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20 Dec 2021
Given information
The airline says that its flights are always on schedule, with a maximum delay of 15 minutes. The average delay, it maintains, is so consistent that the variance is less than 150 minutes. A unhappy traveller calculates the delays for his following 25 flights, doubting the claim's consistency. With a standard deviation of 15 minutes, the average delay for those 25 flights is 22 minutes.
Step-by-step explanation
Step 1.
This is a single variance test because the argument is that a single line creates less variation. The population variance, , or population standard deviation, , is the parameter.
Random Variable: The random variable is the sample standard deviation, . For the waiting times, let = standard deviation.
This is a left-tailed test, as the word "less" indicates.
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