# Question: Consider a normal population with an unknown population standard deviation

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

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

b. Compute the 95% confidence interval for µ if 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.

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

b. Compute the 95% confidence interval for µ if 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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