been to determine whether the mean for IPAs is significantly larger than the mean for Ales, how would this change the alternative hypothesis and p-value? Test this hypothesis write the conclusion for the test.

For questions 9.77 and 9.78 the data set is given at this text’s website. Assume that the data sets are from random samples and the distributions are Normal.

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Туре Ale IPA N 43 12 Sample mean 173.7 230.8 Sample standard de viation 24.8 75.9