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# Statistics questions - normal and continuous

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1. What are the characteristics of a normal distribution?

2. List some examples of continuous data.

3. What is the name of the distribution that measures the number of occurrences of an event during specified intervals?

4. What would be the characteristics of a binomial distribution?

5. A population consists of ten items, six of which are defective. In a sample of three items, what is the probability that exactly two are defective?

6. A Federal study reported that 7.5 percent of the U.S. workforce has a drug problem. A drug enforcement official for the State of Indiana wished to investigate this statement. In his sample of 20 employed workers:
a. How many would you expect to have a drug problem? What is the standard deviation?
b. What is the likelihood that none of the workers sampled has a drug problem?
c. What is the likelihood at least one has a drug problem?

7. What is "Bias"?

8. What is the Central Limit Theorem? What does it imply?

9. What is sampling error? How is it calculated?

10. What are the three measures of central tendency?

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## Mean, Median and other statistics questions

1. Some normal probability distributions may have the same mean, but their standard deviation may be different
True or False

2. As the sample size increases, the standard error of the sample mean increases.
True or False

3. Which of the following statement(s) about the normal probability distribution is/are true?
a. The mean equals the mode and the median
b. The median equals the mode
c. The mean divides the distribution into two equal parts.
d. All of the above
e. None of the above

4. The mean of a normal probability distribution is 400 and the standard deviation is 10. Approximately 95% of the values of the distribution lie between what two values?
a. 375 and 425
b. 300 and 500
c. 390 and 410
d. 275 and 525
e. 380 and 420

5. What must you know to develop a binomial probability distribution?
a. The probability of a success
b. The number of trials
c. The number of successes
d. The probability of a success and the number of trials.
e. The number of trials and the number of successes

6. The automobile club performed a survey and discovered that 80% of diarvers in Delaware wear seatbelts. A sample of 10 drivers was selected. What is the probability that at least 5 wore seatbelts?
a. Binomial
b. Continuous distribution
c. Cannot tell from the information given.
d. None of the above

7. A survey of college statistics professors showed an average salary of \$42,000.00 per year with a standard deviation of \$6,000.00. What percent of statistics professors earn between \$36,000.00 and \$48,000.00?
a. Binomial
b. Continuous distribution
c. Cannot tell form the information given.

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