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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