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1) A poll is planned to determine what proportion of all students favor an increase in fees to support a new track and field stadium. A questionnaire will be published and the first 1000 completed questionnaires will be analyzed. Which of the following errors will be associated with the sample?
A. Sampling errors only
B. Sampling errors and errors due to selection bias
C. Only non-sampling errors
D. Errors due to interviewer bias and selection bias
2) A recent study of breast cancer revealed that 13% of the women in the sample used antibiotics more than 500 days in their lifetime. Further, 79% of these “heavy antibiotics users” developed breast cancer. According to the American Cancer Society, one in twelve women will develop breast cancer at some time in her life. Of the numbers mentioned, which are parameters?
A. 79% and one in twelve
B. 13% and 79%
C. 79% and 500 days
D. 13% and one in twelve
3) What is the difference between probability sampling and simple random sampling?
A. In probability sampling each item has an identical chance of being chosen.
B. There is no difference.
C. Simple random sampling is a type of probability sampling.
D. Probability sampling is a type of simple random sample.
4) Which of the following is NOT a reason one should have knowledge of statistics?
A. To be able to mount an effective effort to change a government regulation that negatively affects one’s business
B. To help interpret existing information
C. To increase the amount of information available for use
D. To make future projections of one’s sales
5) Which of the following is an example of statistical inference?
A. Calculating the amount of fly spray needed for your orchard next season.
B. Calculating the mean age of patients discharged from hospitals in New York State in 1997.
C. Counting the number of patients who file malpractice suits after being discharged from hospitals in New York State.
D. Calculating the mean number of fruit trees damaged by Mediterranean fruit flies in California last year.
6) Which of the following is NOT a characteristic of an ideal statistician?
A. Can deal with imperfect information
B. Adapts answers to client desires
C. Technically current (e.g. software)
D. Communicates well (both written and oral)
7) If terms such as positive, negative, more than, and less than, are used, then these hypotheses are_________.
A. nondirectional hypotheses
B. null hypotheses
C. directional hypotheses
D. alternative hypotheses
8) A ___________ variable changes the relationship between the independent and dependent variables.
A. moderating
B. intervening
C. dependent
D. independent
9) Which of the following is NOT a potential source of survey error?
A. Interviewer error
B. Coverage error
C. Measurement error
D. Standard error
10) Which of these is NOT an acceptable type of survey question?
A. leading question
B. ranking questions
C. pictograms
D. Likert scale
11) Name the item that is NOT a recognized survey guideline.
A. quality control
B. design
C. ability to find friendly survey respondents
D. pilot or beta test
12) Which of the following is NOT an ethical concern for the statistical researcher?
A. Conceal financial support
B. Maintain data accuracy
C. Accurate reporting of procedures
D. Accepted procedures are followed
13) Which of the following is NOT an ethical concern for the statistical researcher?
A. Monetary compensation
B. Use of sound methodology
C. Informed consent
D. Protection of confidentiality
14) Which of the following is not an ethical concern for the statistical researcher?
A. Cite sources
B. Inhumane treatment of animals
C. Manipulation of data
D. Privacy of privacy
15) The average score for a class of 30 students was 75. The 20 male students in the class averaged 70. The 10 female students in the class averaged
A. 70
B. 80
C. 75
D. 85
16) Textbook Price Number of Textbooks $25 to $35 2 35 to 45 16 45 to 55 5 55 to 65 7 65 to 75 20 Estimate the mean price of a textbook.
A. $55.40
B. $11.08
C. $60.00
D. $554.00
17) A study of the scores on an in plant course in management principles and the years of service of the employees enrolled in the course yielded the following statistics: Test Scores: mean=100 variance = 225 Years of Service: mean=5 variance = 81 Of test scores and years of service, which measure has the greater dispersion?
A. It is impossible to tell.
B. Years of service
C. The short-run effects of those changes are always more beneficial to society than are the long-run effects.
D. Test scores
18) Identify the scale which has no meaningful zero.
A. ratio
B. ordinal
C. interval
D. nominal
19) Which measurement uses absolute values?
A. interval scale
B. ordinal scale
C. harmonic scale
D. ratio correct
20) Which of these measurement scales has a rank order associated with its use?
A. Likert
B. Ratio
C. Ordinal
D. Nominal
21) The Information Commons in the main library has 150 personal computers. The probability that any one of them will require repair on a given day is 0.02. To find the probability that exactly 25 of the computers will require repair, one would use what type of probability distribution?
A. Hypergeometric distribution
B. Binomial distribution
C. Poisson distribution
D. Normal distribution
22) The local police department must write, on average, 5 tickets a day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 5.5 tickets per day. Interpret the value of the mean.
A. The mean cannot be interpreted.
B. The number of tickets written most often is 5.5 tickets per day
C. Half of the days have less than 5.5 tickets written and half of the days have more than 5.5 tickets written
D. If we sampled all days, the arithmetic average or expected number of tickets written would be 5.5 tickets per day.
23) Which of the following cannot generate a Poisson distribution?
A. The number of goals in the World Cup soccer game
B. The number of people at a movie theatre on Friday evening
C. The number of customers arriving at an ATM in a minute
D. The number of defects in a new automobile
24) The Big Red Arcade and Pizza Palace caters to young teens and sells tokens to play arcade games for 25¢ each and slices of pizza for 50¢ each. The following table details the distribution of sales of pizza slices per customer and sales of arcade tokens per customer. # Slices of Pizza 0 1 2 3 4 5 Probability 0.05 0.10 0.20 0.30 0.15 0.20 # Arcade Games 0 1 2 3 4 5 Probability 0.01 0.04 0.15 0.20 0.25 0.35 What is the total expected per-customer revenue for pizza slice sales and arcade token sales?
A. $1.34
B. $6.69
C. $2.60
D. $2.42
25) Which of these parameters associated with a binomial experiment will produce a probability distribution with the smallest standard deviation; given n is the same for each situation?
A. (1- p) = 0.1.
B. p = 0.5
C. p = 0.4
D. p = 0.3
26) The average qualifying speed for a championship NASCAR race is 145.65 mph and the standard deviation is 9.45 mph. Only drivers who obtain z-scores greater than 1.2 will qualify for the race. If the speeds are normally distributed, what minimum speed must be clocked to compete for the trophy?
A. 174.8 mph
B. 146.9 mph
C. 155.2 mph
D. 157.0 mph
27) The expected value of the sampling distribution of the sample mean equals the population mean
A. for all populations.
B. when the population is normally distributed.
C. when the population is symmetric.
D. when the population size N > 30.
28) A random variable follows the student’s t distribution. The probability that it will be positive is
A. 0
B. less than 0.50.
C. 1
D. 0.05
29) For a sample size of 1, the sampling distribution of the mean will be normally distributed
A. only if the population is normally distributed.
B. only if the population values are larger than 30.
C. regardless of the shape of the population.
D. only if the shape of the population is positively skewed.
30) A random sample of 25 observations is selected from a normally distributed population. The sample variance is 10. In the 95% confidence interval for the population variance, the upper limit will be
A. 19.353
B. 17.331
C. 17.110
D. 6.097
31) A study of 200 insomniacs paid for by the Serta Mattress Company found that the average insomniac counted 350 sheep before falling asleep, with a standard deviation of 120. An insomniac is a person who has difficulty falling asleep. Some useful numbers might be: =NORMSINV(0.89) 1.2265 =NORMSINV(0.945) 1.5982 =TINV(0.89,199) 0.1385 =TINV(0.11,199) 1.6053 =TINV(0.055,199) 1.9302 Calculate an 89% confidence interval for the true mean number of sheep counted by insomniacs.
A. 350±16.38
B. 350±13.62
C. 350±10.41
D. 350±13.56
32) A study of 200 insomniacs paid for by the Serta Mattress Company found that the average insomniac counted 350 sheep before falling asleep, with a standard deviation of 120. An insomniac is a person who has difficulty falling asleep. Some useful numbers might be: =NORMSINV(0.89) 1.2265 =NORMSINV(0.945) 1.5982 =TINV(0.89,199) 0.1385 =TINV(0.11,199) 1.6053 =TINV(0.055,199) 1.9302 Out of the 200 insomniacs, 98 reported regularly watching The Late Show with David Letterman before they began to count sheep.Calculate the margin of error for a 78% confidence interval of the true proportion of insomniacs who regularly watch David Letterman before counting sheep.
A. 0.164
B. 0.136
C. 0.043
D. 0.056
33) When a change has occurred in the mean of the process distribution, the result is referred to as
A. a trend.
B. a cycle.
C. a level shift.
D. instability.
34) When the only sources of variation in a production process are caused by chance, the process is said to be
A. out of control.
B. out of control but in balance.
C. under control.
D. out of balance but under control.
35) When the results of a process are either defective or acceptable, the charts used for SPC are called
A. control charts for attributes.
B. control charts for variables.
C. control charts for in control process.
D. control charts for out of control process.
