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The distribution of salaries at Trader Barb’s is known to be right-skewed with a mean of $\$55,000$ and a standard deviation of $\$1,000$. Suppose you take a random sample of $100$ salaries.

Describe the sampling distribution of the sample mean for all possible random samples of 100 salaries.

A

The sampling distribution is right-skewed with mean = $\$55,000$; standard error = $\$100$.

B

The sampling distribution is right-skewed with mean = $\$55,000$; standard error = $\$1,000$.

C

The sampling distribution is approximately normal with mean = $\$55,000$; standard error = $\$100$.

D

The sampling distribution is approximately normal with mean = $\$55,000$; standard error = $\$1,000$.

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