Question

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

Answer 1