Chapter # classifications of unlikely, likely, or very likely to describe possible buying of a product?

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1 A. Attribute data B. Numerical data C. Quantitative data D. Sample data E. Qualitative data F. Statistic G. Parameter Chapter #1 Match the following descriptions with the best term or classification given above: 36. zip codes for students attending college in the state of Oklahoma? 37. grade point averages for athletes? 38. classifications of unlikely, likely, or very likely to describe possible buying of a product? 39. the height in centimeters of children in a third-grade class. 4. the 18-hole score for all rounds of golf played at Oak Hill Country Club last year. 41. Consider the following data: like, no preference or dislike. Which of the following best describes these data? 42. the weights of babies born in a given hospital? 44. Which of the following data types would not be considered quantitative data? A. Heights of basketball players B. Weight of newborn babies C. Grade point average of college sophomores D. Zip codes within the state of Ohio 45. A company has developed a new battery, but the average lifetime is unknown. In order to estimate this average, a sample of 1 batteries is tested and the average lifetime of this sample is found to be 25 hours. The 25 hours is the value of a: A. parameter B. statistic C. sampling frame D. population 48. Choose the item that best completes the following statement: No matter what the variable is, if the tool of measurement is precise enough, there will be: A. uncertainty B. variability C. probability D. measurability Classify the following problems as either statistics (S) or probability (P) 46. Suppose you are interested in determining the preferred candidate for governor of Michigan among registered voters in Mecosta County. 49. Suppose you are interested in determining the likelihood of winning a state lottery by purchasing one ticket. Which of the following best describes this problem? 5. Suppose you are interested in determining the mean age of all students attending community colleges in the state of Teas. Which of the following best describes this problem? Chapter #2 36. At a large company, the majority of the employees earn from $2, to $3, per year. Middle management employees earn between $3, and $5, per year while top management earn between $5, and $1, per year. A histogram of all salaries would have which of the following shapes? A. Symmetrical B. Uniform C. Skewed to right D. Skewed to left 37. Which of the following types of graphs would not be good for qualitative data? A. Bo-and-whisker display B. Circle graph C. Bar graph D. Pareto diagram 1

2 What is the most appropriate measure of central tendency of the given data. Select from: A. Mean B. Median C. Mode D. Midrange 38. The following set of data represents letter grades on term papers in a rhetoric class: A, A, A, B, B, B, B, C, C, C, C, C, C, C, C, C, C, C, D, D, D, F. 39. The following data set represents shirt sizes for girls field hockey team: S, S, S, M, M, M, M, M, M, M, M, M, M, L, L, L, L, L, XL, XL 4. The following set of data represents the ages of students in a small seminar: 2, 21, 22, 25, 26, 27, and 68. Select the most appropriate measure of central tendency for the data described. 41. The following set of data represents the temperature high for seven consecutive days in February in Chicago: 22, 14, 26, 27, 35, 38, and 41. Select the most appropriate measure of central tendency for the data described. 42. Adding 5 to each value in a data set would not change which of the following measures? A. Mode B. Mean C. Mid-range D. Standard deviation 43. Which of the following is not the same as the other answers? A. Median B. Fiftieth percentile C. Second quartile D. Mean 44. Which of the following is a correct statement? A. The interquartile range is found by taking the difference between the first and third quartiles and dividing that value by 2. B. The standard deviation is epressed in terms of the original units of measurement but the variance is not. C. The values of the standard deviation may be either positive or negative, while the value of the variance will always be positive. D. The mean absolute deviation is a measure of spread that is used too frequently For a normal distribution, a value that is two standard deviations below the mean would be closer to which of the following? A. Third percentile B. First quartile C. Fortieth percentile D. Median 46. The measure most affected by etreme values is: A. Mean B. Median C. Mode D. midquartile 47. Which of the following is a correct statement? A. The mean is a measure of the deviation in a data set. B. The standard deviation is a measure of dispersion. C. The range is a measure of central tendency. D. The median is a measure of dispersion. 48. The difference between the largest and smallest values in an ordered array is called the: ANSWER: Chapter #3 26. In bivariate data, where both response variables are quantitative ordered pairs (, y), what name do we give to the variable? A. Attribute variable B. Dependent variable C. Output variable D. Independent variable 28. For which of the following situations is it appropriate to use a scatter diagram? A. Presenting two qualitative variables B. Presenting one qualitative and one quantitative variable C. Presenting two quantitative variables 2

3 D. All of the above 29. Select the most likely answer for the coefficient of linear correlation for the two variables described below: = the number of hours spent studying for a test, and y = the number of points earned on the test A. r = 1.2 B. r =.7 C. r =.85 D. r =.5 3. Select the most likely answer for the coefficient of linear correlation for the two variables described below: = the weight, in pounds, of a college student, and y = the grade point average for the student A. r =.98 B. r =.65 C. r =.7 D. r = Select the most likely value for the coefficient of linear correlation for the two variables described below: = the number of police patrol cars cruising in a given neighborhood, and y = the number of burglaries committed in the neighborhood A. r = 1.14 B. r =.78 C. r =.13 D. r = Select the most likely value for the coefficient of linear correlation for the two variables described below: = height in inches of college students, and y = IQ s of these college students A. r =.87 B. r =.65 C. r =.2 D. r = Shown below is a scatter diagram for high-school GPAs () versus college GPAs (y). The sample was selected from freshmen who had completed two semesters at a small college. 4. What can we say about the slope of the line of best fit? A. The slope is positive. B. The slope is near zero. C. The slope is negative. D. The slope is eactly zero. College GPA Multiple-Choice Chapter # High School GPA 31. A sample space is composed of three outcomes, called A, B, and C. Outcome A is twice as probable as B, and B is twice as probable as C. The probabilities of A, B, and C would be: P(A) = ; P(B) = ; P(C) = 32. If A is any event of a sample space S with P(A) = q, then P( A) is equal to 33. Which of the following defines a sample space that has sample points in common? A. P(A) =.6 and P(B) =.7 B. P(A) =.35 and P(B) =.65 C. P(A) =.6 and P(B) =.4 D. P(A) =.3, P(B) =.4, and P(B) = If A and B are events of a sample space S with A and B mutually eclusive, then P(A) + P(B): A. must equal 1. B. could equal l. C.would equal P(A) P(B) D.greater than Suppose A and B are independent events of a sample space S with P(A) =.3 and P(B) =.5, then P(A and B) = 3

4 36. Suppose A and B are events of a sample space S with P(A) =.22, P(B) =.4, and P(A and B) =.4, then P( A B ) = 38. If P(A) =.8, P(B) =.7 and P(A or B) =.9, then P(A and B) = 39. If P(A) =.45, P(B) =.35 and P(A and B) =.25, then P(A B) = 4. If P(A) =.2, P(B) =.4 and P(A and B) =.8, then A and B are: A. dependent events B. independent events C. mutually eclusive events D. complementary events 41. If A and B are mutually eclusive events with P(A) =.4, then P(B): A. can be any value between and 1 B. cannot be larger than.4 C. cannot be larger than.6 D. cannot be determined with the information given 42. If A and B are independent events with P(A) =.35 and P(A B) =.35, then P(B) = 43. If P(A) =.6, P(B) =.63, and P(A and B) =.73, then P(A or B) = 44. Two events A and B are said to be independent if: A. P(A and B) = P(A). P(B) B. P(A and B) = P(A) + P(B) C. P(A B) = P(B) D. P(B A) = P(A) 45. Two events A and B are said to mutually eclusive if: A. P(A B) = 1 B. P(B A) =1 C. P(A and B) = 1 D. P(A and B) = Multiple-Choice Chapter #5 26. Which of the following probability eperiments would result in a discrete random variable? A. Observing the number of minutes required to walk a mile B. Observing the number of light bulbs burned out on a display sign C. Observing the number of inches tall of second grade students D. Observing the number of pounds in each of 15 bags of apples 27. Which of the following would not be a continuous random variable? A. Age of student upon graduation from college. B. Number of attempts to make a field goal in football. C. Number of miles driven on a trip. D. Body temperature of small children. 6 7 P = for = 2, 3, 4, 5,, 12. What is P(6<<8)? 36 A. 5/36 B. 6/36 C. 1/36 D. 16/ Consider the probability function ( ) 29. Given that the chance for the numbers 1 through 6 are equally likely, what is P( <2)? 4

5 A. 1/2 B. 1/3 C. 1/6 D. Cannot be determined since we do not know the probability for each number. 3. If a student inadvertently interchanged the values of p and q in a binomial probability eperiment, which of the following would give the probability of successes? A. n p q n B. n p n q n C. n p n q D. Fn HG I K J pq 31. Consider the data in the table, which answer is not true? P() A. This is a probability distribution. B. The histogram of this distribution is skewed to the right. C. The random variable is discrete. D. P( 3) = In a binomial probability eperiment with P(success) = p, P(failure) = q, and eight trials, what is the probability of three successes? A. 5p 3 q 5 B. 5p 5 q 3 C. 56p 3 q 5 D. 56p 5 q The binomial coefficient equals which of the following? 3 A. 1!/3! B. 12 C. 72 D Which of the following is NOT true regarding the binomial distribution for n=5 and p=. 4? A. The mean equals 25. B. The variance equals.24. C. The highest probability occurs for = 5. D. The distribution is not symmetrical. 37. For a binomial distribution with five trials and equal probability of success per trial, what is the highest probability? A..2 B..2% C. 5% D A tree diagram is constructed for the eperiment of tossing a coin three times. If represents the number of tails in the three tosses, how many branches are assigned the value = 3? A. B. 1 C. 2 D Suppose that the value of n in a binomial distribution is fied, but we let the value of p vary. As the value of p increases from values near to values close to 1, what conclusion can be made about the mean of the distribution. A. The mean will decrease in value and become closer in value to. B. The mean will increase in value and become closer in value to n. C. The mean will not change in value. D. No conclusion can be made about the value of the mean. 5

6 Multiple-Choice Chapter #6 31. The distribution that has a mean of zero and a standard deviation of one is called the A. binomial probability distribution B. frequency distribution C. standard normal distribution D. uniform distribution 33. The random variable is normally distributed with a mean of 75 and a standard deviation of 15.. For this distribution, the twenty-third percentile, P 23, is A B C D If is a normally distributed random variable with a standard score of z, a mean ofµ, and a standard deviation of σ, then is: A. ( z µ ) / σ B. ( z σ ) / µ C. µ σ z D. + z µ σ 35. What is the value for z(.67)? 37. If the random variable z is the standard normal score, which of the following probabilities could easily be determined without referring to a table? A. P(z > 2.86) B. P(z < ) C. P(z < 1.82) D. P(z >.5) 39. Using the symbolic notation z (α), identify the value for α. A. z(.291) B. z(.29) C. z(.81) D. z(.79).291 z 4. If the random variable z is the standard normal distribution, then z(.75) is equal to A. P 25 for the distribution. B. P 5 for the distribution. C. P 75 for the distribution. D Using the symbolic notation z (α), identify the value for α. A. z(.164) B. z(.23) C. z(.564) D. z(.74) 44. The area under the normal curve between z =. and z = 2. is 45. The area under the normal curve between z = -1. and z = -2. is Multiple-Choice Chapter #7 18. Assume that you have repeatedly taken samples of size 5 from a population of 3. What can be said about the individual sample means? A. They will be the population mean. B. They will vary, but be close to the population mean. C. The mean of the means will equal zero. D. The mean will equal For a sampling distribution of sample means, σ is equal to A. σ B. σ / n C. s D. σ / n.27 z 6

7 22. A normal distributed population has a mean of 25 pounds and a standard deviation of 1 pounds. Given n = 2, what is the probability that this sample will have a mean value between 245 and 255 pounds? 23. If all possible random samples of size n are taken from a population, and the mean of each sample is determined, what can you say about the mean of the sample means? A. It is larger than the population mean B. It is eactly the same as the population mean C. It is smaller than the population mean D. None of the above 24. As the size of the sample increases, what happens to the shape of the sampling distribution of sample means? A. Becomes positively skewed B. Becomes negatively skewed C. Becomes uniformly distributed D. Becomes approimately normal 25. As the sample size increases, what happens to the standard error of the mean ( σ )? A. Increases B. Decreases C. Remains the same D. Becomes negative 26. If all possible random samples of size n are taken from a population that is not normally distributed, and the mean of each sample is determined, what can you say about the sampling distribution of sample means? A. It is positively skewed B. It is negatively skewed C. It is approimately normal provided that n is large enough D. None of the above 27. Which of the following statements about the Central Limit Theorem (CLT) is correct? A. The sample mean is always equal to the population meanµ. B. The sampling distribution of sample means is approimately normal for large sample sizes. C. The sample mean is equal to the population meanµ for large sample sizes. D. The sampling distribution of the population mean µ is approimately normal, provided that sample size is large enough. E. Only (C) and (D) are correct. 28. Consider a large population with a mean of 1 and a standard deviation of 21. A random sample of size 36 is taken from this population. The standard error of the sampling distribution of sample mean is equal to: 29. If the standard deviation of the sampling distribution of sample means is 5. for samples of size 16, then the population standard deviation must be 3. If all possible samples of size n are taken from a large population with a mean of 3 and a standard deviation of 5, then the standard error of sample means equals 1. only for samples of size Multiple-Choice Chapter #8 26. When estimating a population mean with a confidence interval estimate, then E is: A. equal to the level of confidence B. one-half the width of the confidence interval C. a multiple of the population mean D. a multiple of the population standard deviation 27. Suppose you selected 2 different samples from a large population and used each sample to construct a.95 confidence interval estimate for the population mean. How many of the 2 confidence interval estimates should you epect to actually contain the population meanµ? A. 2 B. 19 C. 1 D What value is always located at the center of a confidence interval forµ? A. E B. µ C. D. σ 7

8 29. You are constructing a 95 % confidence interval using the information: n = 6, = 65.5, s = 2.5, and E =.7. What is the value of the middle of the interval? A..7 B. 2.5 C..95 D You have failed to reject the null hypothesis when it is false, and therefore you have made a A. Type A correct decision B. Type B correct decision C. Type I error D. Type II error 32. Which of the following is the name given to rejecting the null hypothesis when it is true? A. Type A correct decision B. Type B correct decision C. Type I error D. Type II error 36. Which of the following is the probability of making a Type I error? A. α B. 1 α C. β D. 1 β 38. Which of the following is the probability of making a Type II error? A. α B. 1 α C. β D. 1 β 42. In a particular hypothesis test, the p-value is.211. What must be true of α in order to reject the null hypothesis? A. α >. 211 B. α. 211 C. α <. 211 D. α You have conducted a hypothesis test and found that p =.4. Based on this information you know that you cannot reject the null hypothesis if A. α <.4. B..4. C. α.4. D. α In the classical approach to hypothesis testing, we use an asterisk * to identify which of the following? A. The level of significance B. The value of the parameter stated in the null hypothesis C. The critical value D. The computed value of the test statistic 45. Which of the following would be the correct hypotheses for testing the claim that the mean life of a battery for a cellular phone while the phone is left on is less than 24 hours? A. H : µ = 24, H a : µ 24 B. H : µ = 24( ), H a : µ < 24 C. H : µ = 24( ), H a : µ > 24 D. H : µ > 24, H a : µ Which of the following would be the null hypothesis in testing the claim that the mean GPA of all college graduates majoring in computer science in U.S. colleges is different from 3.14? A. H : µ= 3.14 B. B. H : µ= 3.14( ) C. H : µ= 3.14( ) D. H : µ Which of the following would be the correct hypotheses for testing the claim that the mean monthly rainfall in Toledo daily during April is no less than 2.5 inches? A. H : µ = 2.5, H a : µ 2.5 B. H : µ = 2.5( ), H a : µ < 2.5 C. H : µ = 2.5( ), H a : µ > 2.5 D. H : µ > 2.5, H a : µ = 2.5( ) 48. Which of the following would be the alternative hypothesis in testing the claim that the mean distance students commute to campus is no more than 7.1 miles? H A. H a : µ 7.1 B. a : 7.1 H µ< C. H : µ> 7.1 D. D. : µ= 7.1( ) 49. Which of the following would be the correct hypotheses for testing the claim that the mean cost of a meal at a fast food restaurant is less than $3.79? A. H : µ = 3.79, H a : µ 3.79 B. H : µ = 3.79( ), H a : µ < 3.79 C. H : µ = 3.79( ), H a : µ > 3.79 D. H : µ > 3.79, H a : µ = 3.79( ) a a 8