Problem 2: A Richmond, Va company plans to start selling exercise clothing and equipment on the internet. To design the clothing, company personnel collected data on the physical characteristics of its current customers. A sample of 45 male runners revealed that their mean weight was 61.79 kilograms. Assume that the population standard deviation is σ = 4.5. A) Calculate a 95% confidence interval for the true mean weight of all such runners who are customers of the company. B) Interpret this confidence interval …what does it mean? C) Based on this confidence interval, would a test of H0: µ = 61.3 kg HA: µ ≠ 61.3 kg reject H0 at the 5% significance level? Why or why not?
Problem 2: A Richmond, Va company plans to start selling exercise clothing and equipment on the internet. To design the clothing, company personnel collected data on the physical characteristics of its current customers. A sample of 45 male runners revealed that their mean weight was 61.79 kilograms. Assume that the population standard deviation is σ = 4.5. A) Calculate a 95% confidence interval for the true mean weight of all such runners who are customers of the company. B) Interpret this confidence interval …what does it mean? C) Based on this confidence interval, would a test of H0: µ = 61.3 kg HA: µ ≠ 61.3 kg reject H0 at the 5% significance level? Why or why not?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Problem 2:
A Richmond, Va company plans to start selling exercise clothing and equipment on the internet. To design the clothing, company personnel collected data on the physical characteristics of its current customers. A sample of 45 male runners revealed that their mean weight was 61.79 kilograms. Assume that the population standard deviation is σ = 4.5.
- A) Calculate a 95% confidence interval for the true mean weight of all such runners who are
customers of the company.
- B) Interpret this confidence interval …what does it mean?
- C) Based on this confidence interval, would a test of
H0: µ = 61.3 kg
HA: µ ≠ 61.3 kg
reject H0 at the 5% significance level? Why or why not?
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