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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
10-9. A pet food producer manufactures and then fills
25-pound bags of dog food on two different production lines located in separate cities. In an effort to determine whether differences exist between the average fill rates for the two lines, a random sample of 19 bags from line 1 and a random sample of 23 bags from line
2 were recently selected. Each bag’s weight was measured and the following summary measures from the samples are reported:
s = 3.6Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â s = 5.0
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a.    Based on these data, determine the 95% confidence interval to estimate the difference in average life of the batteries for the two companies. Do these data indicate that one company’s batteries will outlast the other company’s batteries on average? Explain.
b.   Suppose the manufacturers of each of these batteries wished to warranty their batteries. One small company to which they both ship batteries receives shipments of 200 batteries weekly. If the average length of time to failure of the batteries is less than a specified number, the manufacturer will refund the company’s purchase price of that set of batteries. What value should each manufacturer set if they wish to refund money on at most 5% of the shipments?
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