The average of grade point averages (GPAS) of college courses in a specific major is a measure of difficulty of the major. An educator wishes to conduct a study to find out whether the difficulty levels of different majors are the same. For such a study, a random sample of major grade point averages (GPA) of 11 graduating seniors at a large university is selected for each of the four majors mathematics, English, education, and biology. The data are given in the table. Test, at the 5% level of significance, whether the data contain sufficient evidence to conclude that there are differences among the average major GPAS of these four majors. Major sample size Sample mean Sample Variance Mathematics 11 2.90 0.188 English 11 3.34 0.148 Education 11 3.36 0.229 Biology 11 3.02 0.157 =MST =MSE =The critical F =F

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The average of grade point averages
(GPAS) of college courses in a specific
major is a measure of difficulty of the
major. An educator wishes to conduct a
study to find out whether the difficulty
levels of different majors are the same.
For such a study, a random sample of
major grade point averages (GPA)
of 11 graduating seniors at a large
university is selected for each of the
four majors mathematics, English,
education, and biology. The data are
given in the table. Test, at the 5% level
of significance, whether the data
contain sufficient evidence to conclude
that there are differences among the
average major GPAS of these four
majors.
Major
sample size
Sample mean
Sample Variance
Mathematics
11
2.90
0.188
English
11
3.34
0.148
Education
11
3.36
0.229
Biology
11
3.02
0.157
=MST
=MSE
=The critical F
=F
Transcribed Image Text:The average of grade point averages (GPAS) of college courses in a specific major is a measure of difficulty of the major. An educator wishes to conduct a study to find out whether the difficulty levels of different majors are the same. For such a study, a random sample of major grade point averages (GPA) of 11 graduating seniors at a large university is selected for each of the four majors mathematics, English, education, and biology. The data are given in the table. Test, at the 5% level of significance, whether the data contain sufficient evidence to conclude that there are differences among the average major GPAS of these four majors. Major sample size Sample mean Sample Variance Mathematics 11 2.90 0.188 English 11 3.34 0.148 Education 11 3.36 0.229 Biology 11 3.02 0.157 =MST =MSE =The critical F =F
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