5. The Wechsler Adult Intelligence Scale (WAIS) is a common "IQ Test" For adults. The distribution of WÄIS scores for persons over 16 years of age is approximately normal with mean 100 and standard deviation 15. (a) What is the probability that a randomly chosen individual has a WAIS score of 105 or higher? (b) What is the probability that the average WAIS score of an SRS of 60 people is 105 or higher? (c) Suppose the distribution of WAIS scores in the adult population was distinctly nonnormal but had the same mean and standard deviation. Would it still be appropriate to use the normal distribution to compute the probability in part (a)? Justify your answer. Would it still be appropriate to use the normal distribution to compute the probability in part (b)? Justify your answer.

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5. The Wechsler Adult Intelligence Scale (WAIS) is a common "IQ Test" For
adults. The distribution of WÄIS scores for persons over 16 years of age is
approximately normal with mean 100 and standard deviation 15.
(a) What is the probability that a randomly chosen individual has a WAIS score
of 105 or higher?
(b) What is the probability that the average WAIS score of an SRS of 60 people
is 105 or higher?
(c) Suppose the distribution of WAIS scores in the adult population was distinctly
nonnormal but had the same mean and standard deviation.
Would it still be appropriate to use the normal distribution to compute the
probability in part (a)? Justify your answer.
Would it still be appropriate to use the normal distribution to compute the
probability in part (b)? Justify your answer.
Transcribed Image Text:5. The Wechsler Adult Intelligence Scale (WAIS) is a common "IQ Test" For adults. The distribution of WÄIS scores for persons over 16 years of age is approximately normal with mean 100 and standard deviation 15. (a) What is the probability that a randomly chosen individual has a WAIS score of 105 or higher? (b) What is the probability that the average WAIS score of an SRS of 60 people is 105 or higher? (c) Suppose the distribution of WAIS scores in the adult population was distinctly nonnormal but had the same mean and standard deviation. Would it still be appropriate to use the normal distribution to compute the probability in part (a)? Justify your answer. Would it still be appropriate to use the normal distribution to compute the probability in part (b)? Justify your answer.
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