In this exercise, you are to perform a computer simulation to illustrate the sampling distribution of the

Question:

In this exercise, you are to perform a computer simulation to illustrate the sampling of the difference between two sample means for independent samples, Key Fact 10.1 on page 394.
a. Simulate 1000 samples of size 12 from a normally distributed variable with a mean of 640 and a standard deviation of 70.
Obtain the sample mean of each of the 1000 samples.
b. Simulate 1000 samples of size 15 from a normally distributed variable with a mean of 715 and a standard deviation of 150.
Obtain the sample mean of each of the 1000 samples.
c. Obtain the difference, x1 − x2, for each of the 1000 pairs of sample means obtained in parts (a) and (b).
d. Obtain the mean, the standard deviation, and a histogram of the 1000 differences found in part (c).
e. Theoretically, what are the mean, standard deviation, and of all possible differences, x1 − x2? Distribution
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