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Dahasolnce [82]
3 years ago
12

Suppose the test scores of students in a class are normally distributed with a mean of 85 and a standard deviation of 4. What is

the z-score for a student that scored 79 on a test
A. -4
B. -1.5
C. 1.5
D. 4
Mathematics
1 answer:
UkoKoshka [18]3 years ago
7 0

Answer:

B

Step-by-step explanation:

Converting it to z, we can use the formula of z-score:

z-score = \frac{x-\mu}{\sigma}

Where

x is the value we are checking for (here, x = 79)

\mu  is the mean, which is 85

\sigma is the standard deviation, which is 4 now

<em>Let's plug the information into the formula and solve for the answer:</em>

<em>\frac{x-\mu}{\sigma}\\\frac{79-85}{4}\\-\frac{6}{4}\\-1.5</em>

<em />

<em>B is the correct answer.</em>

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We need to first find the slope:
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<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>></u></em><em><u> </u></em><em><u>16</u></em>.

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