A random sample of 25 observations was selected from a normally distributed population. The average in the sample was 84.6 with a variance of 400.
1. A random sample of 25 observations was selected from a normally distributed population. The average in the sample was 84.6 with a variance of 400.
a. Construct a 90% confidence interval for μ.
b. Construct a 99% confidence interval for μ.
c. Discuss why the 90% 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.
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A random sample of 25 observations was selected from a normally distributed population. The average in the sample was 84.6 with a variance of 400.
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