QUESTION 15A certain company gives out end-of-year bonuses to their employees. A statistician takes a random sample of 8 female and 8 male employees to see whether there is any evidence of females getting smaller average bonuses (in U.S. dollars) than males. End-of-Year Bonuses (in USD)GenderSample SizeSample MeanSample Standard DeviationFemale88,3621,751Male89,9881,273 What is your conclusion at a significance level of α = 0.05? there is a difference in averages bonuses for female and males, p-value = 0.052 no significant evidence to suggest different bonuses between the two populations, p-value = 0.052 males are getting smaller bonuses than females, p-value = 0.972 females are getting smaller bonuses than males, p-value = 0.026

Given Data : For Sample 1 x̄1 = 8362.0 s1 = 1751.0 n1 = 8 For Sample 2…

Answered: in U.S. dollars) than males.…

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 15

A certain company gives out end-of-year bonuses to their employees. A statistician takes a random sample of 8 female and 8 male employees to see whether there is any evidence of females getting smaller average bonuses (in U.S. dollars) than males.

End-of-Year Bonuses (in USD)

Gender	Sample Size	Sample Mean	Sample Standard Deviation
Female	8	8,362	1,751
Male	8	9,988	1,273

What is your conclusion at a significance level of α = 0.05?

		there is a difference in averages bonuses for female and males, p-value = 0.052
		no significant evidence to suggest different bonuses between the two populations, p-value = 0.052
		males are getting smaller bonuses than females, p-value = 0.972
		females are getting smaller bonuses than males, p-value = 0.026