A random sample of 25 observations is used to estimate the population variance. The sample mean and

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A random sample of 25 observations is used to estimate the population variance. The sample mean and sample standard deviation are calculated as 52.5 and 3.8, respectively. Assume that the population is normally distributed. P-399

a. Construct a 90% interval estimate of the population variance.

b. Construct a 99% interval estimate of the population variance.

c. Use your answers to discuss the impact of the confidence level on the width of the interval.

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