Scores on an English test are normally distributed with a mean of 68.7 and a standard deviation of 6.2. Find the score which seperates the bottom 64% from the top 36%.

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Balint Pato asked Jul 12, 2023

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Scores on an English test are normally distributed with a mean of 68.7 and a standard deviation of 6.2. Find the score which seperates the bottom 64% from the top 36%.

Mathematics
high-school

Balint Pato asked Jul 12, 2023

by Balint Pato

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12 votes

Answer:

70.93

Explanation:

Z-score for 100-36 = 64 percentile = +.36 of a S.D. above the mean

.36 * 6.2 + 68.7 = 70.93

Njachowski answered Jul 17, 2023

by Njachowski

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