he Sydney Airport Commission set a performance target of 18 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?

Some measure of variability is needed.

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To determine the sample mean time taken by passengers to claim their luggage, we need more information about the study. The provided p-value of 0.5 is unlikely to correspond to the sample mean time.

A p-value is a measure of the strength of the evidence against a null hypothesis in a statistical hypothesis test. It typically ranges from 0 to 1, where a smaller p-value indicates stronger evidence against the null hypothesis.

In this case, if the p-value is given as 0.5, it suggests that the study did not find strong evidence against the null hypothesis. However, the p-value alone does not provide information about the sample mean time taken by passengers.

To find the sample mean time, we would need additional information, such as the test statistic or the critical value associated with the test. These components are essential for calculating the sample mean time.

If you have access to the test statistic or critical value, please provide that information, and I will be happy to guide you through the steps to calculate the sample mean time taken by passengers to claim their luggage.