HELP ASAP FOR BRAINLIEST: 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? Show work!

Respuesta :

Answer: the z score is - 1.5

Step-by-step explanation:

Since the time required to finish a test is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = time required to finish the test

µ = mean time

σ = standard deviation

From the information given,

µ = 60 minutes

σ = 10 minutes

We want to find the z-score for a student who finishes the test in 45 minutes

For x = 45,

z = (45 - 60)/10 = - 15/10 = - 1.5