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(4) Are the population mean and variance random variables? Why? Are the sample mean and variance random variables? Why?

(4) Are the population mean and variance random variables? Why? Are the sample mean and variance random variables? Why?

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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Hello. I need solutions of question 4 and 5.

Thanks in advance dor your help.

Suppose that the distribution of height of female students in University is normally distributed with mean =1.6 meters and o = 0.02 meters. A sample of 100 female students drawn randomly from all the female students in University had an average height of 1.61 meters. (1) In this case, what are the population and sample, respectively? (2) Give the point estimate of the population mean. (3) Establish a 95 percent confidence interval for the population mean height (= 1.6) (4) Are the population mean and variance random variables? Why? Are the sample mean and variance random variables? Why? 5. Give the definition of t-, F-, and x²-distribution.
Transcribed Image Text:Suppose that the distribution of height of female students in University is normally distributed with mean =1.6 meters and o = 0.02 meters. A sample of 100 female students drawn randomly from all the female students in University had an average height of 1.61 meters. (1) In this case, what are the population and sample, respectively? (2) Give the point estimate of the population mean. (3) Establish a 95 percent confidence interval for the population mean height (= 1.6) (4) Are the population mean and variance random variables? Why? Are the sample mean and variance random variables? Why? 5. Give the definition of t-, F-, and x²-distribution.
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