Suppose that a recent poll found that 60% of adults believe that the overall sta

Question

Suppose that a recent poll found that 60% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c).

(a) For 500 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor.

The mean of X is ___ (Round to the nearest whole number as needed.)

The standard deviation of X is _____ (Round to the nearest tenth as needed.)

(b) Interpret the mean. Choose the correct answer below.

A.

For every 500 adults, the mean is the minimum number of them that would be expected to believe that the overall state of moral values is poor.

B.

For every 300 adults, the mean is the maximum number of them that would be expected to believe that the overall state of moral values is poor.

C.

For every 500 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor.

D.

For every 500 adults, the mean is the range that would be expected to believe that the overall state of moral values is poor.

(c) Would it be unusual if 315 of the 500 adults surveyed believe that the overall state of moral values is poor?
Yes
No

Explanation / Answer

Solution:-

a) µ = np, = sqrt(npq)

   µ =   500 * 0.60 = 300

= sqrt(500 * 0.60*0.40) = 11.0

b) option C. For every 500 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor.

c) NO

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