Scores on a standardized military exam are normally distributed with a mean of 57 and a standard deviation of 9. Consider a group of 4000 military students. Approximately how many students will score less than 66 on the test?

Question

Mathematics

Francesca Anderson

10 July, 15:04

Scores on a standardized military exam are normally distributed with a mean of 57 and a standard deviation of 9. Consider a group of 4000 military students. Approximately how many students will score less than 66 on the test?

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Grayson · Answer 1

Use the formula:

66-57=9 (66 minus the mean of 57)

9/9 = 1 (standard deviation divided by 9)

Find 1 on a Z-Score table. This equals. 8413

.8413 (4000) = 3,365.2 (Z-Score multiplied by the number of total students)

Can also be 3,366; )