QUESTION 27 10 points Save A This is the second choice question that you can do. Please do one of these two options for a total of 10 points Leslie Knope is running a yearly raffle at the local Pawnee community college. The raffle is for a 500 thousand dollars prize. The students can buy any number of tickets for 50 dollars a ticket. The Parks and Recs department believes that different cohorts in the school will buy different amounts of tickets in the raffle. Rohn Swantson wants to burst Leslie bubble and show that both groups will buy the same amount of raffle tickets. He goes out and samples students in their third and fourth years of college. They found that the average number of sales to third years is 800 dollars and the average number of sales to fourth years is 1000 dollars. The standard deviation of the third years purchases is 70 dollars and fourth years is 100 dollars. Since both groups are in the same school, they assume that the standard deviation of both populations is the same. Ron wants to use a .10 Alpha for his study. He gives the assignment to April Ludgate to answer the following questions: 1. Write out the null and alternative hypotheses for the data above (2)-you must write it out for full points. 2. What is the critical value for the distribution above (2)? 3. Why is the assumption of different vs same standard deviation of the population important? (1) 4. What is the sample statistic for the sample above (3)? - You must write out all the steps to get full point. 5. Do I reject the null hypotheses or accept it? (2) TTT Arial 3 (12pt) T