Question

Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 

13) Shaded area is 0.9599. 

A) - 1.38 B) 1.03 1.82 D) 1.75 

14) Shaded area is 0.0694.

 A) 1.45 B) 1.26 1.48 D) 1.39

Find the indicated value. 

15) z_0.005 

A) 2.535 D) 2.015 92.835 B) 2.575 

16) z_0.36  

A) 1.76 B) 0.45 1.60 D) 0.36

 Provide an appropriate response. 

17) Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). 

A) 0.4400 100 110 B) 0.7486 150 W 0.6293 D) 0.8051 1

18) Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). 

A) 0.7745 B) 0.7619 0.7303 D) 0.7938 

19) Assume that adults have 10 scores that are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). Find P30, which is the IQ score separating the bottom 30% from the top 70% 

A) 91.4 B) 91.9 C)92.8 D) 92.2 

Assume that X has a normal distribution, and find the indicated probability. 

20) The mean is u 60.0 and the standard deviation is o = 4.0. 

Find the probability that X is less than 53.0 

A) 0.5589 B) 0.0401 0.0802 D) 0.9599 

21) The mean is u= 15.2 and the standard deviation is a = 0.9. Find the probability that X is greater than 16.1. 

A) 0.1587 B) 0.8413 0.1357 D) 0.1550

 Find the indicated probability. 

22) The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $525 a week? 

A) 0.2177 B) 0.2823 0.7823 D) 0.1003 

Solve the problem. Round to the nearest tenth unless indicated otherwise. 

23) Scores on a test are normally distributed with a mean of 63.2 and a standard deviation of 11.7. Find P91, which separates the bottom 81% from the top 19%. 

A) 0.88 B) 73.5 C) 0.291 D) 66.6 

Find the indicated probability. 

24) The incomes of trainees at a local mill are normally distributed with a mean of $1100 and a standard deviation of $150. What percentage of trainees earn less than $900 a month? 

A) 40.82% B) 9.18% 90.82% D) 35.31% 

Solve the problem. 

25) The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70 inches, and a standard deviation of 10 inches. What is the probability that the mean annual snowfall during 25 randomly picked years will exceed 72.8 inches? 

A) 0.0508 B) 0.5808 0.4192 D) 0.0026 

26) The scores on a certain testare normally distributed with a mean score of 60 and a standard deviation of 5. What is the probability that a sample of 90 students will have a mean score of at least 60.527? 

A) 0.8413 B) 0.3413 90.3174 D) 0.1587

Answer 1

Soin (13) Shaded area is 0.9599 As option (D] = 1975 7 shaded area is 0.0694 As 1.48 (17) le = 100 15:15 PCX 690 ) = P1 x il < 10400) 1. Plz 20.67) = 0.7486 ophon (B) 13 le=100 10-15 P18516.11 -Pl x=47161-1802 = 0.1587 [option CAD ] 972 100g