Suppose x has a normal distribution with mean μ = 35 and standard deviation σ = 9.

Question

(a) Describe the distribution of x values for sample size n = 4. (Use 2 decimal places.)
μx =
σx =

(b) Describe the distribution of x values for sample size n = 16. (Use 2 decimal places.)
μx =
σx =

(c) Describe the distribution of x values for sample size n = 100. (Use 2 decimal places.)
μx =
σx =

Answer 1

Expect the µ's to stay the same.

The standard error of the mean (SEm) = SD/√n

SEm would tend to get smaller as n increases.