1. If you have samples of n1 = 14 and n2= 18, in performing the pooled-variance t test, how many degrees of freedom do you have?
2. Assume that you have a sample of n1= 8, with the sample mean X1= 42, and a sample standard deviation S1= 4, and you have an independent sample of n2= 15 from another population with a sample mean of X2= 34 and a sample standard deviation S2= 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 a = 0.01, what is the critical value for a one-tail test of the hypothesis H0: µ1 µ2against the alternative, H1: µ17 µ2?
d. What is your statistical decision?
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