Suppose you own a fish restaurant and you believe that the
demand for sea bass is...
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Basic Math
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
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
The number inside Table A associated with 2.50 is
2.50
0.0062
0.9938
0.25
10 points
Question 4
The number in the table represents that area to the
Right
Left
10 points
Question 5
So 0.9938 is the area associated with a Z score of
2.50 or more
2.50 or less
10 points
Question 6
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
What is the z-score for 15 pounds of sea bass
0.94
0.8264
0.06
-0.94
10 points
Question 8
What is the number inside table A associated with 0.94
0.8264
0.1736
0.94
10 points
Question 9
So 0.8264 is the area associated with a Z score of
0.94 or less
0.94 or more
10 points
Question 10
The probability that you will need 15 pounds of sea bass or lessis
0.1736
0.94
0.8264
10 points
Question 11
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
What is the z-score associated with the 95th percentile of thestandard normal curve
0.95
1.65
1.28
10 points
Question 13
How many pounds of sea bass are needed for the 95th percentileof sea bass demand
1.65
7.28
17.28
Answer & Explanation
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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
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