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.
What will be an ideal response?
?
| a. | 83.41 to 96.59 (rounded) |
| b. | 82.65 to 97.35 (rounded) |
| c. | As the level of confidence increases, the confidence interval gets wider. |
| d. | Get narrower because the margin of error decreased. |
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