Question

The mean height of women in the United States is 64.3 inches. A random sample of 60 women are selected. What is the probability that the mean height for the sample is great than 66 inches. Assume the standard deviation is 2.6 inches.

Answer 1

The probability that the mean height for the sample is great than 66

inches is zero

Step-by-step explanation:

The mean height of women in the United States is 64.3 inches.

A random sample of 60 women are selected

The given is:

1. The mean is 64.3 inches

2. The sample has 60 women

3. The standard deviation is 2.6 inches

We need to find the the probability that the mean height for the sample

is great than 66 inches ⇒ P(x > 66)

First use the formula of z-score⇒ z = (x - μ)/(σ/√n) to find the

probability that the sample mean will fall into

∵ x = 66 inches

∵ μ = 64.3 inches

∵ σ = 2.6 inches

∵ n = 60

∴ z = $\frac{66-64.3}{\frac{2.6}{\sqrt{60}}}$ = 5.06

If z score greater than 3.49, then its corresponding to an area very

close to 1

∴ The corresponding area is 1

∵ P(x > 66) corresponding to a right area

∴ P(x > 66) = 1 - 1 = 0

The probability that the mean height for the sample is great than 66

inches is zero

Learn more:

You can learn more about probability in brainly.com/question/10744457

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