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)

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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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