A new diet is developed to help people lose weight. 50 people tried the diet and had an average weight loss of 8 pounds over 30 days with a standard deviation of 2 pounds. A control group of 100 people tried a standard diet of fruits and vegetables also had an average weight loss of 9 pounds with a standard deviation of 1.2 pounds. Using a 5% significance determine if the new diet is better than eating fruits and vegetables. Take as population 1 the group on the new diet. Give the hypotheses. Null: There is no difference in the average weight loss between the two diets. Alternative: The average weight loss on the new diet is more than the average weight loss on the fruit and vegetable diet. Null: There is no difference in the average weight loss between the two diets. Alternative: The average weight loss on the new diet is less than the average weight loss on the fruit and vegetable diet. Null: There is no difference in the average weight loss between the two diets. Alternative: The average weight loss on the new diet is not equal to the average weight loss on the fruit and vegetable diet. O No answer text provided.
A new diet is developed to help people lose weight. 50 people tried the diet and had an average weight loss of 8 pounds over 30 days with a standard deviation of 2 pounds. A control group of 100 people tried a standard diet of fruits and vegetables also had an average weight loss of 9 pounds with a standard deviation of 1.2 pounds. Using a 5% significance determine if the new diet is better than eating fruits and vegetables. Take as population 1 the group on the new diet. Give the hypotheses. Null: There is no difference in the average weight loss between the two diets. Alternative: The average weight loss on the new diet is more than the average weight loss on the fruit and vegetable diet. Null: There is no difference in the average weight loss between the two diets. Alternative: The average weight loss on the new diet is less than the average weight loss on the fruit and vegetable diet. Null: There is no difference in the average weight loss between the two diets. Alternative: The average weight loss on the new diet is not equal to the average weight loss on the fruit and vegetable diet. O No answer text provided.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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Question 8: give the conclusion

Transcribed Image Text:A new diet is developed to help people lose weight. 50 people tried the
diet and had an average weight loss of 8 pounds over 30 days with a
standard deviation of 2 pounds. A control group of 100 people tried a
standard diet of fruits and vegetables also had an average weight loss of 9
pounds with a standard deviation of 1.2 pounds. Using a 5% significance
determine if the new diet is better than eating fruits and vegetables. Take
as population 1 the group on the new diet.
Give the hypotheses.
Null: There is no difference in the average weight loss between the two diets.
Alternative: The average weight loss on the new diet is more than the average
weight loss on the fruit and vegetable diet.
Null: There is no difference in the average weight loss between the two diets.
Alternative: The average weight loss on the new diet is less than the average
weight loss on the fruit and vegetable diet.
Null: There is no difference in the average weight loss between the two diets.
Alternative: The average weight loss on the new diet is not equal to the average
weight loss on the fruit and vegetable diet.
O No answer text provided.

Transcribed Image Text:Give the conclusion.
Reject the null since the test statistic is in the rejection region.
Fail to reject the null since the test statistic is not in the rejection region.
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