The accompanying data are taken from three different populations known to be normally distributed, with equal population variances based on independent simple random samples. Complete parts (a) through (c). Click the icon to view the data table. (a) Test the hypothesis that each sample comes from a population with the same mean at the = 0.05 level of significance. That is, test Ho: H =H2 H3. P-value = 0.003 (Round to three decimal places as needed.) Choose the correct conclusion below. Do not reject the null hypothesis. Reject the null hypothesis. (b) If you rejected the null hypothesis in part (a), use Tukey's test to determine which pairwise means differ using a familywise error rate of = 0.05. Find the Tukey 95% simultaneous confidence intervals for all pairwise comparisons. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. comparison OA. The interval for the pairwise comparison H-His The interval for the pairwise comparison H-H1 is - The interval for the pairwise comparison H3 H2 is (Round to two decimal places as needed.) OB. The null hypothesis was not rejected. Data table Sample 1 Sample 2 Sample 3 35.3 41.8 43.8 35.4 39.9 48.7 39.2 33.6 42.2 45.2 35.4 54.1 36.9 32.7 47.2 28.6 22.5 51.2 Print Done