### Statistical Hypothesis Testing of Birth WeightsWhen birth weights were recorded for a simple random sample of 14 male babies born to mothers in a region taking a special vitamin supplement, the sample had a mean of 3.681 kilograms and a standard deviation of 0.661 kilograms. A 0.05 significance level is used to test the claim that the mean birth weight for all male babies of mothers given vitamins is different from 3.4 kilograms, which is the mean for the population of all males in this particular region.The task is to determine whether the vitamin supplement appears to have an effect on birth weight. Based on these results, we need to formulate the null and alternative hypotheses and choose the correct answer.#### Hypotheses Options:- **Option A:** - \( H_0: \mu = 3.4 \) - \( H_a: \mu \neq 3.4 \)- **Option B:** - \( H_0: \mu = 3.4 \) - \( H_a: \mu > 3.4 \)- **Option C:** - \( H_0: \mu \neq 3.4 \) - \( H_a: \mu = 3.4 \)- **Option D:** - \( H_0: \mu = 3.4 \) - \( H_a: \mu < 3.4 \)In this context, the correct formulation for a two-tailed test (to check if there is any difference, not specifying direction) is:- **Correct Hypotheses Formulation:** - **Null Hypothesis (\( H_0 \))**: The mean birth weight is equal to 3.4 kilograms (\( \mu = 3.4 \)). - **Alternative Hypothesis (\( H_a \))**: The mean birth weight is not equal to 3.4 kilograms (\( \mu \neq 3.4 \)).This corresponds to **Option A**. This choice aligns with checking whether the mean is different (either higher or lower) than 3.4 kilograms.

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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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