Scores on an english test are normally distributed with a mean of 31. 5 and a standard deviation of 7. 3. Find the score that separates the top 59% from the bottom 41%

The score that separates the top 59% from the bottom 41% is approximately 33.084.

To find the score that separates the top 59% from the bottom 41%, we need to find the corresponding z-scores and then convert them back to raw scores.

Step 1: Find the z-score that corresponds to the top 59%.

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to the top 59% is approximately 0.28.

Step 2: Find the z-score that corresponds to the bottom 41%.

Using the same method, we can find that the z-score corresponding to the bottom 41% is approximately -0.28 (note that this is the negative of the z-score we found in step 1).

Step 3: Convert the z-scores back to raw scores.

To convert a z-score back to a raw score, we use the formula:

raw score = (z-score * standard deviation) + mean

For the z-score of 0.28:

raw score = (0.28 * 7.3) + 31.5 = 33.084

For the z-score of -0.28:

raw score = (-0.28 * 7.3) + 31.5 = 29.916

Learn more about standard deviation here: https://brainly.com/question/475676

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A.
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B.
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C.
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D.
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A
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Your answer:

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a

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b

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c

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d

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False
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False
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input
body
nine
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parts
systems

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