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

Answer:

The right answer is "516.3978".

Step-by-step 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:

⇒ $\sigma_\bar x$ = $\frac{\sigma}{\sqrt{n} }$

        $=\frac{4000}{\sqrt{60} }$

        $=516.3978$