[See Solution] A random sample of 25 observations was taken from a normally distributed population. The average in the sample was 84.6 with a variance of 400.
Question: A random sample of 25 observations was taken from a normally distributed population. The average in the sample was 84.6 with a variance of 400.
- Construct a 90% confidence interval for \(\mu \).
- Construct a 99% confidence interval for \(\mu \).
- Discuss why the 90% and 99% confidence intervals are different.
- What would you expect to happen to the confidence interval in part A if the sample size was increased?
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