A young statistics professor decided to give a quiz in class every week. He was not sure if the quiz should occur at the beginning of class when the students are fresh or at the end of class when they€™ve gotten warmed up with some statistical thinking. Since he was teaching two sections of the same course that performed equally well on past quizzes, he decided to do an experiment. He randomly chose the first class to take the quiz during the second half of the class period (Late) and the other class took the same quiz at the beginning of their hour (Early). He put all of the grades into a data table and ran an analysis to give the results shown below. Use the information from the computer output to give the details of a test to see whether the mean grade depends on the timing of the quiz. (You should not do any computations. State the hypotheses based on the output, read the p-value off the output, and state the conclusion in context.)

Difference = mu (Late) ˆ’ mu (Early)
Estimate for difference: 2.83
95% CI for difference: (ˆ’0.20, 5.86)
T-Test of difference = 0 (vs not =): T-Value = 1.87
P-Value = 0.066 DF = 54

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Two-Sample T-Test and CI Sample Mean StDev SE Mean 0.91 5.13 6.61 Late 32 22.56 19.73 Early 30 1.2