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A sample of 16 observations is selected from a normal population for which the population standard deviation is 9. The sample mean is 50.
(a) Find a 95% confidence interval for population mean.
(b) Do you think that the width of 90% confidence interval will be wider than 95% confidence interval? Justify your answer.
(c) If we get another sample of 25 observations from this population, find the 95% confidence interval for population mean. What is the effect on the confidence interval when the sample size is increased from 16 to 25?
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