# Question: Assume that you have a sample of n1 8

Assume that you have a sample of n1 = 8, with the sample mean X1 = 42, and a sample standard deviation σ1 = 4, and you have an independent sample of n2 = 15 from another population with a sample mean of X-bar2 = 34 and a sample standard deviation σ2 = 5.

a. What is the value of the pooled- variance tSTAT test statistic for testing H0: μ1 = μ2?

b. In finding the critical value, how many degrees of freedom are there?

c. Using the level of significance α = 0.01, what is the critical value for a one- tail test of the hypothesis H0: μ1 < μ2 against the alternative, H1: μ1 > μ2?

d. What is your statistical decision?

a. What is the value of the pooled- variance tSTAT test statistic for testing H0: μ1 = μ2?

b. In finding the critical value, how many degrees of freedom are there?

c. Using the level of significance α = 0.01, what is the critical value for a one- tail test of the hypothesis H0: μ1 < μ2 against the alternative, H1: μ1 > μ2?

d. What is your statistical decision?

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