In random samples of 25 from each of two normal populations, we found the following statistics:

X1 = 524 S1 = 129
X2 = 469 S2 = 141

a. Estimate the difference between the two population means with 95% confidence.
b. Repeat part (a) increasing the standard deviations to S1 = 255 and S2 = 260.
c. Describe what happens when the sample standard deviations get larger.
d. Repeat part (a) with sample of size 100.
e. Discuss the effects of increasing the sample size.

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