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in. in. (Type integers or decimals. Do not round.)

in. in. (Type integers or decimals. Do not round.)

MATLAB: An Introduction with Applications
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 9
**Educational Content: Hypothesis Testing on Heights** Listed in the accompanying table are heights (in inches) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample data and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters. | **Mother** | **Daughter** | |-------------|----------------| | 65.5 | 65.5 | | 63.0 | 63.0 | | 67.0 | 65.0 | | 66.0 | 67.0 | | 66.5 | 67.9 | | 62.0 | 62.8 | | 64.0 | 69.0 | | 64.0 | 68.0 | | 63.0 | 69.5 | | | 65.5 | | | 66.0 | In this example, μ_d is the mean value of the differences for the population of all pairs of data, where each individual difference d is defined as the daughter's height minus the mother's height. What are the null and alternative hypotheses for the hypothesis test? - **H₀: μ_d = 0 in.** - **H₁: μ_d ≠ 0 in.** *(Use integers or decimals. Do not round.)*
Transcribed Image Text:**Educational Content: Hypothesis Testing on Heights** Listed in the accompanying table are heights (in inches) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample data and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters. | **Mother** | **Daughter** | |-------------|----------------| | 65.5 | 65.5 | | 63.0 | 63.0 | | 67.0 | 65.0 | | 66.0 | 67.0 | | 66.5 | 67.9 | | 62.0 | 62.8 | | 64.0 | 69.0 | | 64.0 | 68.0 | | 63.0 | 69.5 | | | 65.5 | | | 66.0 | In this example, μ_d is the mean value of the differences for the population of all pairs of data, where each individual difference d is defined as the daughter's height minus the mother's height. What are the null and alternative hypotheses for the hypothesis test? - **H₀: μ_d = 0 in.** - **H₁: μ_d ≠ 0 in.** *(Use integers or decimals. Do not round.)*
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