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3. We know that heights of U.S. adult females is approximately normal with a mean of about 64 inches and standard deviation of about 2.5 inches. If we know that a randomly selected U.S. adult female is at least 66 inches tall, what is the probability they

3. We know that heights of U.S. adult females is approximately normal with a mean of about 64 inches and standard deviation of about 2.5 inches. If we know that a randomly selected U.S. adult female is at least 66 inches tall, what is the probability they

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3. We know that heights of U.S. adult females is approximately normal with a mean of about 64 inches and standard deviation of about 2.5 inches. If we know that a randomly selected U.S. adult female is at least 66 inches tall, what is the probability they are taller than 68 inches? 4. What is the answer to question three above if we take a random sample of nine (9) U.S. adult fernales? That is, if we know the sample mean is at least 66 inches, what is the probability the sample mean is more than 68 inches?
Transcribed Image Text:3. We know that heights of U.S. adult females is approximately normal with a mean of about 64 inches and standard deviation of about 2.5 inches. If we know that a randomly selected U.S. adult female is at least 66 inches tall, what is the probability they are taller than 68 inches? 4. What is the answer to question three above if we take a random sample of nine (9) U.S. adult fernales? That is, if we know the sample mean is at least 66 inches, what is the probability the sample mean is more than 68 inches?
Expert Solution
Step 1

Given, mean is 64 inches and standard deviation is 2.5 inches.

Here US adult female at least 66 inches tall.

We will use z-standard normal distribution.

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