Question

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Job Interview: Length The personnel office at a large electronics firm regularly schedules job interviews and maintains records of the interviews. From the past records, they have found that the length of a first interview is normally distributed, with mean m 5 35 minutes and standard deviation s 5 7 minutes. (a) What is the probability that a first interview will last 40 minutes or longer? (b) Nine first interviews are usually scheduled per day. What is the probability that the average length of time for the nine interviews will be 40 minutes or longer?

Psychology: IQ Scores Assume that IQ scores are normally distributed, with a standard deviation of 15 points and a mean of 100 points. If 100 people are chosen at random, what is the probability that the sample mean of IQ scores will not differ from the population mean by more than 2 points?

Basic Computation: pˆ Distribution Suppose we have a binomial distribution with n 5 24 trials and probability of success p 5 0.4 on each trial. The sample proportion of successes is pˆ 5 r/n. (a) Is it appropriate to approximate the pˆ distribution with a normal distribution? Explain. (b) What are the values of mˆ p and sˆ p?

Answer 1