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Chapter 6: Q. 36 (page 386)

Suppose X~N(鈥�3,1). Between what xvalues does 34.14%of the data lie?

Short Answer

Expert verified

The 34.14%of data lies between (-3.44,-2.56).

Step by step solution

01

Given Information

Given in the question that, X~N(鈥�3,1).

We have to find between what xvalues does 34.14%of the data lie.

02

Explanation 

The 34.14%is lies in the middle of the normal curve,

Therefore the portion will be divided as equal in both side.

34.14%2=17.07%

So it will be

50%鈭�17.07%=32.93%

So the value of the outside will be32.93%

Now, we need to find the z-value for the 32.93%

z0.3293=鈭�0.44(left鈭�tail)

z0.3293=0.44(right鈭�tail)

The z- score formula is

z=x鈭�渭蟽

鈭�0.44=x鈭�(鈭�3)1鈬�鈭�0.44脳1=x+3鈬�x=鈭�3鈭�0.44鈬�x=鈭�3.44

0.44=x鈭�(鈭�3)1鈬�0.44脳1=x+3鈬�x=鈭�3+0.44鈬�x=鈭�2.56

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Most popular questions from this chapter

The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean 碌=125and standard deviation 蟽=14. Systolic blood pressure for males follows a normal distribution.

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