MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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According to a union agreement, the mean income for all senior-level assembly-line workers in a large company equals $500 per week. A representative of a women’s group decides to analyze whether the mean income μ for female employees matches this norm. For a random sample of nine female employees, y ̄ = $410 and s = $90.

a. Test whether the mean income of female employees differs from $500 per week. Include assumptions, hypotheses, test statistic, and P-value. Interpret the result.

b. Report the P-value for Ha : μ < 500. Interpret.

c. Report and interpret the P-value for Ha : μ > 500.. (Hint: The P-values for the two possible one-sided tests must sum to 1.)

 

I will be glad if you explain all the steps of all the solution.

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