a. Suppose you want to determine whether the average values for populations 1 and 2 are different, and you randomly gather the following data.

Test your conjecture, using a probability of committing a Type I error of .01. Assume the population variances are the same and x is normally distributed in the populations.
b. Use these data to construct a 98% confidence interval for the difference in the two populationmeans.

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Sample 1 2 10 7 8 2 5 11 2 4 5 3 9 Sample 2 10 12 8 7 9 11 9 8 9 10 1 10 1 10 78 10 10