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 = [tex]\frac{66-64.3}{\frac{2.6}{\sqrt{60}}}[/tex] = 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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