The height of women ages 20-29 is normally distributed, with a mean of 64.3 inches. Assume σ=2.7 inches. Are you more likely to randomly select 1 woman with a height less than 64.9 inches or are you more likely to select a sample of 20 women with a mean height less than 64.9 inches? Explain. LOADING... Click the icon to view page 1 of the standard normal table. LOADING... Click the icon to view page 2 of the standard normal table. Question content area bottom Part 1 What is the probability of randomly selecting 1 woman with a height less than 64.9 inches? enter your response here (Round to four decimal places as needed.) Part 2 What is the probability of selecting a sample of 20 women with a mean height less than 64.9 inches? enter your response here (Round to four decimal places as needed.) Part 3 Are you more likely to randomly select 1 woman with a height less than 64.9 inches or are you more likely to select a sample of 20 women with a mean height less than 64.9 inches? Choose the correct answer below. A. It is more likely to select a sample of 20 women with a mean height less than 64.9 inches because the sample of 20 has a higher probability. B. It is more likely to select 1 woman with a height less than 64.9 inches because the probability is higher. C. It is more likely to select 1 woman with a height less than 64.9 inches because the probability is lower. D. It is more likely to select a sample of 20 women with a mean height less than 64.9 inches because the sample of 20 has a lower probability.

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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Question content area bottom

Part 1

What is the probability of randomly selecting 1 woman with a height less than

64.9

inches?

enter your response here

(Round to four decimal places as needed.)

Part 2

What is the probability of selecting a sample of

women with a mean height less than

64.9

inches?

enter your response here

(Round to four decimal places as needed.)

Part 3

Are you more likely to randomly select 1 woman with a height less than

64.9

inches or are you more likely to select a sample of

women with a mean height less than

64.9

inches? Choose the correct answer below.

It is more likely to select a sample of

women with a mean height less than

64.9

inches because the sample of

has a higher probability.

It is more likely to select 1 woman with a height less than

64.9

inches because the probability is higher.

It is more likely to select 1 woman with a height less than

64.9

inches because the probability is lower.

It is more likely to select a sample of

women with a mean height less than

64.9

inches because the sample of

has a lower probability.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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