Question

can anyone please solve this for me? I am having terrible luck and it is due in an hour.

D Question 1 50 pts It is often said that the criminal sentences given to minority offenders are more severe than those given to whites. You examine how this works in a federal district court. You take a sample of 80 bank robbery cases where the convicted offender was white and a second independent sample of 80 cases where the convicted offender was either African-American or Hispanic. Here's the data that you get: White Minority ny - 80 n2 - 80 X,- 67 months X2 - 73 months S, - 18 52-29 Test the null hypothesis that there is no difference between the two groups versus the alternative hypothesis that white suspects are sentenced on average to fewer months. Use an alpha of 0.05 (one- tailed). You cannot assume that the two population standard deviations are equal (01 + 02), so you are going to be using an independent samples separate variance t-test. Use 155 as your degrees of freedom Your null hypothesis is written as (Select] Your alternative hypothesis is written as Select) You use your alpha of 0.05 and df of 155 to find your critical value in the t-distribution table. Your

Answer 1

Giveni n = 80 n₂=80 Xi = 67 Si=18 Xzi 73 S2 = 29 Null hypothesis Ho all, =12 hypothesis is written as Alternative hypothesis is woitten as Ha: 11, celo df = 155 x=0.05 . The critical t value is ta, d.f. t0.05.155 -1.664744 -1.6547 { from statistical table } t value c X - 72 67 - 73 2 + 292 2 Si ni S2 + 80 80 6 4.05+10.5125 -6 J 14.5625 3.816084 - 2.183916 - 2.1839 t value is - 2. 1889

Since obtain t-value is greater than your critical t-value, you decide to reject the nul { IF t cal a torit then we reject Ho} hypothesis