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The scores on a test are normally distributed with a mean of 70 and a standard deviation of 14. Find the score that is two and one half standard deviations below the mean

Sagot :

Answer:

35

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score = ?

μ is the population mean = 70

σ is the population standard deviation = 14

We were given the z score in the question as: Two and one half standard deviations below the mean

Hence:

= μ - zσ

= 70 - 2.5(14)

= 70 - 35

= 35

The score that is two and one half standard deviations below the mean is 35

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