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In random samples of 12 from each tow normal population, we found the following statistics:

x1‾ = 74     s1 = 18

x2 = 71     s2 = 16

a) Test with alpha = .05 to determine whether we can infer that the population means differ

b) Repeat Part a increasing the standard deviation 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 x1 = 76.

g) Discuss the effect of increasing x1.

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