10. Let z, =-1.8 and z, =-0.25. Which among the following probabilities for : score illustrates the area under the standard normal curve as shown at the right using z, and :,? A. P(z>-1.55) B. P(-1.8-1.8)

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Answer numbers 10-17 write the correct letter for each number

10. Let z, =-1.8 and z, =-0.25. Which among the following probabilities for z score illustrates the area
under the standard normal curve as shown at the right using z, and z,?
A. P(z>-1.55)
B. P(-1.8<z<-0.25)
С. Р(г<-2.05)
D. P(z>-1.8)
For numbers 11 and 12,
A state university desires to accept only the top 15% of all graduating seniors who took their
entrance test. This test has a mean of 500 and a standard deviation of 100. Assume the variable is
normally distributed.
11. Find the probability that a person selected at random will get a score greater than the mean of 500
but will not be admitted to the university.
A. 15%
В. 25%
C. 35%
D. 85%
12. Find the cutoff score for the test.
A. 600
B. 460
C. 640
D. 800
Transcribed Image Text:10. Let z, =-1.8 and z, =-0.25. Which among the following probabilities for z score illustrates the area under the standard normal curve as shown at the right using z, and z,? A. P(z>-1.55) B. P(-1.8<z<-0.25) С. Р(г<-2.05) D. P(z>-1.8) For numbers 11 and 12, A state university desires to accept only the top 15% of all graduating seniors who took their entrance test. This test has a mean of 500 and a standard deviation of 100. Assume the variable is normally distributed. 11. Find the probability that a person selected at random will get a score greater than the mean of 500 but will not be admitted to the university. A. 15% В. 25% C. 35% D. 85% 12. Find the cutoff score for the test. A. 600 B. 460 C. 640 D. 800
13. Which of the following statements about the normal curve is false?
A. All variables that are approximately normally distributed can be transformed into standard
normal variables.
B. The total area under the normal distribution is one.
C. The standard normal distribution is unimodal.
D. The normal distribution is a continuous random probability distribution.
14. Which is true about the negative z- score?
A. A negative z-score implies that the students scored higher than the class mean
B. A negative z-score means that the student's score is located at the right side of the curve.
C. A negative z-score means that the student's score is lower than the median
D. A negative z-score means that the student's score surpassed more than 50% of his classmates.
15. Find the area under the standard normal curve between z = 0 and z = - 1.55.
A. 0.4394
B. 0.4332
C. - 0.4332
D. 0.3531
16. Suppose that the vehicle speeds at an interstate location have a normal distribution with a mean
equal to 70mph and standard deviation equal to 8mph. What is the z-score for a speed of 64mph?
A. -0.75
В. 0.75
C. -6
D. 6
17. Terence scores in Mathematics this semester was rather inconsistent. His scores are as follows:
55, 100, 95, 85, 75, 100. How many scores are within one standard deviation of the mean?
А. 5
В. 95
С. 80
D. 100
Transcribed Image Text:13. Which of the following statements about the normal curve is false? A. All variables that are approximately normally distributed can be transformed into standard normal variables. B. The total area under the normal distribution is one. C. The standard normal distribution is unimodal. D. The normal distribution is a continuous random probability distribution. 14. Which is true about the negative z- score? A. A negative z-score implies that the students scored higher than the class mean B. A negative z-score means that the student's score is located at the right side of the curve. C. A negative z-score means that the student's score is lower than the median D. A negative z-score means that the student's score surpassed more than 50% of his classmates. 15. Find the area under the standard normal curve between z = 0 and z = - 1.55. A. 0.4394 B. 0.4332 C. - 0.4332 D. 0.3531 16. Suppose that the vehicle speeds at an interstate location have a normal distribution with a mean equal to 70mph and standard deviation equal to 8mph. What is the z-score for a speed of 64mph? A. -0.75 В. 0.75 C. -6 D. 6 17. Terence scores in Mathematics this semester was rather inconsistent. His scores are as follows: 55, 100, 95, 85, 75, 100. How many scores are within one standard deviation of the mean? А. 5 В. 95 С. 80 D. 100
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