TABLE 8-3 A quality control engineer is interested in the mean length of sheet i

Question

TABLE 8-3 A quality control engineer is interested in the mean length of sheet insulation being cut automatically by The desired of the is 12 feet. It is known that the length of deviation in the cutting length is o.15 sample sheets yields a the mean length cut 12.14 feet. This sample will be used to obtain 99% confidence interval for by machine. a 8. Referring to Table 8-3, the critical value to use in obtaining the confidence interval is ca we 12 2.01 NSWER: PE: FI DIFFICULTY: Easy YWORDS: confidence interval, mean, standardized normal distribution eferring to Table 8-3, the confidence interval goes from 17O9 to

Explanation / Answer

Mean is 12.14 and SD is 0.15

We are looking for 99% confidence Therefore the critical value is 2.58

Also, the standard error is 0.15/sqrt(70)

Thus, the CI is correct I.e 12.09 to 12.19

Also, it is given that 0.03=2.58*0.15/sqrt(n)

Therefore n is 167

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