As a class capstone project a student is interesting in comparing the academic abilities of the incoming Freshman class.

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As a class capstone project a student is interesting in comparing the academic abilities of the incoming Freshman class. The ACT scores for a small sample of individuals for each gender and the raw data is listed below. NOTE - You will need to find the sample means for the two groups to complete problems 1 & 2. 2 3 ना Male 21 25 22 26 23 26 22 27 29 32 Female 24 25 26 29 36 33 31 olc 10 Mean 25'3 29.01

2. According to Truman's admission office last years Freshman had an average ACT of 27 with a standard deviation of 3 (u= 27,0 =3) a. Using the traditional" cutoff method, test (a -0.05 ) to see if this year's female students have better academic abilities than last years students. b. Calculate the P-value for the above statistic, state your rejection region and test to see if this year's female students have better academic abilities than last years.

NOTE - You will need to find the sample standard deviation for the female group (I've already done it for the male group) to complete problems 3 & 4. Male 21 25 22 26 23 26 22 27 29 32 3.4657 Female 24 25 26 29 36 33 31 St. Dev 3. Test (a = 0.05 )to see if the amount of variation in this year's male students is different than last year. 4. Test(a -0.05 ) to see if the amount of variation in this year's female students is greater than last year.