# Question

The standard deviation for a population is σ = 6.30. A random sample selected from this population gave a mean equal to 81.90. The population is known to be normally distributed.
a. Make a 99% confidence interval for µ assuming n = 16.
b. Construct a 99% confidence interval for µ assuming n = 20.
c. Determine a 99% confidence interval for µ assuming n = 25.
d. Does the width of the confidence intervals constructed in parts a through c decrease as the sample size increases? Explain.

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