In any canning process, a manufacturer will lose money if the cans contain eithe

Question

In any canning process, a manufacturer will lose money if the cans contain either significantly more or significantly less than is claimed on tha label. Accordingly, canners pay close attention to the amount of their product being dispensed by the can-filling machines. Consider a company that produces a fast-drying rubber cement in 32-ounce aluminum cans. A quality control inspector is interested in testing whether the st. dev of the amount of rubber cement dispensed into the cans is more than 3. If so, the dispensing machine is in need of adjustment. Since inspection of the canning process requires that the dispensing machines be shut down, and shut-downs for any lengthy period of time cost the company thousands of dollars in lost revenue, the inspector is able to obtain a random sample of only ten cans for testing. After measuring the weights of their contents, the inspector computes the following summary statistics: x- = 31.55 ounces s = 48 ounce Does the sample evidence indicate that the dispensing machines are in need of adjustment? Test at significance level alpha =.05.

Explanation / Answer

t = 31.55 - 32 / 0.48 / srqt (8

t = -2.65

for alpha = 0.05 df = 7 critical value : -1.895

since t < critical vlaue we reject Ho

there is evidence that indicate that the dispensing machines are in need of adjunstment

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