Question: You collected data from a normally distributed random process. You have a sample mean of 12 and a sample standard deviation of 3.5 using

You collected data from a normally distributed random process. You have a sample mean of 12 and a sample standard deviation of 3.5 using 25 measurements. Define a confidence interval that you are 99.9% sure will encompass the next sample mean. Do not use an equation for calculation a prediction interval for the next sample; the interval around the mean should be smaller than the sample standard deviation!
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