Question
1. What is the area under the normal curve between z = 0.0 and z = 1.79? a. 0.4633 b. 0.0367 c. 0.9599 d. 0.0401
1. What is the area under the normal curve between z = 0.0 and z = 1.79?
a. 0.4633
b. 0.0367
c. 0.9599
d. 0.0401
Answer: _____
2. The mean score of a college entrance test is 500; the standard deviation is 75. The scores are normally distributed. What percent of the students scored below 320?
a. About 50.82%
b. About 34.13%
c. About 7.86%
d. About 0.82%
Answer: _____
3. A new extended-life light bulb has an average life of 750 hours, with a standard deviation of 50 hours. If the life of these light bulbs approximates a normal distribution, about what percent of the distribution will be between 600 hours and 900 hours?
a. 95%
b. 68%
c. 34%
d. 99.47%
Answer: _____
4. The weight of cans of fruit is normally distributed with a mean of 1,000 grams and a standard deviation of 50 grams. What percent of the cans weigh 860 grams or less?
a. 0.0100
b. 0.8400
c. 0.0026
d. 0.0001
Answer: _____
5. A large manufacturing firm tests job applicants. Test scores are normally distributed with a mean of 500 and a standard deviation of 50. Management is considering placing a new hire in an upper-level management position if the person scores in the upper sixth percent of the distribution. What is the lowest score a new hire must earn to qualify for a responsible position?
a. 50
b. 625
c. 460
d. 578
Answer: _____
6. The average score of 100 students taking a statistics final was 70, with a standard deviation of 7. Assuming a normal distribution, what is the probability that a student scored 90 or higher?
a. 0.4979
b. 0.0021
c. 0.9979
d. 2.86
Answer: _____
7. The mean of a normal probability distribution is 60 and the standard deviation is 5. The percent of observations that are between 50 and 70 is ______.
Answer:
8. The proportion of the area under a normal curve that is to the left of z = 1.40 is _______.
Answer:
9. The proportion of the area under a normal curve that is to the right of z = -1.71 is _______.
Answer:
10. The weight of a bag of corn chips is normally distributed with a mean of 22 ounces and a standard deviation of 0.5 ounces. The probability that a bag of corn chips weighs more than 23 ounces is ____.
Answer:
11. Two business major students, in two different sections of an economics class, were comparing test scores. The following shows the sections' mean and standard deviation. The student in section 2 scored 75. The student's z score would be _____.
Answer:
12. A sample of 500 part-time students revealed that their annual incomes were normally distributed with a mean income of $30,000 and a standard deviation of $3,000. The number of students who earned more than $36,000 was ______.
Answer:
13. From past history, the scores on a statistics test are normally distributed with a mean score of 70 and a standard deviation of 5. To earn a "C" on the test, a student must be in the top 25% of the class. A student would need to score at least ______ to receive a "C" grade.
Answer:
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