# Hypothesis Testing - Difference in Means

The wages data set has a sample size of 100 people that were surveyed. Our error margin was .05. For the 47 females surveyed the mean wage was $24,451 per year with a standard deviation of $12,455 per year. For the 53 males surveyed the mean wage was $36,492 per year with a standard deviation of $18,447 per year. Check the claim that there was a difference in salary based on the gender.

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Solution

Objective of the study is to check if there is significant difference in wages of Males and Females working in manufacturing, construction and other industries. Within the industries mentioned different occupations like management, sales, clerical, service, professional and other were considered.

For the 47 females surveyed the mean wage ( ) was $24,451 per year with a standard deviation ( ) of $12,455 per year. For the 53 males surveyed the mean wage ( ) was $36,492 per year with a standard deviation ( ) of $18,447 per year. We assume that wages of females and males were normally ...

#### Solution Summary

Solution explains the steps in hypothesis testing for the claim that there is a difference in wages of male and female based on gender.