Question

In: Statistics and Probability

Suppose that male adult weights follow a normal distribution with a mean of 182.9lb and a...

Suppose that male adult weights follow a normal distribution with a mean of 182.9lb and a standard deviation of 40.8lb.

1.Find the probability that 1 randomly selected male has a weight greater than 156.25 lb.

2.Find the probability that a sample of 16 males have a mean weight greater than 156.25 lb.

Expert Solution

Let X be the weight of a male adult

Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(-0.6532, TRUE)" to find the probability.

The probability that 1 randomly selected male has a weight greater than 156.25 lb is

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Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(-2.6127, TRUE)" to find the probability.

The probability that a sample of 16 males have a mean weight greater than 156.25 lb is

orchestra answered 1 year ago

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