Complete parts (a) through (d) for the sampling distribution of the sample mean

Question

Complete parts (a) through (d) for the sampling distribution of the sample mean shown in the accompanying graph Click the icon to view the graph. (a) What is the value of mu^-_x? The value of mu^-_x is. (b) What is the value of sigma^-_x? The value of sigma^-_x is (c) If the sample size is n = 16, what is likely true about the shape of the population? A. The shape of the population is skewed left B. The shape of the population is skewed right. C. The shape of the population is normal D. The shape of the population cannot be determined. (d) If the sample size is n = 16, what is the standard deviation of the population from which the sample was drawn? The standard deviation of the population from which the sample was drawn is.

Explanation / Answer

Answer to the questions are as follows:

a. MuX = 600

b. SigmaX = 600-570 = 30

c. n=16, the distribution of population is normal

d. if sample size=16, standard deviation of the population from which the sample was drawn is sqrt(16)*30 = 120

We derive the population deviation from sample deviation by multiplying by sqrt(n)

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