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Chapter 6: Q.6.2 (page 368)

Jerome averages 16 points a game with a standard deviation of four points. X~N(16,4). Suppose Jerome scores ten points in a game. The z鈥搒core when x=10 is 鈥�1.5. This score tells you that x=10 is _____ standard deviations to the ______(right or left) of the mean______(What is the mean?).

Short Answer

Expert verified

It is clear that this score tells that x=10is 1.5standard deviations to the left of the mean16.

Step by step solution

01

Given Information

Jerome averages 16 points a game with a standard deviation of four points X~N(16,4).

02

Calculation

X~N(16,4)

Where,

渭=16

蟽=4

Therefore, the localid="1648907985744" zscore is:

localid="1648907989636" z=x-渭蟽

localid="1648907992810" z=10-164

localid="1648907996351" z=-1.5

03

Step 3:Explanation

The zscore will be negative if the value of mean is greater than the value of xand it will be positive if the value of mean is less than the value of x.

From the information, it is clear that, this score tells you that x=10is 1.5standard deviations to the left of the mean16.

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