A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimate μ. (Round your answers to four decimal places.) (a) What is the probability that the sample mean will be within ±5 of the population mean? (b) What is the probability that the sample mean will be within ±10 of the population mean?
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Step 1
The standard error of the mean is the standard deviation divided by the square root of the sample size. In this case, the standard error of the mean is 50/√100 = 5. (a) We want to find the probability that the sample mean is within ±5 of the population mean. This Show more…
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