It is claimed that a new diet will reduce a person's weight by 4.5 kilograms on average in a period of 2 weeks. The weights of 7 women who followed this diet were recorded before and after the 2- week period.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 7E: List the sample space of each experiment. Selecting a letter of the alphabet
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4) It is claimed that a new diet will reduce a person's weight by 4.5 kilograms on average in a period
of 2 weeks. The weights of 7 women who followed this diet were recorded before and after the 2-
week period.
Woman
Weight Before
Weight After
60.0
61.0
2
60.5
55.0
62.0
58.0
4
69.0
62.1
64.5
58.5
6.
62.6
60.0
57.0
54.5
Test the hypothesis that the diet reduces a woman's weight by 4.5 kilograms on average against the
alternative hypothesis that the mean difference in weight is less than 4.5 kilograms. Use a 0.05 level of
significance and assume that the populations to be normally distributed.
Transcribed Image Text:4) It is claimed that a new diet will reduce a person's weight by 4.5 kilograms on average in a period of 2 weeks. The weights of 7 women who followed this diet were recorded before and after the 2- week period. Woman Weight Before Weight After 60.0 61.0 2 60.5 55.0 62.0 58.0 4 69.0 62.1 64.5 58.5 6. 62.6 60.0 57.0 54.5 Test the hypothesis that the diet reduces a woman's weight by 4.5 kilograms on average against the alternative hypothesis that the mean difference in weight is less than 4.5 kilograms. Use a 0.05 level of significance and assume that the populations to be normally distributed.
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