In random samples of 12 from each of two normal populations, we found the following statistics:
x̄1 = 74 s1 = 18
x̄2 = 71 s2 = 16
a. Test with α = .05 to determine whether we can infer that the population means differ.
b. Repeat part (a) increasing the standard deviations to s1 = 210 and s2 = 198.
c. Describe what happens when the sample standard deviations get larger.
d. Repeat part (a) with samples of size 150.
e. Discuss the effects of increasing the sample size.
f. Repeat part (a) changing the mean of sample 1 to x̄1 = 76.
g. Discuss the effect of increasing x̄1.