The 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?
0.6
To determine the sample mean time taken by passengers to claim their luggage, we need more information than just the p-value. The p-value is a measure of the strength of evidence against the null hypothesis, but it does not directly provide information about the sample mean.
To find the sample mean, we would need the test statistic (t-value or z-value) and the standard deviation of the sample.
In hypothesis testing, we compare the observed test statistic (calculated from the sample data) with the critical value(s) to determine if we can reject the null hypothesis. The p-value is a measure of how extreme the observed test statistic is, given the null hypothesis is true.
However, without any further information, it is not possible to determine the sample mean time taken by passengers to claim their luggage.