Find probability using normal approximation to binomial

Reference no: EM13116181

Stanford-Binet IQ Test scores are normally distributed with a mean score of 100 and a standard deviation of 16.

(a) Find the probability that a randomly selected person has an IQ test score
(1) between 72 and 128.
(2) within 1.5 standard deviations of the mean.

(b) Suppose that you take the Stanford-Binet IQ Test and receive a score of 136. What percentage of people would receive a score higher than yours?

In a survey of marketing professionals about various scenarios involving ethical issues, among 205 randomly selected marketing researchers who participated in the survey, 117 said they disapprove of an actions taken in a certain scenario. Suppose that,
before the survey was taken, a marketing manager claimed that at least 65 percent of all marketing researchers would disapprove of that scenario.

(a) Assuming that the manager's claim is correct, calculate the probability that 117 or fewer of205 randomly selected marketing researchers would disapprove of the scenario. Use the normal approximation to the binomial.

(b) Based on you result of part (a), do you believe the marketing manager's claim? Explain.

Reference no: EM13116181

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