Find the z value to the right of the mean so that a.

Chapter 6, Problem 46

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QUESTION:

Find the z value to the right of the mean so that a. 54.78% of the area under the distribution curve lies to the left of it. 0.12 b. 69.85% of the area under the distribution curve lies to the left of it. 0.52 c. 88.10% of the area under the distribution curve lies to the left of it. 1.18

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QUESTION:

Find the z value to the right of the mean so that a. 54.78% of the area under the distribution curve lies to the left of it. 0.12 b. 69.85% of the area under the distribution curve lies to the left of it. 0.52 c. 88.10% of the area under the distribution curve lies to the left of it. 1.18

ANSWER:

Step 1 of 4

(a)

To find the z value such that 54.78% of the area under the distribution curve lie to the left of it:

Z is a standard normal variable with mean of 0 and variance 1.

Thus,

 

This is because the area of the distribution curve of z variate towards the left of 0 is always 0.5.

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