watch a sample of customers come in and eat and record the wait time for 40 randomly selected patients

Your local diner says that the average wait time for service is 10 minutes. You and your friends think the diner is lying, since their service is always slow. You decide to watch a sample of customers come in and eat and record the wait time for 40 randomly selected patients. The average wait time for these customers is 15 minutes with a standard deviation of 3 minutes. Do you have enough evidence to support your hypothesis that the average diner wait is more than 10 minutes? Test at a .05 level of significance.

2.)You and everybody in your neighborhood decide to go green and all purchase hybrid cars. The car salesman guaranteed you all that your car has a mean gas mileage of at least 55 miles per gallon. Once all 25 people in your neighborhood drive their cars for a few weeks, you find that the average gas mileage is only 45 miles per gallon, with a standard deviation of 3.5 miles per gallon. Did the car salesman tell you the truth? Test at a .10 level of significance.


 

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