Question

A college instructor gave identical tests to two randomly sampled groups of 35 students. One group took the test on paper and the other took it online. The mean test score for the group that took the test on paper was 68.4 with a standard deviation of 10.2. The mean test score for the group that took the test online was 71.3 with a standard deviation of 10.7. Can you conclude there is a difference in the mean score between paper and online testing. Use the a = 0.05 level of significance. USE TI-84 STEP BY STEP please!

Answer 1

let

online group is sample 1

so we have

n1=35 m1=71.3 S1=10.7

paper group is sample 2

n2=35 m2=68.4 S2=10.2

since we have to test that mean scores for two groups is different or not hence

let us assume that population variance of two groups are equal hence

now test statistics is given by

Df=n1+n2-2=35+35-2=68

since test is two tailed so

P Value =2*P(t>1.16) =2*0.125=0.25

since P value is more than level of significance hence we failed to reject H0 hence there is no enough evidence to conclude that average score of online group and paper group is different.