Montclair State T Test Null Hypothesis and Correlation Questions
1. What is the null hypothesis for comparing performance ratings by gender?
2. Run a t-test on the data in the spreadsheet. Use a two-tailed, two sample equal variance test. What is the t-value? Round to three decimal points (e.g. 0.351)
3. Is there a significant difference in performance ratings by gender?
Group of answer choices:
No
Yes
4. What is the null hypothesis for determining if there is a relationship between Job Level and Performance Ratings?
5. Run an analysis to determine if there is a correlation between Job Level and Performance Rating. See Correlation in Excel for how to do this analysis in Excel. What is the correlation co-efficient? Round to two decimal points (e.g. 0.04)
6. What is the t-value for this relationship? Round to two decimal points (e.g. 0.04)
To answer this question, you have to covert the correlation co-efficient to a t value, using the following formula:
t = r × n − 2 1 − r 2
r= the correlation co-efficient
n= the number of observations
7. Is the relationship between Job Level and Performance Ratings significant? To answer this question, you can convert the t-value to a p-value in excel using the following command.
=t.dist.2t(t, degrees of freedom)
t.dist.2t is the command in excel for a two-tailed Student’s T output
The t in the parenthesis is the value you calculated above (if this is negative, covert it to a positive number by multiplying it by -1)
The degrees of freedom = (number of observations – 2)
If the value you find is less than 0.05, then the relationship is significant.
Group of answer choices:
No
Yes