Question

Describe the sampling distribution of

ModifyingAbove p with caretp.

Assume the size of the population is

25,000.

nequals=600​,

pequals=0.5

Choose the phrase that best describes the shape of the sampling distribution of

ModifyingAbove p with caretp

below.

A.Not normal because

n less than or equals 0.05 Upper Nn≤0.05N

and np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10.

B.Approximately normal because

n less than or equals 0.05 Upper Nn≤0.05N

and np left parenthesis 1 minus p right parenthesis less than 10.np(1−p)<10.

C.Approximately normal because

n less than or equals 0.05 Upper Nn≤0.05N

and np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10.

D.Not normal because

n less than or equals 0.05 Upper Nn≤0.05N

and np left parenthesis 1 minus p right parenthesis less than 10.np(1−p)<10.Determine the mean of the sampling distribution of

ModifyingAbove p with caretp.

mu Subscript ModifyingAbove p with caret Baseline equalsμp=nothing

​(Round to one decimal place as​ needed.)Determine the standard deviation of the sampling distribution of

ModifyingAbove p with caretp.

sigma Subscript ModifyingAbove p with caret Baseline equalsσp=nothing

​(Round to three decimal places as​ needed.)

Answer 1