Question

While the following simple random samples of Statistics test scores both come from populations that are normally distributed, we do not know the standard deviation of the populations. The first simple random sample is drawn from the scores on Exam 1 for an on-line Statistics class and the second simple random sample is drawn from the scores on the exact same Exam 1 for an on-land (traditional) Statistics class. Using the null hypothesis that there is no difference in the performance of the two groups test the claim that the on-line class actually performs better on the average on Exam 1 than the on-land (traditional) class does.

On-line Statistics Class Scores on the Objective Portion of the Exam 1 Chapters 1 - 3

93           85           78           62           88           73           70           87           58           91           70           74           78

97           72           90           61           93           89           91           93           82           85           90           92           56

On-land (Traditional) Statistics Class Scores on the Objective Portion of Exam 1 Chapters 1 – 3

73           64           62           58           85           77           59           67           95           71           97           80           72

86           76           73           81           72           89           94           72          

Test the hypothesis indicated above at the α = 0.05 level of significance by doing the following the 8 steps described in the Handout Steps in Hypothesis Testing.

Answer 1