A. The data below shows the heights of a sample of male UCA students (in inches). What is the 99% confidence interval of the true population parameter describing average male UCA student height? 656767697060746668747769707573737068667561717170727073686762747566 B. Use your answer to problem A to evaluate the null hypothesis below regarding the true average height of the UCA student population. Circle the correct answer from the bolded options below the hypotheses. Ho : μ = 68 Ha : μ ≠ 68 REJECT FAIL TO REJECT NOT ENOUGH INFO

Answered: A. The data below shows the heights 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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A. The data below shows the heights of a sample of male UCA students (in inches). What is the 99% confidence interval of the true population parameter describing average male UCA student height?

B. Use your answer to problem A to evaluate the null hypothesis below regarding the true average height of the UCA student population. Circle the correct answer from the bolded options below the hypotheses.

H_o : μ = 68 H_a : μ ≠ 68

REJECT FAIL TO REJECT NOT ENOUGH INFO

Expert Solution

Step 1

The formula for the confidence interval of population mean is :

$C . I = x \pm t_{α / 2} . \frac{s}{\sqrt{n}}$

The two-tailed Students' t tabulated value at $α = 0.01$ level of significance with $(n - 1) = 32$ degrees of freedom is $2.738$

$\begin{array}{rcl} C . I & = & (69.576 \pm (2.738) . (\frac{4.176}{\sqrt{33}})) \\ = & (69.576 - 1.991; 69.576 + 1.991) \\ = & (67.585, 71.567) \end{array}$

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