3. A mathematics professor wants to determine whethern there is difference in the final averages between the past two semesters ( semester I and semester Il ) of his business statistics classes. For a random sample of 16 students from semester 1, the mean of the final average was 75 with a standard deviation of 4. For a random sample of 9 students from semester II, the mean was 73 with a standard deviation of 6. If the final averages from semesters I and II are assumed to be normally distributed with equal variances. Test at 5% level of significance

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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3. A mathematics professor wants to determine whethern there is difference in the final
averages between the past two semesters ( semester I and semester Il ) of his business
statistics classes. For a random sample of 16 students from semester 1, the mean of the
final average was 75 with a standard deviation of 4. For a random sample of 9 students
from semester II, the mean was 73 with a standard deviation of 6. If the final averages
from semesters I and II are assumed to be normally distributed with equal variances. Test
at 5% level of significance
Transcribed Image Text:3. A mathematics professor wants to determine whethern there is difference in the final averages between the past two semesters ( semester I and semester Il ) of his business statistics classes. For a random sample of 16 students from semester 1, the mean of the final average was 75 with a standard deviation of 4. For a random sample of 9 students from semester II, the mean was 73 with a standard deviation of 6. If the final averages from semesters I and II are assumed to be normally distributed with equal variances. Test at 5% level of significance
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