SOLUTION: Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 69-95-9.7 rule to find the following quantities: a. Percentage

Algebra ->  Probability-and-statistics -> SOLUTION: Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 69-95-9.7 rule to find the following quantities: a. Percentage      Log On


   



Question 487944: Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 69-95-9.7 rule to find the following quantities:
a. Percentage of scores less than 100
b. Relative frequency of scores less than 120
c. Percentage of scores less than 140
d. Percentage of scores less than 80
e. Relative frequency of scores less than 60
f. Percentage of scores greater than 120

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 69-95-97 rule to find the following quantities:
Draw the normal curve. Put 100 in the middle and mark off the standard
deviation scores to the left and to the right of the middle.
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a. Percentage of scores less than 100:::0.5000
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b. Relative frequency of scores less than 120:::69/100
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c. Percentage of scores less than 140:::95%
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d. Percentage of scores less than 80:::0.50-0.34.5 = 15.5%
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e. Relative frequency of scores less than 60:::5/100
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f. Percentage of scores greater than 120:::0.5-0.34.5 = 15.5%
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Cheers,
Stan H.