A report included the following information on the heights (in.) for non-Hispanic white females.AgeSampleSizeSampleMeanStd. ErrorMean20–3986963.80.0960 and older93762.00.11(a)Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use ?20–39 − ?60 and older.) , Interpret the interval.We cannot draw a conclusion from the given information.We are 95% confident that the true average height of younger women is greater than that of older women by an amount within the confidence interval. We are 95% confident that the true average height of younger women is greater than that of older women by an amount outside the confidence interval.We are 95% confident that the true average height of younger women is less than that of older women by an amount within the confidence interval.(b)Let ?1 denote the population mean height for those aged 20–39 and ?2 denote the population mean height for those aged 60 and older. Interpret the hypotheses H0: ?1 − ?2 = 1 and Ha: ?1 − ?2 > 1.The null hypothesis states that the true mean height for older women is 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women.The null hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is 1 inch higher than for younger women. The null hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is 1 inch higher than for older women.The null hypothesis states that the true mean height for younger women is 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women.Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)z=P-value= A report included the following information on the heights (in.) for non-Hispanic white females.Std. ErrorMean0.090.11Sample SampleSize MeanAge20-3986993760 and older(a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use 20-39- 60 and older')63.862.0Interpret the interval.O We cannot draw a conclusion from the given information.Ⓒ We are 95% confident that the true average height of younger women is greater than that of older women by an amount within the confidence interval.O We are 95%confident that the true average height of younger women is greater than that of older women by an amount outside the confidence interval.confident that the true average height of younger women is less than that of older women by an amount within the confidence interval.O We are 95%(b) Let μ₁ denote the population mean height for those aged 20-39 and μ₂ denote the population mean height for those aged 60 and older. Interpret the hypotheses Ho: M₁ M₂ = 1 and H₂: M₁H₂> 1.O The null hypothesis states that the true mean height for older women is 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is more than inch higher thanfor younger women.O The null hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is 1 inch higher thanfor younger women.O The null hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is 1 inch higherthan for older women.The null hypothesis states that the true mean height for younger women is 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is more than 1 inch higherthan for older women.Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)P-value =

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Answered: A report included the following…

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

A report included the following information on the heights (in.) for non-Hispanic white females.

Age	Sample Size	Sample Mean	Std. Error Mean
20–39	869	63.8	0.09
60 and older	937	62.0	0.11

(a)

Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use ?_20–39 − ?_{60 and older}.)

Interpret the interval.

We cannot draw a conclusion from the given information.We are 95% confident that the true average height of younger women is greater than that of older women by an amount within the confidence interval. We are 95% confident that the true average height of younger women is greater than that of older women by an amount outside the confidence interval.We are 95% confident that the true average height of younger women is less than that of older women by an amount within the confidence interval.

(b)

Let

?₁

denote the population mean height for those aged 20–39 and ?₂ denote the population mean height for those aged 60 and older. Interpret the hypotheses

H₀: ?₁ − ?₂ = 1

and

H_a: ?₁ − ?₂ > 1.

The null hypothesis states that the true mean height for older women is 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women.The null hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is 1 inch higher than for younger women. The null hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is 1 inch higher than for older women.The null hypothesis states that the true mean height for younger women is 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women.

Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)

z=P-value=

A report included the following information on the heights (in.) for non-Hispanic white females.
Std. Error
Mean
0.09
0.11
Sample Sample
Size Mean
Age
20-39
869
937
60 and older
(a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use 20-39- 60 and older')
63.8
62.0
Interpret the interval.
O We cannot draw a conclusion from the given information.
Ⓒ We are 95% confident that the true average height of younger women is greater than that of older women by an amount within the confidence interval.
O We are 95%
confident that the true average height of younger women is greater than that of older women by an amount outside the confidence interval.
confident that the true average height of younger women is less than that of older women by an amount within the confidence interval.
O We are 95%
(b) Let μ₁ denote the population mean height for those aged 20-39 and μ₂ denote the population mean height for those aged 60 and older. Interpret the hypotheses Ho: M₁ M₂ = 1 and H₂: M₁
H₂> 1.
O The null hypothesis states that the true mean height for older women is 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is more than inch higher than
for younger women.
O The null hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is 1 inch higher than
for younger women.
O The null hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is 1 inch higher
than for older women.
The null hypothesis states that the true mean height for younger women is 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is more than 1 inch higher
than for older women.
Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
P-value =

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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