The standard deviation for a population is 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 assuming n 16 b Construct a 99 confidence interval for assuming n 20 c Determine a 99 confidence interval for assuming n 25 d Does the width of the confidence intervals constructed in parts a through c decrease as the sample size increases Explain

Question: The standard deviation for a population is = 6.30. A random sample selected from this population gave a mean equal to 81.90. The population

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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