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The sample mean and standard deviation are x 175 and s30

Part a) The mean of the sample was calculated as 500. The sample of 25 observations was randomly drawn from a population whose standard deviation is 15. Estimate the population means with 99% confidence.

Part b) A random sample of 5 observations was drawn from a normal population. The sample mean and standard deviation are X =175 and s=30. Estimate the population mean with 90% confidence.

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