Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population
1 2
Sample Size. 64 64
Sample Mean 3.8 5.0
Sample Variance 9.98 12.52
The value of the test statistic is
−2.02.
Calculate the p-value for a test of significant difference in the population means for the given data. (Round your answer to four decimal places.)
p-value =
Use the p-value to test for a significant difference in the population means at the 5% significance level.
- H0 is not rejected. There is insufficient evidence to indicate a difference in means.
- H0 is rejected. There is insufficient evidence to indicate a difference in means.
- H0 is rejected. There is sufficient evidence to indicate a difference in means.
- H0 is not rejected. There is sufficient evidence to indicate a difference in means.
Is this result consistent with the one obtained using the critical value approach, with = 0.05?
- Yes
- No