Statistics Through Applications
Statistics Through Applications
2nd Edition
ISBN: 9781429219747
Author: Daren S. Starnes, David Moore, Dan Yates
Publisher: Macmillan Higher Education
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Chapter 3.2, Problem 3.32E

(a)

To determine

To calculate the z score from the table at 63rd percentile.

(a)

Expert Solution
Check Mark

Answer to Problem 3.32E

  z value at 63rd percentile = 0.3319

Explanation of Solution

Calculation:

The 63rd percentile means that 63% of the values falls less than that, therefore, it is required to find the value of z below that 63% of the values falls.

P(Z < z) = 0.63 and it is require to find the value of z.

From the standard normal distribution table the value of z is equal to 0.3319.

Therefore, P(z < 0.3319) = 0.63

(b)

To determine

To calculate the z score from the table above that 75% of the data falls.

(b)

Expert Solution
Check Mark

Answer to Problem 3.32E

Z score above that 75% of the value falls is equal to -0.6745.

Explanation of Solution

Calculation:

The 75% above the z score means that 25% of the values falls less than that. The z score below which 25% of the values falls is -0.6745.

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