Question

Please can someone explain this to me. I am stuck at the last two questions

Use the following information to calculate your answers to questions 10 through 14.

Test scores of 10 individuals before and after a training program are shown below. Note: despite the sample size, assume that the sampling distribution of T⁺ can still be approximated by a normal distribution.

Individual	Score After the Program	Score Before the Program
1	57	59
2	62	57
3	60	60
4	63	66
5	69	68
6	63	59
7	74	72
8	56	52
9	64	58
10	64	63

Question 10

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What is the sum of positive signed ranks (T⁺)?

Select one:

a. 22.50

b. 8.44

c. 14.52

d. 36.50

e. 71.25

Question 11

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The mean µ_T is

Select one:

a. 71.25

b. 8.50

c. 8.44

d. 14.52

e. 22.50

Question 12

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The value of σ_T is

Select one:

a. 71.25

b. 22.50

c. 14.52

d. 8.44

e. 8.50

Question 13

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At α = 0.05, what can be concluded about the effectiveness of the training program?

Select one:

a. Since p-value is less than alpha, we can conclude that the training program was extremely effective.

b. Since p-value is greater than alpha, we can conclude that the training program was somewhat effective.

c. Since p-value is greater than alpha, we can conclude that the training program was ineffective.

d. The study is inconclusive.

e. Since p-value is less than alpha, we can conclude that the training program was ineffective.

Question 14

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At α = 0.2, what can be concluded about the effectiveness of the training program?

Select one:

a. Do not reject H_o: the training program was effective.

b. Reject H_o: the training program was ineffective.

c. Do not reject H_o: the training program was ineffective.

d. The study is inconclusive.

e. Reject H_o: the training program was effective

Answer 1

Question 10

What is the sum of positive signed ranks (T⁺)?

d. 36.50

Question 11

The mean µ_T is

e. 22.50

Question 12

The value of σ_T is

d. 8.44

Question 13

At α = 0.05, what can be concluded about the effectiveness of the training program?

a. Since p-value is less than alpha, we can conclude that the training program was extremely effective.

Question 14

At α = 0.2, what can be concluded about the effectiveness of the training program?

c. Do not reject H_o: the training program was ineffective.

The output is:

		variables:	the Program - the Program
		36.5	sum of positive ranks
		8.5	sum of negative ranks
		9	n
		22.500	expected value
		8.441	standard deviation
		1.659	z
		.0486	p-value (one-tailed, upper)
	No.	Data	Rank
	1	-2	3.5
	2	5	8
	3	-3	5
	4	1	1.5
	5	4	6.5
	6	2	3.5
	7	4	6.5
	8	6	9
	9	1	1.5