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. The result of the pooled- variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below. 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 proper conclusion for this test is:
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. The result of the pooled- variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below. 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 proper conclusion for this test is:
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![8- Aresearcher 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. The result of the pooled-
variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given
below.
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 proper conclusion for this test is:
Hypothesized Difference
Level of Significance
0.05
Population 1 Sample
Sample Size
Sample Mean
Sample Standard Deviation
18
99210
13577
Population 2 Sample
Sample Size
Sample Mean
Sample Standard Deviation
12
105820
11741
Difference in Sample Means
6610
t Test Statistic
-1.37631
Lower-Tail Test
Lower Critical Value
-1.70113
p-Value
0.089816
a) O At the a= 0.10 level, there is insufficient evidence to indicate any difference in the mean starting salaries of
male and female MBA graduates.
b) At the q= 0.10 level, there is sufficient evidence to indicate that females have a higher mean starting salary than
male MBA graduates.
At the -01o loval thoro ic Cufficiont ovidonce te indicate that fomale](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6814f2b-da0f-4459-9bb6-574aeefc888c%2Fecf9e32a-00bf-4fc6-9b12-05b568a80bd8%2Fo9closb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8- Aresearcher 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. The result of the pooled-
variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given
below.
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 proper conclusion for this test is:
Hypothesized Difference
Level of Significance
0.05
Population 1 Sample
Sample Size
Sample Mean
Sample Standard Deviation
18
99210
13577
Population 2 Sample
Sample Size
Sample Mean
Sample Standard Deviation
12
105820
11741
Difference in Sample Means
6610
t Test Statistic
-1.37631
Lower-Tail Test
Lower Critical Value
-1.70113
p-Value
0.089816
a) O At the a= 0.10 level, there is insufficient evidence to indicate any difference in the mean starting salaries of
male and female MBA graduates.
b) At the q= 0.10 level, there is sufficient evidence to indicate that females have a higher mean starting salary than
male MBA graduates.
At the -01o loval thoro ic Cufficiont ovidonce te indicate that fomale
![99210
Sample Standard Deviation
13577
Population 2 Sample
Sample Size
Sample Mean
Sample Standard Deviation
12
105820
11741
Difference in Sample Means
t Test Statistic
-6610
-1.37631
Lower-Tail Test
Lower Critical Value
-1.70113
p-Value
0.089816
At the a= 0.10 level, there is insufficient evidence to indicate any difference in the mean starting salaries of
male and female MBA graduates.
b) O At the a= 0.10 level, there is sufficient evidence to indicate that females have a higher mean starting salary than
a)
male MBA graduates.
c) O At the a= 0.10 level, there is sufficient evidence to indicate that females have a lower mean starting salary than
male MBA graduates.
d) O At the a= 0.10 level, there is sufficient evidence to indicate a difference in the mean starting salaries of male
and female MBA graduates.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6814f2b-da0f-4459-9bb6-574aeefc888c%2Fecf9e32a-00bf-4fc6-9b12-05b568a80bd8%2Ftws3mt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:99210
Sample Standard Deviation
13577
Population 2 Sample
Sample Size
Sample Mean
Sample Standard Deviation
12
105820
11741
Difference in Sample Means
t Test Statistic
-6610
-1.37631
Lower-Tail Test
Lower Critical Value
-1.70113
p-Value
0.089816
At the a= 0.10 level, there is insufficient evidence to indicate any difference in the mean starting salaries of
male and female MBA graduates.
b) O At the a= 0.10 level, there is sufficient evidence to indicate that females have a higher mean starting salary than
a)
male MBA graduates.
c) O At the a= 0.10 level, there is sufficient evidence to indicate that females have a lower mean starting salary than
male MBA graduates.
d) O At the a= 0.10 level, there is sufficient evidence to indicate a difference in the mean starting salaries of male
and female MBA graduates.
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