Suppose the mean height of women age 20 years or older in a certain country is 62.9inches. One hundred randomly selected women in a certain city had a mean height of 63.8 inches. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national mean? Assume that the population standard deviation of the heights of women in the city is 3.6 inches. Set up the hypotheses for the one-mean z-test. H0: μ equals= Ha: μ does not equal≠ The test statistic isz=(Round to two decimal places as needed.) The P-value is(Round to four decimal places as needed.) _______ the null hypothesis. The data _________ sufficient evidence to conclude that the average height of women in the city is _________ the average height of women in the country. Suppose the mean height of women age 20 years or older in a certain country is 62.9 inches. One hundred randomly selected women in a certain city had a mean height of 63.8 inches. At the 5% significance level, do the data provide sufficient evidence toconclude that the mean height of women in the city differs from the national mean? Assume that the population standard deviation of the heights of women in the city is 3.6 inches.Set up the hypotheses for the one-mean z-test.Ho: u62.962.9The test statistic is z=.22(Round to two decimal places as needed.)The P-value is .8259(Round to four decimal places as needed.)Do not reject the null hypothesis. The dataprovidesufficient evidence to conclude that the average height of women in the city is different from the average height of women in the country.

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Answered: Suppose the mean height of women age 20…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Suppose the mean height of women age 20 years or older in a certain country is 62.9inches. One hundred randomly selected women in a certain city had a mean height of 63.8 inches. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national mean? Assume that the population standard deviation of the heights of women in the city is 3.6 inches.

Set up the hypotheses for the one-mean z-test.

H0: μ equals=

Ha: μ does not equal≠

The test statistic is

(Round to two decimal places as needed.)

The P-value is

(Round to four decimal places as needed.)

_______ the null hypothesis. The data _________ sufficient evidence to conclude that the average height of women in the city is _________ the average height of women in the country.

Suppose the mean height of women age 20 years or older in a certain country is 62.9 inches. One hundred randomly selected women in a certain city had a mean height of 63.8 inches. At the 5% significance level, do the data provide sufficient evidence to
conclude that the mean height of women in the city differs from the national mean? Assume that the population standard deviation of the heights of women in the city is 3.6 inches.
Set up the hypotheses for the one-mean z-test.
Ho: u
62.9
62.9
The test statistic is z=.22
(Round to two decimal places as needed.)
The P-value is .8259
(Round to four decimal places as needed.)
Do not reject the null hypothesis. The data
provide
sufficient evidence to conclude that the average height of women in the city is different from the average height of women in the country.

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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