Suppose that a recent poll found that 51% of adults believe that the overall sta

Question

Suppose that a recent poll found that 51% 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 255 adults, the mean is the maximum number of them that would be expected to believe that the overall state of moral values is poor. B. 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. 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 256 of the 500 adults surveyed believe that the overall state of moral values is poor? No Yes

Explanation / Answer

n=500 and p=0.51

a) Mean is n*p=0.51*500=255

standard deviation is sqrt(n*p*(1-p))=sqrt(255*(1-0.51))=11.18

b) The answer is C

c) 256 will be not an unsual value because it is only 1 away from the mean. Answer is No

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