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Answer :
Using the Empirical Rule, it is found that 2.5% of the scores are greater than 88.
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The Empirical Rule defined that in a normal distribution:
- 68% of the scores are within 1 standard deviation of the mean.
- 95% are within 2.
- 99.7% are within 3.
In this problem:
- Mean of 72, standard deviation of 8.
- 88 = 72 + 2(8), thus, it is 2 standard deviations above the mean.
- The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
- Of the 50% of the measures below the mean, none are above 88.
- Of the 50% of the measure above the mean, 100 - 95 = 5% are above 88, thus:
[tex]P = 0.05(50) = 2.5[/tex]
2.5% of scores are greater than 88.
A similar problem is given at https://brainly.com/question/24537145
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