1. Bags of a particular brand of dog food are filled to a mean weight of5 poundswith a standard deviation of0.25 pounds. Label the normal curve below to show the complete distribution of fill weights out tofourstandard deviations in each direction of the mean.
What is the z-score of a bag of dog food that weighs 30.15 pounds? Show your calculations. Round to one decimal place.
a2.Write a sentence that explains the meaning of the percentile in the context of bags of dog food.
a3.What is the z-score of a bag of dog food that weighs 30.4 pounds? Show your calculations. Round to one decimal place.
a4. What percentage of dog food bags weigh more than 30.4 pounds? Do not round. (Hint: This answer does not come directly from the z-table. An extra calculation is required!)
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