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The weight of a typical orange follows an approximatelyNormal distribution with mean 4.5 oz and a standard deviation of oz. The average weight of an

The weight of a typical orange follows an approximatelyNormal

distribution with mean 4.5 oz and a standard deviation of oz.

The average weight of an apple is 185 grams with a

standarddeviation of 13 grams, with an approximately

Normal distribution.

Question 1(0.5 points)

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Christopher has an apple that weighs 205 grams.

How many grams above average is Christopher's apple?

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Question 2(0.5 points)

How many standard deviations above average is Christopher's apple?

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Question 3(0.5 points)

What percent of apples weigh less than Christopher's?

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Question 4(0.5 points)

What percent of apples weigh more than Christopher's?

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Question 5(1 point)

David has an apple that is 1 standard deviation below average weight.

What is the weight of David's apple?

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Question 6(1 point)

What percent of apples weigh less than David's?

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Question 7(0.5 points)

What percent of apples weigh more than David's?

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Question 8(1 point)

What percent of apples fall between David's and Christopher's?

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Question 9(0.5 points)

Matt has an apple that is in the top 4% of all apples by weight.

Is Matt's apple above or below average weight?

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Question 10(0.5 points)

What percent of apples weigh less than Matt's?

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Question 11(1 point)

What is the standardized value of Matt's apple?

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Question 12(1 point)

What is the weight of Matt's apple?

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Question 13(1 point)

Peter has an apple sauce-making machine that can only use apples within the middle 95% of weights.

What apple weights can Peter's machine handle?

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Question 14(1 point)

Jodie likes oranges better than apples. Her orange juice machine can only use oranges that fall within the middle 95% of weights.

What orange weights can Jodie's machine handle?

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Question 15(1 point)

Bill has an orange that weighs 6 ounces and an apple that weighs "7 ounces," ie, 199 grams. Which fruit is relatively heavier and why?

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