what is the answer for Q16 abcd Given that z is a standard

Given that z is a standard normal random variable, find z for each situation. a. the area to the right of z is .01. b. the area to the right of z is .025. a. the area to the right of z is .05. a. the area to the right of z is .10.

Solution

(a)

Area right to z-score 0.01 means area left to z-score is 1-0.01=0.99. From z-table area left to z-score 2.33 is 0.99. So required z-score is 2.33.

(b)

Area right to z-score 0.025 means area left to z-score is 1-0.025=0.975. From z-table area left to z-score 1.96 is 0.975. So required z-score is 1.96.

(c)

Area right to z-score 0.05 means area left to z-score is 1-0.05=0.95. From z-table area left to z-score 1.645 is 0.95. So required z-score is 1.645.

(d)

Area right to z-score 0.10 means area left to z-score is 1-0.10=0.90. From z-table area left to z-score 1.28 is 0.90. So required z-score is 1.28.