### Hypothesis Testing on Average Height of Children with a Disease#### BackgroundAccording to the World Health Organization, the average height of a one-year-old child is 29 inches. Research has been undertaken to evaluate whether children with a particular disease exhibit growth differentials, specifically whether they are smaller than the average child of the same age.#### Study DesignA sample of 20 children with the disease were measured, revealing:- Sample mean height: 27.5 inches- Sample standard deviation: 1.5 inchesUsing the TTEST function, the following statistical outputs were obtained:- Test statistic: -4.4721- p-value: 0.00013#### Hypothesis- Null hypothesis (H₀): The mean height of children with the disease is 29 inches (μ = 29).- Alternative hypothesis (H₁): The mean height of children with the disease is less than 29 inches (μ < 29).#### AnalysisThe provided p-value (0.00013) derived from the test statistic (-4.4721) will be evaluated against the significance level (α = 0.05) to draw conclusions.#### ConclusionSince our p-value of 0.00013 is significantly less than the standard alpha level of 0.05, we reject the null hypothesis. This finding supports the claim that children with the disease tend to be smaller, on average, than the general population of one-year-old children.**Implications**: The substantial deviation from the average height indicates potential growth issues related to the disease. Further research may be warranted to explore underlying causes and potential interventions.

The test statistic is -4.4721 and the p-value is 0.00013.

Answered: According to the World Health…

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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