You are a USUSA officer. You and your fellow student body officers have noticed

Question

You are a USUSA officer. You and your fellow student body officers have noticed that your events so far this year have been attended by many freshmen, but not by many seniors. You want to find out whether seniors differ from freshmen in how much they liked the last event: a poetry slam. You collected a survey asking 20 students how much they liked the poetry slam on a scale of 1-10. Conduct a two-tailed test using an alpha of .01. Record your answers below, and circle final answers. Show your work below or attach a separate sheet. Round to no less than 4 decimal places on each step. Final answers may be rounded to no less than 2 decimal places. What test statistic did you use? independent -measures + Statistic A Priori Expectations Setup Hypotheses Ho Seniors ant freshmen like event are equal H_1 Seniors and Freshmen like event are not equal Set Criteria for Decision alpha =.01 df = Decision Rule:

Explanation / Answer

priori expectation : they both like it same.

from above

step 3) df =n1+n2-2 =18 ; tcv =+/-2.8784

decision rule : rejection region tstat<-2.8784 or tstat >2.8784

here pooled std deviation Sp=((n1-1)s12+(n2-1)s22)/(n1+n2-2))1/2=1.4549

std error =Sp(1/n1+1/n2)1/2 =0.6506

hence test stat t=(X1-X2)/std error =1.998

as test stat is not in rejection region we can not reject null hypothesis

S. no freshman seniors 1 10 10 2 9 9 3 7 8 4 10 7 5 8 5 6 9 9 7 10 7 8 9 10 9 10 6 10 8 6 total 90.000 77.000 mean 9.000 7.700 std deviation(S) 1.054 1.767

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