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Principles of Statistics
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Principles of Statistics
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19 Questions

1. If a person invests $1000 at 10% and $3000 at 30% - the average return of the total investment is
2. The aspect of a normal distribution curve that represents probability is the
3. What percentage of the area under the standard normal curve is between z = –1 and z = 2?
4. A box contains 3 balls numbered 1 - 1 - and 7 - respectively. A ball is drawn at random - its number is noted - and it is put back in the box. This process is performed 100 times. Which of the following is expected to be closest to the sum of the 100 numbers noted?
5. A box contains 3 balls numbered 1 - 1 - and 7 - respectively. A ball is drawn at random - its number is noted - and it is put back in the box. This process is performed 100 times. Which of the following is expected to be closest to the sum of the 100 numbers noted?
6. How many different 4-digit sequences can be formed using the digits 0 - 1 - 2 - 3 - 4 - and 5 if repetition of digits is allowed?
7. How many different 4-digit sequences can be formed using the digits 0 - 1 - 2 - 3 - 4 - and 5 if repetition of digits is allowed?
8. As a sample - five high school students were asked to record the number of hours they spent studying during a one-week period. The ranked data is: 0 - 1 - 2 - 3 - 3. Which of the following statements about the data is correct?
9. In a sample of 2000 drivers - 860 had their seat belts fastened. If one driver is chosen at random - the probability that the driver chosen was not using a seat belt is
10. To ensure that there will be a 95% probability that the sample proportion is within 3% of the population proportion - the sample size n must be no less than
11. A committee of 3 people can be selected from 12 people in how many different ways?
12. Joe has three extra concert tickets to share with his eight friends. The number of ways he can distribute the tickets is
13. Which of the following variables is continuous?
14. What percentage of the area under the standard normal curve is between z = –1 and z = 2?
15. A sample of 100 students at a university showed that 43 had completed one or more remedial college courses. A sample of 200 students at a junior college showed that 90 had completed one or more remedial college courses. Which of the following statements about the null hypothesis that there is no difference in proportion of students who complete remedial courses at a university or a junior college is true? (Assume α = 0.05.)
16. A 100-question multiple-choice test has four alternative responses for each question. If a person picks one of the responses for each question at random - what is the person’s expected score?
17. Assume A and B are mutually exclusive events. If P (A) = 0.2 and P (B) = 0.6 - then P(A or B) equals
18. If a person invests $1000 at 10% and $3000 at 30% - the average return of the total investment is
19. Test scores of 1000 students were found to have a mean and a standard deviation of 500 and 100 - respectively. If the distribution of scores is bell-shaped - the number of scores that fall in the interval 400 to 600 is approximately