Question

# I have solved everything except for the t-statistic and p-value Final test scores for a sample...

I have solved everything except for the t-statistic and p-value

Final test scores for a sample of 20 students in a managerial accounting class are shown

(a) At α = .05, is there a difference in the population median scores on the two tests? Fill in the right side of the worksheet below. (Round your Rank, R+, and R– answers to 1 decimal place. Negative values should be indicated by a minus sign.)

 Student Test 1 Test 2 d |d| Rank R+ R– 9 52 53 -1 Correct 1 Correct 1.5 Correct 1.5 Correct 12 95 96 -1 Correct 1 Correct 1.5 Correct 1.5 Correct 8 71 69 2 Correct 2 Correct 3 Correct 3 Correct 20 54 58 -4 Correct 4 Correct 4 Correct 4 Correct 10 79 84 -5 Correct 5 Correct 5.5 Correct 5.5 Correct 14 81 76 5 Correct 5 Correct 5.5 Correct 5.5 Correct 3 65 59 6 Correct 6 Correct 7 Correct 7 Correct 16 54 47 7 Correct 7 Correct 8 Correct 8 Correct 4 60 68 -8 Correct 8 Correct 9.5 Correct 9.5 Correct 18 92 100 -8 Correct 8 Correct 9.5 Correct 9.5 Correct 15 59 68 -9 Correct 9 Correct 11.5 Correct 11.5 Correct 17 75 84 -9 Correct 9 Correct 11.5 Correct 11.5 Correct 7 72 82 -10 Correct 10 Correct 13 Correct 13 Correct 1 70 81 -11 Correct 11 Correct 14.5 Correct 14.5 Correct 19 70 81 -11 Correct 11 Correct 14.5 Correct 14.5 Correct 5 63 75 -12 Correct 12 Correct 16.5 Correct 16.5 Correct 11 84 96 -12 Correct 12 Correct 16.5 Correct 16.5 Correct 2 74 89 -15 Correct 15 Correct 18 Correct 18 Correct 13 83 99 -16 Correct 16 Correct 19 Correct 19 Correct 6 58 77 -19 Correct 19 Correct 20 Correct 20 Correct Total 210 Correct 23.5 Correct 186.5 Correct

(b) Calculate the z-statistic and the p-value. (A Negative value should be indicated by a minus sign. In the Wilcoxon signed-rank test at α = .05, is there a difference in the population median scores on the two tests? Calculate the z-value using the book's formula and calculate the p-value using Excel. If you use MegaStat to check answers, you must use version 10.2 Release 2.1 or higher. Ensure the box marked “correct for ties” is NOT checked. Connect's answers follow the textbook method, which does not correct for ties. Round your z-statistic answer to 2 decimal places and p-value to 5 decimal places.)

 z-statistic -3.04 Correct p-value 0.00237 Correct

(c) Is there a difference in median scores?

• Yes

• No

(d) Perform a two-tailed parametric t-test for paired two-sample means. Calculate the t-statistic and p-value. (A Negative value should be indicated by a minus sign. Round your t-statistic answer to 2 decimal places and p-value to 4 decimal places.)

 t-statistic p-value

(e) Do these values support a conclusion of a difference in means?

• Yes

• No

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