I am trying to learn how to do the two-sample test and could use assistance in learning how to calculate the below problem. Thank you!

Table2.2 YearsofincarcerationforWhite,Black,Hispanic, andAsianmenandwomenprisoners
	Whites	Black	Hispanic	Asian
Mean	8.86	12.51	11.34	6.57
StandardDeviation	3.41	4.63	2.46	1.95
Variance	11.63	21.44	6.05	3.80
N	135	300	276	104

1. UsingTable2.2,conductatwo-samplettestexaminingtherelationshipbetweenyearsof incarceration for White and Asian felons. We are interested in finding out there is a difference between the two ethnic groups in regards numbers of years incarcerated.

Statetheresearchandnullhypothesesandselectalpha.

1. Research Hypothesis:

1. Null Hypothesis:

1. Alpha Level:

Computethet-statistic.

1. Calculate thedegreesof freedom.

1. Calculate theestimatedstandarderrorofthesampling distribution

1. Calculatethetstatistic.

• What is the t-statistic?

Makeadecisionandinterprettheresult.

• Givenourresearchhypothesis,wewillconduct a (oneor

two)-tailedtest.Weconfirmthatourobtainedtisonthe

(leftor right) tail of the distribution. Since our obtained tstatistic of is (lessor greater) than tcritical = (= ,two tailed;see AppendixB.3), we can state that its probability is less than 0.05. Being that the tobtained (, =, <) tcritical, we can we (rejectorfail to reject) the null hypothesis of no difference between the years of incarceration for Whites and Asians.