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Inference of the population mean with small samples Show development for the solution In an clinic, a certain group of people is on a program to lose weight and improve their health. At the end of the program and as a result of a random sample of 10 patients, it was obtained that the average weight loss was 15.9 with a standard deviation of 5.3. a) Construct a 95% confidence interval for the population mean of the weight loss program. b) If the clinic expects people to lose an average of 14 kilograms with the program, do you think the program is adequate? justifies c) What sample size would you recommend the clinic use if they want to have a confidence level of 99% and a margin of error of 2 kilograms?

Inference of the population mean with small samples Show development for the solution In an clinic, a certain group of people is on a program to lose weight and improve their health. At the end of the program and as a result of a random sample of 10 patients, it was obtained that the average weight loss was 15.9 with a standard deviation of 5.3. a) Construct a 95% confidence interval for the population mean of the weight loss program. b) If the clinic expects people to lose an average of 14 kilograms with the program, do you think the program is adequate? justifies c) What sample size would you recommend the clinic use if they want to have a confidence level of 99% and a margin of error of 2 kilograms?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Inference of the population mean with small samples

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In an clinic, a certain group of people is on a program to lose weight and improve their health. At the end of the program and as a result of a random sample of 10 patients, it was obtained that the average weight loss was 15.9 with a standard deviation of 5.3.

a) Construct a 95% confidence interval for the population mean of the weight loss program.

b) If the clinic expects people to lose an average of 14 kilograms with the program, do you think the program is adequate? justifies

c) What sample size would you recommend the clinic use if they want to have a confidence level of 99% and a margin of error of 2 kilograms?

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