SCENARIO 10-2 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. Hypothesized Difference Level of Significance Sample Size Sample Mean Population 1 Sample Sample Standard Deviation Population 2 Sample Sample Size Sample Mean Sample Standard Deviation Difference in Sample Means t Test Statistic Lower-Tail Test Lower Critical Value p-Value 0 0.05 18 99210 13577 12 105820 11741 -6610 -1.37631 -1.70113 0.089816
SCENARIO 10-2 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. Hypothesized Difference Level of Significance Sample Size Sample Mean Population 1 Sample Sample Standard Deviation Population 2 Sample Sample Size Sample Mean Sample Standard Deviation Difference in Sample Means t Test Statistic Lower-Tail Test Lower Critical Value p-Value 0 0.05 18 99210 13577 12 105820 11741 -6610 -1.37631 -1.70113 0.089816
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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Question
![SCENARIO 10-2
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.
Hypothesized Difference
Level of Significance
Population 1 Sample
Sample Size
Sample Mean
Sample Standard Deviation
Population 2 Sample
Sample Size
Sample Mean
Sample Standard Deviation
Difference in Sample Means
t Test Statistic
Lower-Tail Test
Lower Critical Value
p-Value
0
0.05
18
99210
13577
12
105820
11741
-6610
-1.37631
-1.70113
0.089816
Referring to Scenario 10-2, 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:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9d58198-92e2-40b4-9e93-9b09b9dc3ee0%2F84f70bbd-b356-421c-a109-a6bdbe2f0fef%2Fhljertd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:SCENARIO 10-2
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.
Hypothesized Difference
Level of Significance
Population 1 Sample
Sample Size
Sample Mean
Sample Standard Deviation
Population 2 Sample
Sample Size
Sample Mean
Sample Standard Deviation
Difference in Sample Means
t Test Statistic
Lower-Tail Test
Lower Critical Value
p-Value
0
0.05
18
99210
13577
12
105820
11741
-6610
-1.37631
-1.70113
0.089816
Referring to Scenario 10-2, 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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