Suppose a simple random sample of size equals 64 is obtained from a population with mu equals 74 and sigma equals 32. (a) Describe the sampling distribution of x overbar. (b) What is Upper P left parenthesis x overbar greater than 78.6 right parentheses? (c) What is Upper P left parenthesis x overbar less than or equals 64.2 right parentheses? (d) What is Upper P left parenthesis 71.2 less than x overbar less than 81 right parentheses?

(a) Choose the correct description of the shape of the sampling distribution of x overbar

A. The distribution is skewed left.

B. The distribution is skewed right.

C. The distribution is approximately normal.

D. The distribution is uniform.

E. The shape of the distribution is unknown.

Find the mean and standard deviation of the sampling distribution of

x overbar

.

mu Subscript x overbar

equals

nothing

sigma Subscript x overbar

equals

nothing

(b) Upper P left parenthesis x overbar greater than 78.6 right parenthesis equals nothing

(Round to four decimal places as needed.)

(c) Upper P left parenthesis x overbar less than or equals 64.2 right parenthesis equals nothing

(Round to four decimal places as needed.)

(d) Upper P left parenthesis 71.2 less than x overbar less than 81 right parenthesis equals nothing

(Round to four decimal places as needed.)

Answer rating: 100% (QA)

a Since n 30 Distribution of T is approximately normal b X N 74 o 32 Standar... View the full answer