It is claimed that a new diet will reduce a person's weight by 4.5 kg, on average, in a period of 2 weeks. The weights of 30 women,divided equally into three groups, who followed the diet were recorded before and after a 2-week period, yielding the following data: Group 3 Before 64.0 69.0 61.7 60.3 58.5 58.5 62.1 58.1 54.9 60.0 After 59.0 62.3 Group 2 Before 59.4 68.2 63.6 Group 3 After 58.5 62.1 58.1 After Before 58.7 62.3 59.1 60.0 53.8 54.2 54.0 61.0 61.7 56.3 58.5 63.0 60.2 54.4 59.9 58.5 56.7 62.6 64.0 54.9 60.0 55.4 57.0 57.0 69.0 61.7 60.3 58.5 64.8 62.1 58.1 59.1 58.0 59.0 56.1 53.9 52.3 55.8 55.7 54.9 58.4 60.0 At the 0.05 level of significance, a) test the hypothesis that the mean weight of the women do not differ at the onset of the regimen; b) test the hypothesis that the mean weight of the women do not differ att the end of the regimen; and c) test the claim against the alternative hypothesis that the mean weight reduction is less than 4.5 kg.
It is claimed that a new diet will reduce a person's weight by 4.5 kg, on average, in a period of 2 weeks. The weights of 30 women,divided equally into three groups, who followed the diet were recorded before and after a 2-week period, yielding the following data: Group 3 Before 64.0 69.0 61.7 60.3 58.5 58.5 62.1 58.1 54.9 60.0 After 59.0 62.3 Group 2 Before 59.4 68.2 63.6 Group 3 After 58.5 62.1 58.1 After Before 58.7 62.3 59.1 60.0 53.8 54.2 54.0 61.0 61.7 56.3 58.5 63.0 60.2 54.4 59.9 58.5 56.7 62.6 64.0 54.9 60.0 55.4 57.0 57.0 69.0 61.7 60.3 58.5 64.8 62.1 58.1 59.1 58.0 59.0 56.1 53.9 52.3 55.8 55.7 54.9 58.4 60.0 At the 0.05 level of significance, a) test the hypothesis that the mean weight of the women do not differ at the onset of the regimen; b) test the hypothesis that the mean weight of the women do not differ att the end of the regimen; and c) test the claim against the alternative hypothesis that the mean weight reduction is less than 4.5 kg.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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Transcribed Image Text:It is claimed that a new diet will reduce a person's weight by 4.5 kg, on average, in a period of
2 weeks. The weights of 30 women,divided equally into three groups, who followed the diet
were recorded before and after a 2-week period, yielding the following data:
Group 3
Before
64.0
69.0
Group 2
After
54.0
61.0
Group 3
After
58.5
After
Before
Before
59.0
59.4
58.7
62.3
68.2
62.3
62.1
63.6
56.7
62.6
61.7
56.3
61.7
59.1
60.2
58.1
60.3
58.5
60.0
54.9
60.0
55.4
56.1
53.9
52.3
55.8
54.4
59.9
58.5
53.8
58.5
63.0
64.8
58.5
54.2
64.0
62.1
57.0
69.0
61.7
62.1
58.1
57.0
59.1
58.0
59.0
58.1
54.9
55.7
60.3
54.9
60.0
58.4
58.5
60.0
At the 0.05 level of significance,
a) test the hypothesis that the mean weight of the women do not differ at the onset of the
regimen;
b) test the hypothesis that the mean weight of the women do not differ att the end of the
regimen; and
c) test the claim against the alternative hypothesis that the mean weight reduction is less than
4.5 kg.
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