Mathematics, 08.04.2020 02:53 myiacoykendall

According to a recent survey, the population distribution of number of years of education for self-employed individuals in a certain region has a mean of 14.714.7 and a standard deviation of 3.23.2.(a) Find the mean and standard error of the sampling distribution of x^^\_ for a random sample of size n = 100.

mu. gifx^^\_ =
sigma. gifx^^\_ =

(b) Repeat (a) for n = 400.

mu. gifx^^\_ =
sigma. gifx^^\_ =

(c) Which of the following most closely describes the effect of increasing n?

a. The mean of the sampling distribution stays the same, but the standard error decreases.
b. The mean of the sampling distribution stays the same, but the standard error increases.
c. Both the mean and the standard error of the sampling distribution decrease.
d. Both the mean and the standard error of the sampling distribution increase.

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