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In: Statistics and Probability

Assume that you have a sample of n1=9​, with the sample mean X overbar 1=46​, and...

Assume that you have a sample of n1=9​, with the sample mean X overbar 1=46​, and a sample standard deviation of S1=6, and you have an independent sample of n2=15 from another population with a sample mean of X overbar 2=36 and the sample standard deviation S2=8.

Complete parts​ (a) through​ (d) below.

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

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

c. using the significance level of alpha= 0.025, what is the critical value for a one-tail test of the hypothesis H0: μ1 greater than or equal to μ2​ against the alternative H1:μ1>μ2​?

d. what is your statistical decision?

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