Chapter 3.2, Problem 3.32E

(a)

To determine

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

Answer to Problem 3.32E

  ${\text{z value at 63}}^{\text{rd}}\text{ percentile = 0}\text{.3319}$

Explanation of Solution

Calculation:

The 63^rd 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.

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.