Jenny wants to compare the amount of weight people lose at her gym using two popular, non-overlapping weight-loss programs, Shred It and Burn It. She randomly samples people who use each program and tracks their weight loss. Here is a summary of the results: Shred it Burn it Mean 11 kg 7 kg Standard deviation 3.5 kg 5.7 kg Number of people 35 45 1) From the above summary statistics, Jenny wants to test whether people using program “Shred it” have more weight loss averagely than the people who are using program “Burn it” by 2 kg. Conduct the hypothesis test at α=0.05. By technology, df=74. 2) Conduct a 95% confidence interval for the mean difference of weight loss using the two programs. Provide complete interpretation.
Jenny wants to compare the amount of weight people lose at her gym using two popular, non-overlapping weight-loss programs, Shred It and Burn It. She randomly samples people who use each program and tracks their weight loss. Here is a summary of the results: Shred it Burn it Mean 11 kg 7 kg Standard deviation 3.5 kg 5.7 kg Number of people 35 45 1) From the above summary statistics, Jenny wants to test whether people using program “Shred it” have more weight loss averagely than the people who are using program “Burn it” by 2 kg. Conduct the hypothesis test at α=0.05. By technology, df=74. 2) Conduct a 95% confidence interval for the mean difference of weight loss using the two programs. Provide complete interpretation.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Jenny wants to compare the amount of weight people lose at her gym using two popular, non-overlapping weight-loss programs, Shred It and Burn It. She randomly samples people who use each program and tracks their weight loss. Here is a summary of the results:
Shred it Burn it
Mean 11 kg 7 kg
Standard deviation 3.5 kg 5.7 kg
Number of people 35 45
1) From the above summary statistics, Jenny wants to test whether people using program “Shred it” have more weight loss averagely than the people who are using program “Burn it” by 2 kg. Conduct the hypothesis test at α=0.05. By technology, df=74.
2) Conduct a 95% confidence interval for the mean difference of weight loss using the two programs. Provide complete interpretation.
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