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A set of math tests is normally distributed
with a mean of 81 and a standard deviation
of 5. If Adam's z-score was -0.6 and Leah's
z-score was 2.2, how many points higher did
Leah score than Adam?

Respuesta :

kenholland066

2.2-0.6=1.6

1.6*81=129.6

129.6/2=64.8

Answer: 64.8

sakshigupta4990

The Leah score than Adam is, 64.8.

Definition of normal distribution:

A normal distribution is a symmetrical continuous probability distribution in which values are usually clustered around the mean.

Step by step:

Adam had a z-score of -0.6 while Leah had a z-score of 2.2.

According, to the question:

[tex]2.2-0.6=1.6\\[/tex]

[tex]1.6[/tex]×[tex]81=[/tex][tex]129.6[/tex]

[tex]\frac{129.6}{2} \\64.8[/tex]

Hence, The Leah score than Adam score are 64.8.

Learn more about normal distribution here, https://brainly.com/question/4079902

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