approximate 0.954 confidence interval for u, the mean of the gamma distribution. Hint: Use the random variable (X- 43)/(432/25)/2 = 5X/23-10.

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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[4.2.14. Let X denote the mean of a random sample of size 25 from a gamma-type
distribution with a = 4 and B > 0. Use the Central Limit Theorem to find an
approximate 0.954 confidence interval for u, the mean of the gamma distribution.
Hint: Use the random variable (X- 43)/(432/25)/2 = 5X/23- 10.
%3D
Transcribed Image Text:[4.2.14. Let X denote the mean of a random sample of size 25 from a gamma-type distribution with a = 4 and B > 0. Use the Central Limit Theorem to find an approximate 0.954 confidence interval for u, the mean of the gamma distribution. Hint: Use the random variable (X- 43)/(432/25)/2 = 5X/23- 10. %3D
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