Question

Sylvia, a manager of a pizzeria wants to optimize the average delivery time of orders from the current 35 minutes. To do this, Sylvia overhauls the delivery ordering system and rejigs the delivery routes. After all the changes are implemented, she takes a random sample of 30 delivery orders and yields an average delivery time of 32 minutes. The population standard deviation is known to be 6 minutes. Were these changes successful in reducing the average delivery time of pizza? Conduct a hypothesis test at a0.05. Comment on the validity of your results. A metal sheet worker produces sheets that are supposed to be 216 mm wide. We know that the actual width is normally distributed with a known standard deviation of 0.02 mm. After taking a random sample of 25 of this worker's sheets, we find the sample mean width to be 216.007 mm. Does this sample provide evidence that the mean metal sheet width has drifted from the target width of 216 mm? Conduct an appropriate test at the 5% level of significance. Comment on the validity of your results.

Answer 1

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