Assume that IQ scores are normally distributed, with a standard deviation of 10

Question

Assume that IQ scores are normally distributed, with a standard deviation of 10 points and a mean of 100 points. If 130 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? (Round your answer to four decimal places.)
1

A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 7 inches. A random sample of 58 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)
1

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 u = 39 minutes and standard deviation q = 8 minutes. (Round your answers to four decimal places.)

Explanation / Answer

1. 0.9887

2. 0.7068

3.

(a) 0.4503

(b) 0.2979

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