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The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 5076 households discard waste with weights having a mean that exceeds 26.49 lb/wk. For many different weeks, it is found that the samples of 5076 households have weights that are normally distributed with a mean of 26.22 lb and a standard deviation of 12.65 lb.
What is the proportion of weeks in which the waste disposal facility is overloaded?
P(M > 26.49) =
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Is this an acceptable level, or should action be taken to correct a problem of an overloaded system?
- No, this is not an acceptable level because it is not unusual for the system to be overloaded.
- Yes, this is an acceptable level because it is unusual for the system to be overloaded.
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