In a study comparing adult men and adult women,if the mean score of the men is 4.5 and
The mean score of the women is 6.5,and if the standard deviation of the group
Of 49 men is 5.3 while the standard deviation of the 64 women is 4.8,what is the approximate value of the Z-test result for these data?
A)+ 2.64
B)─ 2.06
C)+ 4.32
D)─ 4.32
E)+ 2.84

Question

Quizplus · Accepted Answer

To calculate the Z-test statistic, we use the formula:
Z = (mean1 - mean2) / sqrt((SD1^2/n1) + (SD2^2/n2))
where,
mean1 = 4.5 (mean score of men)
mean2 = 6.5 (mean score of women)
SD1 = 5.3 (standard deviation of group of 49 men)
SD2 = 4.8 (standard deviation of group of 64 women)
n1 = 49
n2 = 64

Plugging in the values, we get:
Z = (4.5 - 6.5) / sqrt((5.3^2/49) + (4.8^2/64))
Z = -2 / 0.9109
Z = -2.06

Therefore, the approximate value of the Z-test result for these data is -2.06. The best choice is option B.

In a Study Comparing Adult Men and Adult Women,if the Mean