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In random samples of 12 from each of two normal populations, we found the following statistics:

Xbar1 = 74 S1= 18

Xbar2 = 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 Xbar1 = 76.

g) Discuss the effect of increasing Xbar1.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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