The Sampling Method
I have received a list of all student attending North Olmsted High School from Mrs. Caso. I then put that list into MINITAB, and randomly selected 75 males and 75 females. I must have a large sample size because some of the teenagers at this school may not have jobs. To accomplish this goal, i used the sampling from columns to ensure that the sampling was purely random.
The Population of Interest
The population of interest includes the entire student poulation of North Olmsted High School. Using this population, I can receive a general feel weekly incomes of teenage males and females that have jobs. I would like to know if there truly is a gender gap when it comes to teenage wages.
Hypothesis Test
I have chosen to do a two sample T Test for the study because I have separated the samples by male and female. I am testing to see if there truly is a gender gap in wages in North Olmsted High School. For the alternative hypothesis, I will be predicting that mew 1 is less than mew 2.
Statement of the Null and the Alternative
μ1= the true mean of weekly incomes for teenage females. μ2= the true mean of weekly incomes for teenage males. Ho: μ1 = μ2 Ha: μ1 < μ2
Complete Hypothesis Test
Ho: μ1= μ2
Ha: μ1 <
μ2
Alpha: .05
Assumptions: The samples were chosen randomly and
independently from one another. There must also be a normal distribution.
Using this equation, I was able to determine the t-value.
t-vlaue: 0.50 with 45 DF
p-value: 0.691
Conclusion: I fail to reject the null hypothesis at any reasonable
level of significance because my p-value is 0.691. Therefore, there
is insufficient evidence to say the true average of weekly incomes
for females is significantly less than the true average of weekly
incomes for males.