A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. Analysis of the mean salaries of the females and males in the sample is given below.
Females
Males
Sample size
18
12
Sample mean
$48,266.7
$55,000
Sample standard deviation
$13,577.63
$11,741.29
Standard Error = $4,764.82
Means Difference = - $6,733.3
Z = 1.4528 (2-tailed p value = 0.1463)
t = -1.4221 (2-tailed p value = 0.1574)
Referring to Table 1, the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. The correct test statistic is: