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, 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

Answer 1

The right answer is "516.3978".

Explanation:

Given:

Sample mean,

`\mu=52500`

Standard deviation,

`\sigma=4000`

Random sample,

`n = 60`

We can say that, the sample mean will be equivalent to the population mean.

So,

⇒
`\mu_\bar x=\mu`

`=52500`

hence,

The standard deviation will be:

⇒
`\sigma_\bar x` =
`(\sigma)/(√(n) )`

`=(4000)/(√(60) )`

`=516.3978`