A random sample of 225 measurements is selected from a population, and the sample mean and standard deviation are 32 5 and s 30 0, respectively a Use a 99 confidence interval to estimate the mean of the population, b How large a sample would be needed to estimate to within 5 with 99 confidence c What is meant by the phrase 99 confidence as it is used in this exercise d Find a 99 confidence interval for 2

Question: A random sample of 225 measurements is selected from a population, and the sample mean and standard deviation are = 32.5 and s = 30.0,

A random sample of 225 measurements is selected from a population, and the sample mean and standard deviation are = 32.5 and s = 30.0, respectively.
a. Use a 99% confidence interval to estimate the mean of the population, µ.
b. How large a sample would be needed to estimate µ to within .5 with 99% confidence?
c. What is meant by the phrase “99% confidence” as it is used in this exercise?
d. Find a 99% confidence interval for σ2.

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