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Exercise 2. Given the following null and alternative hypotheses ?0: ?1≥ ?2 ?a:?1<?2 together with the...

Exercise 2. Given the following null and alternative hypotheses

?0: ?1≥ ?2

?a:?1<?2

together with the following sample information

Sample 1

Sample 2

n1= 18

n2= 18

x1= 565

x2= 578

x1= 28.9

s2= 26.3

a-Assuming that the populations are normally distributed with equal variances, test at the 0.10 level of significance whether you would reject the null hypothesis based on the sample information. Use the test statistic approach.

b-Assuming that the populations are normally distributed with equal variances, test at the 0.05 level of significance whether you would reject the null hypothesis based on the sample information. Use the test statistic approach.

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