1. If you have samples of n1 = 14 and n 2 = 18, in performing the pooled-variance t test, how many degrees of freedom do you have? 2. Assume that you have a sample of n 1 = 8, with the sample mean X 1...


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
 µ2
against the alternative, H1: µ1
7 µ2?


d. What is your statistical decision?



May 20, 2022
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