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The Sydney Airport Commission set a performance target of 24 minutes for the time taken for passengers to claim their luggage at domestic terminals. In order to monitor performance, a study was conducted by taking a random sample of 200 passengers disembarking from Sydney airport. If the study found a p-value of 0.5 what was the sample mean time taken by passengers to claim their luggage? (Your answer should be correct to one decimal place.)

Question

The Sydney Airport Commission set a performance target of 24 minutes for the time taken for passengers to claim their luggage at domestic terminals. In order to monitor performance, a study was conducted by taking a random sample of 200 passengers disembarking from Sydney airport. If the study found a p-value of 0.5 what was the sample mean time taken by passengers to claim their luggage? (Your answer should be correct to one decimal place.)

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Solution

The information provided is not sufficient to calculate the sample mean time taken by passengers to claim their luggage. The p-value tells us the probability of obtaining the observed data (or data more extreme) if the null hypothesis is true, but it does not provide direct information about the sample mean. We would need additional information, such as the standard deviation or the test statistic, to calculate the sample mean.

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