1. Were the groups in this study independent or dependent? Provide a rationale for your answer.
The two groups were independent since they were formed based on gender with no intent to match subjects on any variable. The men and women selected didn’t share any relationship or live in the same location.
2. t = −3.15 describes the difference between women and men for what variable in this study? Is this value significant? Provide a rationale for your answer.
In this study, t= -3.15 describes the mental health variable. It is significant because they are the variables being tested since the p value is 0.002 and the alpha is 0.05, the difference can cause the null hypothesis to be rejected.
3. Is t = −1.99 significant? Provide a rationale for your answer. Discuss the meaning of this result in this study.
It is significant because the p= 0.049 value is smaller than the alpha that was set for this study (0.05). This means that there is a significant difference in the results obtained from men and women and this supports the experiment that was performed.
4. Examine the t ratios in Table VI. Which t ratio indicates the largest difference between the males and females post MI in this study? Is this t ratio significant? Provide a rationale for your answer.
The t ratio for mental health is t= -3.15, which indicates the largest difference between men and women post MI in this study. It is significant because it causes the t ratio to be significantly low, much less than alpha at 0.05 which was set for the study.
5. Consider t = −2.50 and t = −2.54. Which t ratio has the smaller p value? Provide a rationale for your answer. What does this result mean? t= -2.54 has a p value of 0.007, which is lower than that of t= -2.50 with a p value of 0.01. This indicates that the Role-Physical component has the greater difference between men and women that were studied post MI.
6. What is a Type I error? Is there a risk of a Type I