Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.6 inches.(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.[b) Suppose the P-value for this test is 0.11. Explain what this value represents.(c) Write a conclusion for this hypothesis test assuming an a = 0.05 level of significance. Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today resultsin a mean height of 64.6 inches.(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.(b) Suppose the P-value for this test is 0.11. Explain what this value represents.(c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significance.(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.O A. Ho H=64.6 in versus H,μ> 64.6 in.μ#63.7 in.O C. Ho H=63.7 in. versus H₁O E. Ho H=64.6 in versus H₁μ#64.6 in.(b) Suppose the P-value for this test is 0.11. Explain what this value represents.OA. There is a 0.11 probability of obtaining a sample mean height of 64.6 inches or taller from a population whose mean height is 63.7 inches.O B. There is a 0.11 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.6 inches.OC. There is a 0.11 probability of obtaining a sample mean height of 64.6 inches or shorter from a population whose mean height is 63.7 inches.O D. There is a 0.11 probability of obtaining a sample mean height of exactly 64.6 inches from a population whose mean height is 63.7 inches.(c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significanceOi99+1OB.Hop=64.6 in versus H₁ μ<64.6 inOD. Ho μ-63.7 in. versus H₁ μ> 63.7 in.OF. Hou 63.7 in. versus H₁ μ<63.7 in.Rain off and onWprt scNext6:53 PM11/29/202219 Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today resultsin a mean height of 64 6 inches.(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.(b) Suppose the P-value for this test is 0.11. Explain what this value represents.(c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significance.(b) Suppose the P-value for this test is 0.11. Explain what this value represents.OA. There is a 0.11 probability of obtaining a sample mean height of 64.6 inches or taller from a population whose mean height is 63.7 inches.OB. There is a 0.11 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.6 inches.OC. There is a 0.11 probability of obtaining a sample mean height of 64.6 inches or shorter from a population whose mean height is 63.7 inches.O D. There is a 0.11 probability of obtaining a sample mean height of exactly 64.6 inches from a population whose mean height is 63.7 inches.(c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significance.O A. Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today.OB. Reject the null hypothesis. There is not sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today.OC. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today.OD. Reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today.OBi(...)99+#Rain off and onNext6:53 PM11/29/2022

a) Suppose μ is the population mean height of women today.

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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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Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.6 inches. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. [b) Suppose the P-value for this test is 0.11. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an a = 0.05 level of significance.

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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