Answered: The height of women ages 20-29 is…

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

The height of women ages 20-29 is normally distributed, with a mean of

63.6

inches. Assume

σ=2.8

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

65.5

inches or are you more likely to select a sample of

women with a mean height less than

65.5

inches? Explain.

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

65.5

inches?

(Round to four decimal places as needed.)

What is the probability of selecting a sample of

women with a mean height less than

65.5

inches?

(Round to four decimal places as needed.)

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

65.5

inches or are you more likely to select a sample of

women with a mean height less than

65.5

inches? Choose the correct answer below.

It is more likely to select a sample of

women with a mean height less than

65.5

inches because the sample of

has a lower probability.

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

65.5

inches because the probability is higher.

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

65.5

inches because the probability is lower.

It is more likely to select a sample of

women with a mean height less than

65.5

inches because the sample of

has a higher probability.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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