8.21 A soft-drink machine is regulated so that the amount of drink dispensed averages 240 milliliters with a standard deviation of 15 milliliters. Periodically, the machine is checked by taking a sample of 40 drinks and computing the average content. If the mean of the 40 drinks is a value within the interval x ± 208, the machine is thought to be operating satisfactorily; oth- erwise, adjustments are made. In Section 8.3, the com- pany official found the mean of 40 drinks to be = 236 milliliters and concluded that the machine needed no adjustment. Was this a reasonable decision?

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8.21 A soft-drink machine is regulated so that the
amount of drink dispensed averages 240 milliliters with
a standard deviation of 15 milliliters. Periodically, the
machine is checked by taking a sample of 40 drinks
and computing the average content. If the mean of the
40 drinks is a value within the interval x ± 208, the
machine is thought to be operating satisfactorily; oth-
erwise, adjustments are made. In Section 8.3, the com-
pany official found the mean of 40 drinks to be = 236
milliliters and concluded that the machine needed no
adjustment. Was this a reasonable decision?
Transcribed Image Text:8.21 A soft-drink machine is regulated so that the amount of drink dispensed averages 240 milliliters with a standard deviation of 15 milliliters. Periodically, the machine is checked by taking a sample of 40 drinks and computing the average content. If the mean of the 40 drinks is a value within the interval x ± 208, the machine is thought to be operating satisfactorily; oth- erwise, adjustments are made. In Section 8.3, the com- pany official found the mean of 40 drinks to be = 236 milliliters and concluded that the machine needed no adjustment. Was this a reasonable decision?
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