Mark Jones of US Survey Bureau is trying to determine the average number of unemployment claims filed daily. Mark takes a sample of 36 days and determines that the average number of unemployment claims filed daily is 24,000 with a standard deviation of 9,000. a. Construct a 95% confidence interval for the average number of unemployment claims filed daily. b. Mark believes there is a 95% chance that the actual population mean falls in the interval calculated in part a. Do you agree with him? c. Mark decides that the confidence interval calculated in part a does not have enough precision and confidence. Instead, Mark wants a confidence interval for the average number of unemployment claims filed daily to have its width be no more than +/- 2000 claims with a 99% confidence level. What sample size would be necessaryto satisfy these criteria?
Mark Jones of US Survey Bureau is trying to determine the average number of unemployment claims filed daily. Mark takes a sample of 36 days and determines that the average number of unemployment claims filed daily is 24,000 with a standard deviation of 9,000.
a. Construct a 95% confidence interval for the average number of unemployment claims filed daily.
b. Mark believes there is a 95% chance that the actual population mean falls in the interval calculated in part a. Do you agree with him?
c. Mark decides that the confidence interval calculated in part a does not have enough precision and confidence. Instead, Mark wants a confidence interval for the average number of unemployment claims filed daily to have its width be no more than +/- 2000 claims with a 99% confidence level. What
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