Independent random samples of n = 15 and n = 13 observations were selected from two normal populations with equal variances. Population Sample Size Sample Mean Sample Variance 1 2 15 13 34.9 32.2 4.8 5.8 (a) Suppose you wish to detect a difference between the population means. State the null and alternative hypotheses for the test. O Ho: (H) = 0 versus H: (H-H) > 0. Ho: (14 - 1) = 0 versus H: (11 11) * 0 Hoi (H) = 0 versus H: (H-H) = 0 Ho: (11-1) < 0 versus Ha: (-1/) > 0 Ho: (1-) = 0 versus H: ( 14) (c) Find the value of the test statistic. (Round your answer to three decimal places.) t = (d) Find the approximate p-value for the test. O p-value < 0.010 O 0.010 < p-value < 0.020 O 0.020 < p-value < 0.050 O 0.050 < p-value < 0.100 O 0.100 < p-value < 0.200 O p-value < 0.200 (e) Conduct the test and state your conclusions. O Ho is rejected. There is insufficient evidence to conclude that there is a significant difference between the population means. O Ho is rejected. There is sufficient evidence to conclude that there is a significant difference between the population means. O Ho is not rejected. There is insufficient evidence to conclude that there is a significant difference between the population means. OH is not rejected. There is sufficient evidence to conclude that there is a significant difference between the population means.