Question

3. Suppose college faculty members with the rank of professor at two-year institutions earn an average of $52,500 per year with a standard deviation of $4,000. In an attempt to verify this salary level,

asked Dec 25, 2019 81.6k views

3. Suppose college faculty members with the rank of professor at two-year institutions earn an average of $52,500 per year with a standard deviation of $4,000. In an attempt to verify this salary level, a random sample of 60 professors was selected from a personnel database for all two-year institutions in the United States. A. What are the mean and standard deviation of the sampling distribution for n = 60? (2 points) B. What's the shape of the sampling distribution for n = 60? (1 point) C. Calculate the probability the sample mean x-bar is greater than $55,000. (1 point) D. If you drew a random sample with a mean of $55,000, would you consider this sample unusual? What conclusions might you draw? (1 point)