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Consider a normal population with an unknown population standard deviation. A random sample results in x = 48.68 and s2 = 33.64.

(a) Compute a 95% confidence interval for μ if x and s2 were obtained from a sample of 16 observations.

(b) Compute a 95% confidence interval for μ if x and s2 were obtained from a sample of 25 observations.

(c) Use your answers to discuss the impact of the sample size on the width of the interval.

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