Consider the following competing hypotheses and accompanying sample data. Assume that the populations are normally distributed with

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Consider the following competing hypotheses and accompanying sample data.

Ho: Hy – Hz = 5 Hại Hh – Hz#5 X1 = 57 X2 = 43 S1 = 21.5 S2 = 15.2 n2 = 18 n = 22 %D

Assume that the populations are normally distributed with equal variances.

a. Calculate the value of the test statistic and the p-value.

b. At the 5% significance level, can you conclude that the difference between the two means differs from 5?

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