On the final examination in Engineering Data Analysis, the mean was 72

kuvitia9f 2021-12-08 Answered
On the final examination in Engineering Data Analysis, the mean was 72 and the standard deviation was 15.
a. Determine the standard scores (z-values) of students receiving the grade of 65.
b. Determine the standard scores (z-values) of students receiving the grade of 85
c. Determine the probability that a student will score greater than 75.
d. Determine the probability that a student will score lower than 65.
e. Find the grade corresponding to a standard score of 1.

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Expert Answer

Laura Worden
Answered 2021-12-09 Author has 2293 answers
Given,
\(\displaystyle\mu={72}\)
\(\displaystyle\sigma={15}\)
a)
The standard scores (z-values) of students receiving the grade of 65 is,
\(\displaystyle{z}={\frac{{{x}-\mu}}{{\sigma}}}\)
\(\displaystyle={\frac{{{65}-{72}}}{{{15}}}}\)
=-0.47
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Jeremy Merritt
Answered 2021-12-10 Author has 2606 answers
b)
The standard scores (z-values) of students receiving the grade of 85 is,
\(\displaystyle{z}={\frac{{{x}-\mu}}{{\sigma}}}\)
\(\displaystyle={\frac{{{85}-{72}}}{{{15}}}}\)
=0.87
0

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