Question

Questions 23-30: A normal population has a mean μ = 50 and a standard deviation σ = 8. That is, ?~?(50,8). Circle your final answer for each question below.

26. If samples of size 25 are drawn from the population, what is the mean of the sampling distribution of ?̅?

27. If samples of size 25 are drawn from the population, what is the standard deviation of the sampling distribution of ?̅?

Answer 1

Solution-

Given that

Mean = 50

SD = 8

Sample size n = 25

. The sampling distribution of X is also normally distributed with and IMx = and

26. the mean of the sampling distribution of Xbar is 50

27.the standard deviation of the sampling distribution of Xbar

Sigma / $\sqrt{}$ n = 8 / $\sqrt{}$ 25

1.6

mean = 50

standard deviation = 1.6