Answered: Perform a hypothesis test to determine…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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In a salary discrimination case, a group of 23 individuals has claimed that they are being discriminated against when compared to their colleagues of different genders. In order to substantiate their claim, they measure the average salary and standard deviation of their group as $36,243 with a standard deviation of $740. They then take a random sample of employees of a different gender than their group consisting of 26 employees and find the average salary of this group is $37,950 with a standard deviation of $1420. Both groups have salaries that are normally distributed. Perform a hypothesis test to determine if there is evidence of discrimination at a 95% level of confidence.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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