## Sampling Distribution of T+

Hi,

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 text

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

Select one:
a. 14.52
b. 71.25
c. 8.44
d. 36.50
e. 22.50

Question text

The mean µT is

Select one:
a. 22.50
b. 14.52
c. 71.25
d. 8.50
e. 8.44

Question text

The value of σT is

Select one:
a. 8.50
b. 8.44
c. 71.25
d. 14.52
e. 22.50

Question text

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

Select one:
a. Since p-value is greater than alpha, we can conclude that the training program was somewhat effective.
b. Since p-value is less than alpha, we can conclude that the training program was extremely effective.
c. Since p-value is less than alpha, we can conclude that the training program was ineffective.
d. Since p-value is greater than alpha, we can conclude that the training program was ineffective.
e. The study is inconclusive.

Question text

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

Select one:
a. Reject Ho: the training program was ineffective.
b. The study is inconclusive.
c. Do not reject Ho: the training program was ineffective.
d. Reject Ho: the training program was effective.
e. Do not reject Ho: the training program was effective.