1. Bags of a particular brand of dog food are filled to a mean weight of 30.5 pounds with a standard deviation of 0.25 pounds. Label the normal curve below to show the complete distribution of fill weights out to four standard deviations in each direction of the mean. (0.5 pt) What is the z-score of a bag of dog food that weighs 30.15 pounds? Show your calculations. Round to one decimal place. A-i A-ii What percentile is associated with the z-score in 1A-i? Do not round. A-ii Write a sentence that explains the meaning of the percentile in the context of bags of dog food. What is the z-score of a bag of dog food that weighs 30.4 pounds? Show your calculations. Round to one decimal place. B-i B-li What percentage of dog food bags weigh less than 30.4 pounds? Do not round. 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 requiredl) B-i What percentage of dog food bags weight between 30.15 and 30,4 pounds? Do nat round.

A First Course in Probability (10th Edition)
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1. Bags of a particular brand of dog food are filled to a mean weight of 30.5 pounds with a standard deviation
of 0.25 pounds. Label the normal curve below to show the complete distribution of fill weights out to four
standard deviations in each direction of the mean. (0.5 pt)
What is the z-score of a bag of dog food that weighs 30.15 pounds? Show your calculations. Round to one
decimal place.
A-i
A-ii
What percentile is associated with the z-score in 1A-i? Do not round.
A-i
Write a sentence that explains the meaning of the percentile in the context of bags of dog food.
What is the z-score of a bag of dog food that weighs 30.4 pounds? Show your calculations. Round to one
decimal place.
B-i
B-1i
What percentage of dog food bags weigh less than 30.4 pounds? Do not round.
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)
B-ll
What percentage of dog food bags weight between 30.15 and 30,4 pounds? Do not round.
Transcribed Image Text:1. Bags of a particular brand of dog food are filled to a mean weight of 30.5 pounds with a standard deviation of 0.25 pounds. Label the normal curve below to show the complete distribution of fill weights out to four standard deviations in each direction of the mean. (0.5 pt) What is the z-score of a bag of dog food that weighs 30.15 pounds? Show your calculations. Round to one decimal place. A-i A-ii What percentile is associated with the z-score in 1A-i? Do not round. A-i Write a sentence that explains the meaning of the percentile in the context of bags of dog food. What is the z-score of a bag of dog food that weighs 30.4 pounds? Show your calculations. Round to one decimal place. B-i B-1i What percentage of dog food bags weigh less than 30.4 pounds? Do not round. 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) B-ll What percentage of dog food bags weight between 30.15 and 30,4 pounds? Do not round.
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