Math Question # 1

Question

A population of values has a normal distribution with μ=80.6μ=80.6 and σ=34.8σ=34.8. You intend to draw a random sample of size n=151n=151.

1.1, What is the mean of the distribution of sample means?

μ¯x

1.1, What is the standard deviation of the distribution of sample means?

(Report answer accurate to 2 decimal places.)

σ¯x=σx¯= 

Please be very clear!

Answer 1

the mean of the distribution of sample means is the population mean (80.6).

the standard deviation of the distribution of sample means is the population standard deviation divided by the square root of the sample size = 34.8/sqrt(151) = 2.83.