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Normal Distribution · Question 11 of 68

Question 11

EasyOriginal question

A variable is normal with mean 50 and standard deviation 4. What is the standard normal variate zz for x=42x = 42?

Options for question 11

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. z=x−μσz = \frac{x - \mu}{\sigma}.

  2. z=42−504=−2z = \frac{42 - 50}{4} = -2.

Worth noting

-8 is the distance from the mean in units, not in standard deviations.

Concept
A negative z
Typical time
60 s
Your time
—
The rule this testsThe standard normal variate
Practise this chapter →

Ten questions from Normal Distribution, at your own pace.

Practise this chapter →

Ten questions from Normal Distribution, at your own pace.