The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if its 4954 households discard waste with weights having a mean that exceeds 26.56 lb/wk. For many different weeks, it is found that the samples of 4954 households have weights that are normally distributed with a mean of 26.13 lb and a standard deviation of 13.08 lb. What is the proportion of weeks in which the waste disposal facility is overloaded? P(M > 26.56) = 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.