Consider the following summary statistics (READ it from the attach file), calculated from two independent random samples taken from normally distributed populations.
Test the null hypothesis H0:μ1=μ2 against the alternative hypothesis HA:μ1<μ2.
a) To save you on calculations, I will tell you that the standard error of the difference in sample means (SE(X_1 bar - X_2 bar)) is 0.646234. Calculate the test statistic for the pooled-variancetprocedure.
Round your response to at least 3 decimal places.
b) Determine the range in which the p-value falls:
A. p-value > 0.10
B. 0.05 < p-value < 0.10
C. 0.025 < p-value < 0.05
D. 0.01 < p-value < 0.025
E. p-value < 0.01
c) What is the most appropriate conclusion that can be made?
A. There is sufficient evidence to reject the null hypothesis at both the 5% and 1% level of significance.
B. There is insufficient evidence to reject the null hypothesis at both the 5% and 1% level of significance.
C. There is sufficient evidence to reject the null hypothesis at the 5% level of significance, but not at the 1% level of significance.
D. There is sufficient evidence to reject the null hypothesis at the 1% level of significance, but not at the 5% level of significance.