)a population of values has a normal distribution with μ=27.5 and σ=71.5. you intend to draw a random sample of size n=180.

what is the mean of the distribution of sample means?
μ¯x=

what is the standard deviation of the distribution of sample means?
(report answer accurate to 2 decimal places.)
σ¯x=

 a) 27.5, b) 5.33.

Step-by-step explanation:

Since we have given that

and n = 180

We need to calculate the sample mean and sample standard deviation.

So, the mean of the distribution of sample means is

The standard deviation of the distribution of sample means is

Hence, a) 27.5, b) 5.33.

more detail

step-by-step explanation: