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Mathematics 20 Online
OpenStudy (anonymous):

The time required to finish a test is normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes. What is the z-Score for a student who finishes the test in 45 minutes?

OpenStudy (kropot72):

\[z=\frac{X-\mu}{\sigma}=\frac{45-60}{10}=\] Can you finish the calculation?

OpenStudy (anonymous):

0.06681

OpenStudy (anonymous):

?

OpenStudy (kropot72):

\[z=\frac{45-60}{10}=\frac{-15}{10}=?\] Can you finish it correctly now?

OpenStudy (kropot72):

You are confusing the calculation of z with the probability of finishing the test in fewer than 40 minutes. The value of z is -1.5. The probability of finishing the test in fewer than 40 minutes is 0.0668.

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