Suppose you own a fish restaurant and you believe that the demand for sea bass is...

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Basic Math

  1. Suppose you own a fish restaurant and you believe that thedemand for sea bass is distributed normally (that is, follows thebell-shaped curve) with a mean of 12 pounds and a standarddeviation of 3.2. In summary, we express this as N(12,3.2).

    1a. The notation N(12,3.2) means that

    The mean (average) is 3.2 and the standard deviation is 12

    The mean is 12 and the standard deviation is 3.2 and the datafollows a bell shape curve

    The mean is 12 and the standard deviation is 3.2 and the datadoes not follow a bell shape curve

10 points

Question 2

  1. What is the z-score for 20 pounds of sea bass? You find thez-score by calculating (x-mean)/standard deviation

    0.0062

    2.50

    0.9938

    0.25

10 points

Question 3

  1. The number inside Table A associated with 2.50 is

    2.50

    0.0062

    0.9938

    0.25

10 points

Question 4

  1. The number in the table represents that area to the

    Right

    Left

10 points

Question 5

  1. So 0.9938 is the area associated with a Z score of

    2.50 or more

    2.50 or less

10 points

Question 6

  1. The probability that you will need 20 pounds or more of sea bassis

    0.25

    0.0062

    0.9938

    2.50

10 points

Question 7

  1. What is the z-score for 15 pounds of sea bass

    0.94

    0.8264

    0.06

    -0.94

10 points

Question 8

  1. What is the number inside table A associated with 0.94

    0.8264

    0.1736

    0.94

10 points

Question 9

  1. So 0.8264 is the area associated with a Z score of

    0.94 or less

    0.94 or more

10 points

Question 10

  1. The probability that you will need 15 pounds of sea bass or lessis

    0.1736

    0.94

    0.8264

10 points

Question 11

  1. What is the probability that you will need between 15 and 20pounds of sea bass

    0.94

    0.8264

    0.1674

10 points

Question 12

  1. What is the z-score associated with the 95th percentile of thestandard normal curve

    0.95

    1.65

    1.28

10 points

Question 13

  1. How many pounds of sea bass are needed for the 95th percentileof sea bass demand

    1.65

    7.28

    17.28

Answer & Explanation Solved by verified expert
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Question 1 The notation N1232 means that The mean is 12 and the standard deviation is 32 and the data follows a bell shape curve Question 2 What is the zscore for 20 pounds of sea bass You find the zscore by calculating    See Answer
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