4. Heights of all adult males have a mean of m = 69.5 and standard deviation of

Question

4.   Heights of all adult males have a mean of m = 69.5 and standard deviation of s = 2.8,

     in a normal distribution. Quarterback Tom Brady is 76 inches tall. But is his height exceptional

     compared to the general male population?

a. Find the Z-score for Tom Brady's height.

b. Interpret the value you calculated in part a.

4.   Heights of all adult males have a mean of m = 69.5 and standard deviation of s = 2.8,

     in a normal distribution. Quarterback Tom Brady is 76 inches tall. But is his height exceptional

     compared to the general male population?

a. Find the Z-score for Tom Brady's height.

b. Interpret the value you calculated in part a.

Explanation / Answer

4.

a)

As

z = (x-u)/sigma

Then

z = (76-69.5)/2.8 = 2.321428571 [ANSWER]

***************************

b)

Tom Brady's height is then 2.321 standard deviations from the mean. Using table/technology, he is taller than around 98.99% of adult males.   

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