44 överweight Is a weight loss program based on exercise just as effective as a program based on diet? people put on a strict one year exercise program lost an average of 22 pounds with a standard deviation of 6 pounds. The 57 overweight people put on a strict one year diet lost an average of 20 pounds with a standard deviation of 9 pounds. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer Select an answer v Select an answer v (please enter a decimal) H1: Select an answer ♥ Select an answer v Select an answer v (Please enter a decimal) c. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = |(Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answer ♥ the null hypothesis. g. Thus, the final conclusion is that ... O The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean weight loss on the exercise program is different than the population mean weight loss on the diet. O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the mean weight loss for the 44 participants on the exercise program is different than the mean weight loss for the 57 participants on the diet. O The results are statistically insignificant at a = 0.05, so there is statistically significant evidence to conclude that the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet. O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean weight loss on the exercise program is different than the population mean weight loss on the diet. h. Interpret the p-value in the context of the study. Olf the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 44 and 57 participants on the exercise program and on the diet are observed then there would be a 18.44% chance that the mean weight loss for the 44 participants on the exercise program would differ by at least 2 pounds compared to the mean weight loss for the 57 participants on the diet. O There is a 18.44% chance of a Type I error. O There is a 18.44% chance that the mean weight loss for the 44 participants on the exercise aregram differe bu sht less for t

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Is a weight loss program based on exercise just as effective as a program based on diet? The 44 overweight
people put on a strict one year exercise program lost an average of 22 pounds with a standard deviation of
6 pounds. The 57 overweight people put on a strict one year diet lost an average of 20 pounds with a
standard deviation of 9 pounds. What can be concluded at the a =
0.05 level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho:
Select an answer ♥
Select an answer ♥
Select an answer v (please enter a decimal)
H1:
Select an answer v
Select an answer ♥
Select an answer v (Please enter a decimal)
c. The test statistic ? v =
(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is ? v a
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusion is that ...
The results are statistically insignificant at a = 0.05, so there is insufficient evidence to
conclude that the population mean weight loss on the exercise program is different than the
population mean weight loss on the diet.
O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude
that the mean weight loss for the 44 participants on the exercise program is different than the
mean weight loss for the 57 participants on the diet.
The results are statistically insignificant at a = 0.05, so there is statistically significant
evidence to conclude that the population mean weight loss on the exercise program is equal to
the population mean weight loss on the diet.
%3D
The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude
that the population mean weight loss on the exercise program is different than the population
mean weight loss on the diet.
%3D
h. Interpret the p-value in the context of the study.
O If the population mean weight loss on the exercise program is equal to the population mean
weight loss on the diet and if another 44 and 57 participants on the exercise program and on
the diet are observed then there would be a 18.44% chance that the mean weight loss for the
44 participants on the exercise program would differ by at least 2 pounds compared to the
mean weight loss for the 57 participants on the diet.
There is a 18.44% chance of a Type I error.
O There is a 18.44% chance that the mean weight loss for the 44 participants on the exercise
program differs by at least 2 pounds compared to the mean weight loss for the 57 participants
Transcribed Image Text:Is a weight loss program based on exercise just as effective as a program based on diet? The 44 overweight people put on a strict one year exercise program lost an average of 22 pounds with a standard deviation of 6 pounds. The 57 overweight people put on a strict one year diet lost an average of 20 pounds with a standard deviation of 9 pounds. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer ♥ Select an answer ♥ Select an answer v (please enter a decimal) H1: Select an answer v Select an answer ♥ Select an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean weight loss on the exercise program is different than the population mean weight loss on the diet. O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the mean weight loss for the 44 participants on the exercise program is different than the mean weight loss for the 57 participants on the diet. The results are statistically insignificant at a = 0.05, so there is statistically significant evidence to conclude that the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet. %3D The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean weight loss on the exercise program is different than the population mean weight loss on the diet. %3D h. Interpret the p-value in the context of the study. O If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 44 and 57 participants on the exercise program and on the diet are observed then there would be a 18.44% chance that the mean weight loss for the 44 participants on the exercise program would differ by at least 2 pounds compared to the mean weight loss for the 57 participants on the diet. There is a 18.44% chance of a Type I error. O There is a 18.44% chance that the mean weight loss for the 44 participants on the exercise program differs by at least 2 pounds compared to the mean weight loss for the 57 participants
weight
h. Interpret the p-value in the context of the study.
O If the population mean weight loss on the exercise program is equal to the population mean
weight loss on the diet and if another 44 and 57 participants on the exercise program and on
the diet are observed then there would be a 18.44% chance that the mean weight loss for the
44 participants on the exercise program would differ by at least 2 pounds compared to the
mean weight loss for the 57 participants on the diet.
There is a 18.44% chance of a Type I error.
O There is a 18.44% chance that the mean weight loss for the 44 participants on the exercise
program differs by at least 2 pounds compared to the mean weight loss for the 57 participants
on the diet.
O If the sample mean weight loss for the 44 participants on the exercise program is the same as
the sample mean weight loss for the 57 participants on the diet and if another 44 participants
on the exercise program and 57 participants on the diet are weighed then there would be a
18.44% chance of concluding that the mean weight loss for the 44 participants on the exercise
program differs by at least 2 pounds compared to the mean weight loss for the 57 participants
on the diet
i. Interpret the level of significance in the context of the study.
O There is a 5% chance that you are such a beautiful person that you never have to worry about
your weight.
There is a 5% chance that there is a difference in the population mean weight loss between
those on the exercise program and those on the diet.
O If the population mean weight loss on the exercise program is equal to the population mean
weight loss on the diet and if another 44 and 57 participants on the exercise program and on
the diet are observed then there would be a 5% chance that we would end up falsely
concluding that the sample mean weight loss for these 44 and 57 participants differ from each
other.
O If the population mean weight loss on the exercise program is equal to the population mean
weight loss on the diet and if another 44 and 57 participants on the exercise program and on
the diet are observed then there would be a 5% chance that we would end up falsely
concluding that the population mean weight loss on the exercise program is different than the
population mean weight loss on the diet
Transcribed Image Text:weight h. Interpret the p-value in the context of the study. O If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 44 and 57 participants on the exercise program and on the diet are observed then there would be a 18.44% chance that the mean weight loss for the 44 participants on the exercise program would differ by at least 2 pounds compared to the mean weight loss for the 57 participants on the diet. There is a 18.44% chance of a Type I error. O There is a 18.44% chance that the mean weight loss for the 44 participants on the exercise program differs by at least 2 pounds compared to the mean weight loss for the 57 participants on the diet. O If the sample mean weight loss for the 44 participants on the exercise program is the same as the sample mean weight loss for the 57 participants on the diet and if another 44 participants on the exercise program and 57 participants on the diet are weighed then there would be a 18.44% chance of concluding that the mean weight loss for the 44 participants on the exercise program differs by at least 2 pounds compared to the mean weight loss for the 57 participants on the diet i. Interpret the level of significance in the context of the study. O There is a 5% chance that you are such a beautiful person that you never have to worry about your weight. There is a 5% chance that there is a difference in the population mean weight loss between those on the exercise program and those on the diet. O If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 44 and 57 participants on the exercise program and on the diet are observed then there would be a 5% chance that we would end up falsely concluding that the sample mean weight loss for these 44 and 57 participants differ from each other. O If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 44 and 57 participants on the exercise program and on the diet are observed then there would be a 5% chance that we would end up falsely concluding that the population mean weight loss on the exercise program is different than the population mean weight loss on the diet
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