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:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
icon
Related questions
Topic Video
Question
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
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax