Question

12a. What percent of the population is below the z score of positive 1?

12b. What z score represents the 16th percentile (approximately)?

Please show any work necessary, thank you.

Answer 1

Solution:

12a. What percent of the population is below the z score of positive 1?

P(Z < 1)

= P(Z < 1.00)

=  0.8413

(Use Z table to find P(Z < 1.00) See the column of z . Go to 1.0 and then see the corresponding value at .00 )

Answer: 0.8413

12b. What z score represents the 16th percentile (approximately)?

For 16th percentile ,

P(Z < z score ) = 16%

P(Z < z score) = 0.16

Use z table . Search where is 0.1600 probability (nearly) Then see corresponding z value.

P(Z < -0.99 ) = 0.16 approximately

Required z score is -0.99