The standard deviation for a population is 7 14 A random sample selected from this population gave a mean equal to 48 52 a Make a 95 confidence interval for assuming n 196 b Construct a 95 confidence interval for assuming n 100 c Determine a 95 confidence interval for assuming n 49 d Does the width of the confidence intervals constructed in parts a through c increase as the sample size decreases Explain

Question: The standard deviation for a population is = 7.14. A random sample selected from this population gave a mean equal to 48.52. a. Make

The standard deviation for a population is σ = 7.14. A random sample selected from this population gave a mean equal to 48.52.
a. Make a 95% confidence interval for µ assuming n = 196.
b. Construct a 95% confidence interval for µ assuming n = 100.
c. Determine a 95% confidence interval for µ assuming n = 49.
d. Does the width of the confidence intervals constructed in parts a through c increase as the sample size decreases? Explain.

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