Below are the means of 15 samples (n = 55 for each sample) drawn at random from

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Below are the means of 15 samples (n = 55 for each sample) drawn at random from a population.

4.2 4.9 3.8 3.7 4.0 5.2 4.6 5.2 3.5 4.4 3.8 5.0 4.1 4.8 5.1


a. Based on these sample means, calculate the best estimate for the population mean.

b. Calculate the standard error for the sampling distribution made from the 15 sample means above.

c. Calculate the best estimate for the population standard deviation.

d. Can a researcher learn about the distribution of the population from these sample means? Why or why not?

e. If the n of each sample were 30 instead of 55, what impact would it have on the estimate of the population mean?

f. If the n of each sample were 30 instead of 55, what impact would it have on the standard error?

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