Math 221, REVIEW, Instructor: Susan Sun Nunamaker

Transcription

1 Math 221, REVIEW, Instructor: Susan Sun Nunamaker Good Luck & Contact me through through if you have any questions. 1. Bar graphs can only be vertical. a. true b. false 2. For the data 6, 9, 10, 12, 15, 18, 20, 28, 60, 80, which of the following measures would be changed if the 80 were changed to 90? a. mean b. median c. Q1 d. mode 3. The relationship between variance and standard deviation is: a. the variance is the square of the standard deviation b. the variance is the square root of the standard deviation c. the variance is equal to standard deviation d. there is no definite/constant relationship between variance and standard deviation 4. Probability will always be between: a % b % c d A die is rolled, what is the chance of 5 or 6 to appear? a b c d Two dies were rolled. What is the chance that at least one 5 will appear? a. 1/36 b. 1/12 c. 1/3 d. 11/36 7. What do mutually exclusive events mean? a. A B 0 b. A B 0 c. A B 0 d. A B 1

2 Questions 8-11, please categorize the style of data gathering for each situation: a. sampling b. experimenting c. simulation d. census 8. Consider all students enrolled at your college this semester and record the age of each student 9. Select a sample of new F10 pickup trucks and count the number of manufacturer defects in each of the trucks 10. Use computer graphics to determine the flight path of a golf ball when the position of the hand on the golf club is changed 11. Teach one section of English composition using a specific word processing package and teach another without using any computerized word processing. Count the number of grammar errors made by students in each section on a final draft of a 20-page term paper. 12. Which is the lowest level of measurement? a. ratio data b. interval data c. nominal data d. ordinal data 13. Which level of measurement is equated with/to labels/categories a. ratio data b. interval data c. nominal data d. ordinal data 14. Which is equated to 50th percentile? a. mean b. median c. mode d. Q1 15. The median is more likely to be affected by extreme values than the mean a. true b. false 16. Which measure is not included in the 5-number summary Box-and-Whisker Plot? a. median b. Q1 c. mean d. lowest value e. Q3 2

3 17.. Which type of graph is often used in quality control programs to detect most commonly occurring problem? a. pie graph b. pareto chart c. time plot d. histogram Questions 18-23, ATA and Proline are two stocks traded on the New York Stock Exchange. For the past six weeks you recorded the Friday closing price (dollars per share): ATA: 19.0, 18.0, 21.0, 22.0, 21.0, 23.0 Proline: 6.2, 6.2, 6.9, 6.2, 7.2, Find the mean for Proline: a b c. 6.2 d Find the mode for Proline: a. 18 b. 21 c d Find the median for ATA: a b. 21 c. 6.2 d Find the sample standard deviation and sample variance for ATA a. 1.86;3.47 b. 3.47;1.86 c. 1.7;2.89 d. 0.31; Find the range of Proline: a. 5 b. 1.2 c d Find the coefficient of variation for ATA: a b c. 9.05% d. 8.27% 24. Which of the following is included in inference statistics? I. polls II. surveys III. results of a class test a. I b. I and II c. I and III d. all of the above 25. Which of the following statement (s) is(are) biased? I. A teacher grades essays from his/her class II. The same test is given to all students in a math class III.Anita did a survey of the population by asking her friends some questions a. I b. I and III c. I and II d. II 26. Outlier is a term describing extreme values in a set of data. 27. In an unsorted/unordered list of 11 numbers, the median is always the 6th number from either end of the list 3

4 Questions Ten students took an aptitude test in technical electronics. There were 1000 possible points. The scores were as follows: Find the median of all ten scores: a. 348 b. 351 c d Compute the 10% trimmed mean: a b c d A die is rolled 3 times. What is the chance/probability that all 3 rolls show 5 or more? a. 1/144 b. 1/27 c. 1/9 d. 1/3 31. The solid line inside the box of the Box-and-Whisker Plot is at level a. median b. mean c. highest value d. lowest value 32. Which of the following measures is unitless: a. sample mean b. sample variance c. standard deviation d. coefficient of variation 33. Ordered pair (x, y) is a data point that specifies on the graph. a. slope b. strength c. y-intercept d. location 34. X usually represents the: a. dependent variable b. response variable c. independent variable d. redundant variable 35. The example of supply of Beanie Babies v. price that we used in class (as the supply goes up, the price goes down.) describes what type of correlation? a. identical correlation b. zero correlation c.positive correlation d. negative correlation 36. Which is the standard equation of a straight line (used in this book:b=slope, a=y-intercept)? 2 a. y ax b b. y bx a 2 c. y=x-ba d. y=bx+a Questions From years of experience fishing for trout in the Yellowstone River, you know that the mean length of trout you catch is 14.7 inches with standard deviation of 1.5 inches. 4

5 37. Use Chebyshev's Theorem to find at least what percentage of the fish you catch will lie in the interval between 8.7 inches to 20.7 inches. a. 75% b. 88.9% c. 93.8% d. 50% 38. Use Chebyshev's Theorem to find an interval for lengths of trout in which at least 75% of the fish you catch will lie. a to inches b to 16.2 inches c to 19.2 inches d. 8.6 to 20.7inches 39. One standard for admission to a particular college is that the student must rank in the upper quartile of his or her graduating high school class. What is the minimal percentile rank of a successful applicant? a. 95 percentile b. 50 percentile c. 75 percentile d. 25 percentile 40. A class is given a test and 30% of students got 60, 40% got 70, 20% got 80, and 10% got 90 If there are 20 students in the class, what is the mean on the test? a. 70 b. 71 c d The idea behind best-fit/least-squares line is to: a. maximize d b. minimize d 2 c. minimize d d. maximize d State four characteristics of binomial experiment. 43. Which term describes predicting y values with given x at the value(s) that are above x values of points in the scattergram? a. interpretation b. extrapolation c. interpolation d. Definition 44. The correlation coefficient, r, value is always between: a b c d

6 45. A contractor planning the purchase of PC's, knowing that there is a 50% chance that each PC can last at least 6 months without any breakdown. If he is purchasing 5 PC's, how many possible outcomes can there be at the end of the 6 month period? a. 8 b. 16 c. 32 d The probability of an impossible event is: a. 100% b. 10% c. 50% d. 0% 47. When is binomial probability distribution formula used? What is it? 48. Which is the pictorial representation of sample spaces and the events within it? a. Venn Diagram b. Scatter Diagram c. Block Diagram d. Pictionary Diagram 49. To compute P(A or B), it is important to first determine if event A and event B are. a. mutually exclusive events b. independent events c. collectively exhaustive events d. impossible events 50. Which of the following is a sample? I. 10 people out of 25 II. 15 people out of 15 III. 100 people out of 500 a. I b. II c. I &III d. I&II&III 51. Continuous probability distribution have curves that are smooth. 52. Write out the equation for mean, given that it is a discrete probability distribution: 53. Write out the equation for standard deviation, given that it is a discrete probability distribtuion: 54. Write the equation for mean of a binomial distribution: 55. Write the equation for standard deviation of a binomial distribution: 6

7 56. Find the z c values for given confidence interval: A. 80% B. 85% C. 90% D. 95% 57. State three features of a normal curve. 58. Convert the following z interval to x interval, given 270, 4, -2 < z < Convert the following x interval to z interval, given 7500, 1750: 3500 < x < Sketch the area under the standard normal curve over the indicated intervals, and find the specified area/probability: Between z= and z= Assume that x has a normal distribution, with the specified mean and standard deviation. Find the indicated probabilities: P( 8 x 12); 15; An insurance company wants to know the proportion of medical doctors in New York involved in at least one malpractice suit in the last three years. They surveyed a random sample of 200 medical doctors in New York. What is the population and what is the sample? 63. How do you estimate what the class width would be? 64. If the left side of the graph has a longer "tail", leaving a greater proportion of data at the right end, the shape of this distribution is: a. symmetric b. uniform c. skewed left d. skewed right 7

8 65. In a pie graph/chart, if a category/part occupies 35% of the total, it should be represented by degrees of the circle/pie. a. 126 b. 108 c. 90 d Which of the following is unitless? a. range b. standard deviation c. coefficient of variation d. mean 67. Mean is a more resistant measure than the median. 68. If 25% of the class have scores below Joe's, what percentile is Joe's score? a. 25 percentile b. 75 percentile c. 50 percentile d. 100 percentile 69. Interquartile range is: a. Q 3 b. Q1 Q3 c. Q3 Q1 d. Q Q Which part of the equation of a line gives us steepness of the line? a. y-intercept b. x-intercept c. slope d. y value What is:,,, s, s, x? 72. When computing P( A and B ), what is being applied? a. addition rule b. subtraction rule c. multiplication rule d. division rule 73. Permutation calculation would result in a larger number than that of combination. 74. The standard deviation of a discrete distribution is, npq. 75. In a binomial experiment, the p 1 q. 76. State the difference between permutation and combination, also indicate their individual equations. 77. In dealing with hypothesis testing, what is Type I error and Type II error? 78. How is the confidence interval of population mean determined? 8

9 79. State the claim, null hypothesis, and alternative hypothesis of<a cereal company claims that the weight of its contents of its 20 ounce size cereal boxes is more than 20 ounces.> 80. In estimating the confidence interval for population mean, how do you determine the maximum error of estimate for: a. n 30, normal, known b. n 30, normal, unknown c. n 30, normal, known d. n 30, normal, unknown e. n 30, notnormal, unknown 81. Statistically, 85% of graduates of a particular high school continue on to college. In a group of 12 students selected at random from this high school, what is the probability that: A. At least six will attend college. B. At most three will attend college. C. Four students will attend college. 82. What is the range of correlation coefficient? What indicates the strength of correlation coefficient? 83. What is IQR? 84. What is box-and-whisker plot? 85. In hypothesis testing, go through the necessary steps: a. determine the claim, null hypothesis, alternative hypothesis: b. determine type of hypothesis test: left-tailed, right-tailed, two-tailed c. with given and determined hypothesis test, determine the P or critical Z value d. evaluate the test statistic Z value e. compare the test statistic Z vs. critical Z or P vs. values to determine if null hypothesis should be rejected f. interpret the result 9

10 *Remember, I can be reached via <susan@nunamaker.com> if you have any more questions. 10