Question

An airline is analyzing the punctuality of its flights. Over a month, they record the arrival times of 80 flights on a specific route. The flights arrive, on average, 10 minutes late with a standard deviation of 12 minutes (negative values would indicate early arrivals). a) Construct a 99% confidence interval for the true mean arrival delay of flights on this route. b) To improve their punctuality statistics, the airline wants to estimate the mean arrival delay within ±3 minutes with 99% confidence. What is the minimum number of flights they should analyze in future studies?

          An airline is analyzing the punctuality of its flights. Over a month, they record the arrival times of 80 flights on a specific route. The flights arrive, on average, 10 minutes late with a standard deviation of 12 minutes (negative values would indicate early arrivals).

a) Construct a 99% confidence interval for the true mean arrival delay of flights on this route.

b) To improve their punctuality statistics, the airline wants to estimate the mean arrival delay within ±3 minutes with 99% confidence. What is the minimum number of flights they should analyze in future studies?

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Added by Lucy Y.

Introductory Statistics

Barbara Illowsky, Susan Dean 1st Edition

Chapter 11

Instant Answer

Solved by Expert Lucas Finney

11/18/2024

Step 1

- Sample size (\( n \)) = 80 flights - Sample mean (\( \bar{x} \)) = 10 minutes - Sample standard deviation (\( s \)) = 12 minutes - Confidence level = 99% Show more…

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An airline is analyzing the punctuality of its flights. Over a month, they record the arrival times of 80 flights on a specific route. The flights arrive, on average, 10 minutes late with a standard deviation of 12 minutes (negative values would indicate early arrivals). a) Construct a 99% confidence interval for the true mean arrival delay of flights on this route. b) To improve their punctuality statistics, the airline wants to estimate the mean arrival delay within ±3 minutes with 99% confidence. What is the minimum number of flights they should analyze in future studies?

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