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Also if the standard deviation of all pumps sigma is

If the standard deviation of all pumps σ is also unknown, compute a 95% confidence interval for μ if the average for randomly selected 20 heat pumps is 4.85 with s = 1.2.

Also, if the standard deviation of all pumps σ is unknown, is there an easier formula to estimate the sample size to control the width of the confidence interval? Please explain it.

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Basic Statistics: Also if the standard deviation of all pumps sigma is

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