In Country A, the population mean height for 10-year-old girls is 54.2 inches with a standard deviation of 2.1 inches. Suppose a random sample of 15 10-year-old girls from Country B is taken and that these girls had a sample mean height of 53.9 inches with a standard deviation of 2.6 inches. Assume that heights are Normally distributed. Complete parts (a) through (c) below..--..a. Determine whether the population mean for height for 10-year-old girls from Country B is significantly different from the Country A population mean. Use a significance level of 0.05.Determine the null and alternative hypotheses. Choose the correct answer below.O A. Ho: H= 54.2B. Ho: µ> 54.2O c. Ho: μ< 54.2Ha: µ< 54.2Ha: µ = 54.2Hai H= 54.2D. Ho: H= 54.2Ha: µ#54.2E. Ho: µ= 54.2Ha:µ> 54.2O F. Ho: H#54.2Ha: µ= 54.2Check the conditions to see whether the test statistic will follow a t-distribution.The sampleisrandom and the observationsareindependent. The distribution of the heights is Normally distributed.Find the test statistic.t= - 0.45 (Round to two decimal places as needed.)Find the p-value.p= 0.662 (Round to three decimal places as needed.)Interpret the results of the test.Since the p-value isgreater thanthe significance level, do not reject Ho. There is insufficient evidence to conclude that the height for 10-year-old girls from Country B is significantly different from the Country A population mean at a significance level of 0.05.b. Now suppose the sample consists of 35 girls instead of 15. Repeat the test.Determine the null and alternative hypotheses. Choose the correct choice below.B. Ho: µ = 54.2Hai H> 54.2Ο Α. Η : μ# 54.2CC. Ho: μ= 54.2Ha: H= 54.2Ha: H#54.2O F. Ho: H<54.2Ha:µ = 54.2Ο D. Hρ: μ> 54.2Ο Ε. H: μ 54.2Ha:µ<54.2Ha:µ = 54.2Find the test statistic.t= - 0.68 (Round to two decimal places as needed.)Find the p-value.p = |(Round to three decimal places as needed.)

The sample size is 35, sample mean is 53.9, sample standard deviation is 2.6, and population mean is…

Answered: b. Now suppose the sample consists of…

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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