A pizza restaurant manager claims that the average home delivery time for their

Question

A pizza restaurant manager claims that the average home delivery time for their pizza is no more than 20 minutes. A random sample of 49 home delivery pizzas was collected. The sample mean was found to be 21.25 minutes and the standard deviation was found to be 4.3 minutes. Is there evidence to reject the manager's claim at alpha =.01? Perform an appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to obtain the results.

Explanation / Answer

TEST: Ho: µ = 20 Ha: µ > 20 n=49, x-bar = 21.25, s= 4.3, alpha= 0.01 Statistic = t = (21.25-20)/(4.3/v49)=2.035 Critical value = t(0.01,48)=2.407 Critical region: {t/t>2.407} Decision: we don't reject Ho because the statistic value is less than 2.407

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