Question

You collected data from a random sample of high schoolers from WHYME High School in WHEREAMI, ILLINOIS. Group 1 represents the female responses (n = 6) as to how many acts of violence each respondent has committed in the last year. Group 2 represents the male responses (n = 6) as to how many acts of violence each has committed in the last year. You hypothesize that the mean for the females will be less than the mean for the males (note this is a one-tailed negative test because you are hypothesizing that Group A mean is LESS than the mean of Group B so you are hypothesizing being in the left tail of the distribution).

What is the value of the numerator?

Group / Group

     A / B

3 / 5

4 / 5

3 / 6

4 / 5

5 / 7

6 / 8

a. -1.83

b. 12.45

c. 15.34

d. 1.83

Answer 1

Numerator = 1 - 2,                (1)

Group1 : 3,4,3,4,5,6

So,

1 = 25/6 = 4.1667

Group 2: 5,5,6,5,7,8

So,

2 = 36/6 = 6

Substituting in (1), we get:
Numerator = 4.17 - 6 = - 1.83

So,

Correct option:

a. - 1.83