4) please make sure your answer is correct, Thank You So Much!

Question 4 (9 points) Suppose you're interested in studying if men spend differently then women on average for Valen- tine's Day in the United States. To do this you randomly sample 41 men and 101 women from across the US and record how much they spend for Valentine's Day. You nd that the men spend an average of 202 dollars with a standard deviation of 200 dollars while the women spend an average of 120 dollars with a standard deviation of 150 dollars. (a) Carry out a hypothesis test at a = .05 to test the claim that the average amount spent by men for Valentine's Day is different than the. average amount spent by women in the United States. Make sure to check all necessary conditions and state your conclusion in the context of this problem. (1)) Build a 95% confidence interval for the average. difference between the amount men spend on Valentine's Day compared to the amount women spend. Make sure to interpret your interval. Extra Credit Question 3) (1 point) Look back at. Question 4. Build and interpret a 95% condence interval for the average amount spent by US men for Valentine's Day