# statistics

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Consider a 95% confidence interval for a population mean constructed from a random sample of 250 observations taken from a Normal population. Sigma is known to be 14. If we were to construct another 95% confidence interval, this time using 1,000 observations, how would the length of this interval compare to the length of the original interval?

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the sample of selected men have the average weight of 180lb with the standard deviation of 30lb. for 0.95 find the confidence interval for the mean of the whole population

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