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X= the mean, s= standard deveation x=30, s=2 what percent of the scores would be found...

X= the mean, s= standard deveation

x=30, s=2

what percent of the scores would be found between 28 and 32?

what percent of the scores would be found between 26 and 34?

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Answer #1

Mean, = 30

Standard deviation, = 2

The percent of scores that would be found between 28 and 32

= P(28 ≤ X ≤ 32) * 100%

= P{(28 - 30)/2 ≤ Z ≤ (32 - 30)/2} * 100%

=P(-1 ≤ Z ≤ 1)*100%

= 68.26%

The percent of scores that would be found between 26 and 34

= P(26 ≤ X ≤ 34) * 100%

= P(-2 ≤ Z ≤ 2)*100%

= 95.44%

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