# Question: Consider the following competing hypotheses and accompanying sample data H0

Consider the following competing hypotheses and accompanying sample data.

H0: µ1 - µ2 = 0

HA: µ1 - µ2 ≠ 0

1 = 57 2 = 43

s1 = 21.5 s2 = 15.2

n1 = 22 n2 = 18

Assume that the populations are normally distributed with unknown but equal variances.

a. Calculate the value of the test statistic.

b. Using the p-value approach, test the above hypotheses at the 5% significance level.

c. Repeat the analysis using the critical value approach.

H0: µ1 - µ2 = 0

HA: µ1 - µ2 ≠ 0

1 = 57 2 = 43

s1 = 21.5 s2 = 15.2

n1 = 22 n2 = 18

Assume that the populations are normally distributed with unknown but equal variances.

a. Calculate the value of the test statistic.

b. Using the p-value approach, test the above hypotheses at the 5% significance level.

c. Repeat the analysis using the critical value approach.

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