A study was performed on the sustainability behaviors of CPA corporations, based on the responses of 1,618 senior managers. Corporate sustainability refers to business practices designed around social and environmental considerations. The level of support senior managers have for corporate sustainability was measured quantitatively on a scale ranging from 0 to 160 points. The study provided the following information on the distribution of levels of support for sustainability: u = 74, o = 22. Now consider a random sample of 50 senior managers and let x represent the sample mean level of support. Complete parts a through d below. a. Give the value of hy, the mean of the sampling distribution of X, and interpret the result
;= (Type an integer or a decimal. Do not round.)
The mean of the sampling distribution of is the population mean.
b. Give the value of o;, the standard deviation of the sampling distribution of , and interpret the result. 0:- (Round to two decimal places as needed.) The standard deviation of the sampling distribution of X is the population standard deviation.
c. What does the Central Limit Theorem say about the shape of the sampling distribution of 7
A. The shape is approximately that of a binomial distribution.
B. The shape is approximately that of a Poisson distribution.
C. The shape is approximately that of a normal distribution.
D. The shape is approximately that of a uniform distribution.
d. Find P(X>72). P(x>72) = (Round to three decimal places needed.)