A random sample of 53 observations was taken. The average in the sample was 90 with a variance of 400
a. Construct a 98% confidence interval for ?.
b. Construct a 99% confidence interval for ?.
c. Discuss why the 98% and 99% confidence intervals are different.
d. What would you expect to happen to the confidence interval in Part a if the sample size was increased? Be sure to explain your answer.
a. 83.41 to 96.59
b. 82.65 to 97.35
c. As the level of confidence increases, the confidence interval gets wider.
d. Decrease since the sampling error decreased.
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