Question

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
	12		95	96
	8		71	69
	20		54	58
	10		79	84
	14		81	76
	3		65	59
	16		54	47
	4		60	68
	18		92	100
	15		59	68
	17		75	84
	7		72	82
	1		70	81
	19		70	81
	5		63	75
	11		84	96
	2		74	89
	13		83	99
	6		58	77
						Total

(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
p-value

(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