A study was tal considerations. The level of support senior managers have for on

Question

A study was tal considerations. The level of support senior managers have for on a scalganging from 0 to 160 points. The study provided the folowing information (Type an integer or a decimal. Do not round.) The mean of the sampling distribution of x is (1) c. What does the Central Limit Theorem say about the shape of the sampling distribution of x? O B. The shape is appraximately that of a normal distibution. O C. The shape is O D. The shape is approximately that of a binomial distribution d. Find P (x> 61) Round to three decimal places as needed.) (1) O equal to 2) greater than O greater than O less than O less than O approximately equal to s88 a

Explanation / Answer

a)
mu(x) = 64
The of the sampling distribution is same equal to the population mean.

b)
sigma(x) = 22/sqrt(40) = 3.4785
The sd of the sampling distribution is less than the population sd.

c)
The shape is approximately that of a normal distribution

d)
P(xbar > 61)
= P(z > (61 - 64)/(22/sqrt(40)))
= P(z > -0.8624)
= 0.8058 (using standard z table)

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