Given the following null and alternative hypotheses H0: m1 m2 HA: m1 m2 together with the following sample information Sample 1 Sample 2 n1  14 n2  18 –x 1  565 –x 2  578 s1  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.