Question

A random sample of n=36 observations is drawn from a population with a mean equal to 24 and a standard deviation equal to 12.

a.	Give the mean and standard deviation of the​ (repeated) sampling distribution x over bar x.
b	Describe the shape of the sampling distribution of x over bar x. Does your answer depend on the sample​ size?
c.	Calculate the standard normal​ z-score corresponding to a value of x over bar x=19.
d.	Calculate the standard normal​ z-score corresponding to a value of x over bar x=25.

a.

mu Subscript x over bar μ x =______

sigma Subscript x over bar σ x =_____

b. Choose the correct answer below.

A. The shape is that of a uniform distribution and depends on the sample size.

B.The shape is that of a normal distribution and depends on the sample size.

C.The shape is that of a uniform distribution and​ doesn't depend on the sample size.

D. The shape is that of a normal distribution and​ doesn't depend on the sample size.

c. z=_________

d. z=__________

Answer 1