Question

Thirty students volunteer to test which of two strategies for taking multiple-choice exams leads to higher average results. Each student flips a coin, and if heads, uses Strategy A on the first exam and then Strategy B on the second, while if tails, uses Strategy B first and then Strategy A. The average of all 30 Strategy A results is then compared to the average of all 30 Strategy B results. What is the conclusion at the 5% significance level if a two-sample hypothesis test, H0: µ1 = µ2, Ha: µ1 ≠ µ2,results in a P-value of 0.18? A. The observed difference in average scores is significant. B. The observed difference in average scores is not significant. C. A conclusion is not possible without knowing the average scores resulting from using each strategy. D. A conclusion is not possible without knowing the average scores and the standard deviations resulting from using each strategy. E. A two-sample hypothesis test should not be used here.

          Thirty students volunteer to test which of two strategies for taking multiple-choice exams leads to higher average results. Each student flips a coin, and if heads, uses Strategy A on the first exam and then Strategy B on the second, while if tails, uses Strategy B first and then Strategy A. The average of all 30 Strategy A results is then compared to the average of all 30 Strategy B results. What is the conclusion at the 5% significance level if a two-sample hypothesis test, H0: µ1 = µ2, Ha: µ1 ≠ µ2,results in a P-value of 0.18?

A. The observed difference in average scores is significant.
B. The observed difference in average scores is not significant.
C. A conclusion is not possible without knowing the average scores resulting from using each strategy.
D. A conclusion is not possible without knowing the average scores and the standard deviations resulting from using each strategy.
E. A two-sample hypothesis test should not be used here.

Added by Harizz K.

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