95% Confidence Interval for the difference between mean Anger In

Question #1
Suppose in the population, the Anger-Out score for men is two points higher than it is for women. The population variances for men and women are both 20. Assume the Anger-Out scores for both genders are normally distributed. Given this information about the population parameters:
(a) What is the mean of the sampling distribution of the difference between means? 
(b) What is the standard error of the difference between means? 
(c) What is the probability that you would have gotten this mean difference (see #24) or less in your sample? 

Question #2
Calculate the 95% confidence interval for the difference between the mean Anger-In score for the athletes and non-athletes. What can you conclude? 

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Question #3
Is there a difference in how much males and females use aggressive behavior to improve an angry mood? For the “Anger-Out” scores, compare the means for each gender.
Note regarding the attached spreadsheet: the first worksheet is the data. The second worksheet includes a description of the study and a description of the variables. 

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