MRS. FOX
Math Lab: Quality Control61245756350Equipment:CalculatorPaper00Equipment:CalculatorPaperProblem Statement:Suppose you are a quality control engineer working at a factory that produces construction materials. Each lot of drywall screws contains four hundred 10-pound boxes of screws. Your job is to ensure that at least 95% of these boxes are within 1.75 ounces of 10 pounds. To accomplish this, a random sample of 20 boxes of screws is selected from each lot and each box is weighed. If 95% of the sample boxes are within 1.75 ounces of 10 pounds, the lot is approved for shipment. Otherwise, the lot is rejected. In this activity, you will determine whether or not the lot should be approved for shipment.Procedure:Convert 10 pounds to ounces.Write an inequality to represent the acceptable amount of variation in the weight of each box.Solve the inequality and graph the solution on a number line.Give an example of a box weight that would be acceptable. Give an example of a box weight that would not be acceptable.Press MATH>PROB>6randNorm( to access the function on your calculator to generate a random sample. Input 160 for ? and .875 for σ then scroll down to paste and hit enter to use randNorm(160,.875) twenty times to get your twenty random box weights, once you do it once you can hit enter again and it will do it again without doing all the steps again. Record them in the table and state whether or not they are within specs.Sample Box NumberWeight (oz)Within Specs (Yes/No)1234567891011121314151617181920Will you approve this lot for shipment? Why or why not?Compare your results with the results of your classmates. How many lots of screws were approved for shipment?How many lots were rejected?Is there anything you found surprising about the results? Explain. ................
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