6) A researcher was interested in comparing the GPAS of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAS. College A College B 3.7 3.8 2.8 3.2 3.2 4.0 3.0 3.0 3.6 2.5 3.9 2.6 2.7 3.8 4.0 3.6 2.5 3.6 2.8 3.9 3.4 Determine a 95% confidence interval for the difference between the mean GPAS of college A students and college B students. (Note: x1 = 3.1125, x2 = 3.4385, s1 = 0.4357, s2 = 0.5485.) Preliminary data analyses indicates that you can reasonably use nonpooled t –procedures on the given data. Apply a nonpooled t-test to perform the required hypothesis test, using either the critical -value approach or the P-value approach. 7) A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how many hours he or she had watched television during the previous week. The summary statistics are as follows. Women Men X1 = 11.8 x2 = 13.6 s1 = 3.9 s2 = 5.2 n1 = 14| n2 = 17 At the 5% significance level, do the data provide sufficient evidence to conclude that the mean television watching time of women is less than that of men?
6) A researcher was interested in comparing the GPAS of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAS. College A College B 3.7 3.8 2.8 3.2 3.2 4.0 3.0 3.0 3.6 2.5 3.9 2.6 2.7 3.8 4.0 3.6 2.5 3.6 2.8 3.9 3.4 Determine a 95% confidence interval for the difference between the mean GPAS of college A students and college B students. (Note: x1 = 3.1125, x2 = 3.4385, s1 = 0.4357, s2 = 0.5485.) Preliminary data analyses indicates that you can reasonably use nonpooled t –procedures on the given data. Apply a nonpooled t-test to perform the required hypothesis test, using either the critical -value approach or the P-value approach. 7) A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how many hours he or she had watched television during the previous week. The summary statistics are as follows. Women Men X1 = 11.8 x2 = 13.6 s1 = 3.9 s2 = 5.2 n1 = 14| n2 = 17 At the 5% significance level, do the data provide sufficient evidence to conclude that the mean television watching time of women is less than that of men?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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Transcribed Image Text:6) A researcher was interested in comparing the GPAS of students at two different colleges. Independent simple
random samples of 8 students from college A and 13 students from college B yielded the following GPAS.
College A College B
3.7
3.8 2.8
3.2
3.2 4.0
3.0
3.0 3.6
2.5
3.9 2.6
2.7
3.8 4.0
3.6
2.5 3.6
2.8
3.9
3.4
Determine a 95% confidence interval for the difference between the mean GPAS of college A students and
college B students.
(Note: x1 = 3.1125, x2 = 3.4385, s1 = 0.4357, s2 = 0.5485.)
Preliminary data analyses indicates that you can reasonably use nonpooled t –procedures on the given data. Apply a
nonpooled t-test to perform the required hypothesis test, using either the critical -value approach or the P-value
approach.
7) A researcher was interested in comparing the amount of time spent watching television by women and by
men. Independent simple random samples of 14 women and 17 men were selected, and each person was
asked how many hours he or she had watched television during the previous week. The summary statistics are
as follows.
Women
Men
X1 = 11.8 x2 = 13.6
s1 = 3.9 s2 = 5.2
n1 = 14| n2 = 17
At the 5% significance level, do the data provide sufficient evidence to conclude that the mean television
watching time of women is less than that of men?
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