Two independent random samples

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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.

Reference no: EM131435411

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