Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard deviation 5 inch

Question

4 years ago

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Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard deviation 5 inch

es. (a) what is the probability that an 18-year-old man selected at random is between 66 and 68 inches tall? (round your answer to four decimal places.) (b) if a random sample of twelve 18-year-old men is selected, what is the probability that the mean height x is between 66 and 68 inches? (round your answer to four decimal places.)

Mathematics

1 answer:

Karolina [17] · Answer 1 · 2022-02-04T00:50:03+03:00

Karolina [17]4 years ago

6 0

(a) The probability that an individual is within 1 standard deviation of the mean is 0.1585

(b) The probablity that the mean of a sample of 12 is within 1 standard deviation of the population mean is 0.5116