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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Identify the abuse of statistics. 1) You plan to make a survey of 200 people. The plan is to talk to every 10th person coming out of the school library about parking at KSU. Is there a problem with your plan?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Identify the number as either continuous or discrete. 2) The number of cars passing a busy intersection between 430 P.M. and 630 P.M. on a Monday is 2,200. A) Continuous B) Discrete Find the mean for the given sample data. 3) The local Tupperware dealers earned these commissions last month $ 3157.53 $ 2691.43 $ 4429.39 $ 1673.99 $ 1248.89 $ 4111.29 $ 1912.03 $ 3004.41 $ 3552.44 $ 4055.69 What was the mean commission earned? Round your answer to the nearest cent. A) $ 3315.23 B) $ 3729.64 C) $ 2977.71 D) $ 2983.71
Find the median for the given sample data. 4) The weights (in ounces) of 21 cookies are shown. Find the median weight. 0.86 1.42 0.66 1.62 0.73 0.77 1.37 1.42 1.53 0.93 0.86 1.04 1.44 0.69 0.47 1.04 0.77 1.44 1.72 0.73 0.56 A) 0.93 ounces B) 0.81 ounces C) 0.69 ounces D) 1.42 ounces
Find the mode(s) for the given sample data. 5) The weights (in ounces) of 14 different apples are shown below. 4.7 4.0 6.4 6.5 6.1 4.7 4.0 6.2 6.3 6.5 4.7 6.2 6.5 6.0 A) 5.60 B) 4.7 C) None D) 4.7, 6.5 Find the range for the given data. 6) The manager of an electrical supply store measured the diameters of the rolls of wire in the inventory. The diameters of the rolls (in m) are listed below. 0.206 0.114 0.535 0.402 0.639 0.28 Compute the range. A) 0.114 B) 0.074 C) 0.525 D) 0.535 Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. 7) To get the best deal on a CD player, Tom called eight appliance stores and asked the cost of a specific model. The prices he was quoted are listed below $ 330 $ 272 $ 332 $ 440 $ 203 $ 119 $ 129 $ 254 Compute the standard deviation s. A) $ 540,280.1 B) $ 228.5 C) $ 108.9 D) $ 623,235.0 Solve the problem. 8) The heights of the adults in one town have a mean of 67.3 inches and a standard deviation of 3.4 inches. What can you conclude from Chebyshev's theorem about the percentage of adults in the town whose heights are between 60.5 and 74.1 inches? A) The percentage is at least 95% B) The percentage is at most 75% C) The percentage is at least 75% D) The percentage is at most 95% Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth if necessary. 9) A weight of 220 pounds among a population having a mean weight of 167 pounds and a standard deviation of 23.1 pounds. A) 53.1; unusual B) 2.3; unusual C) 2.3; not unusual D) -2.3; not unusual Determine which score corresponds to the higher relative position. 10) Which score has a better relative position, a score of 34.4 on a test for which the mean is 28 and s = 8, or a score of 262.8 on a test for which the mean is 238 and s = 31? A) A score of 262.8 B) A score of 34.4 C) Both scores have the same relative position. Find the indicated probability. 11) A class consists of 87 women and 41 men. If a student is randomly selected, what is the probability that the student is a woman? A) 87/128 B) 41/128 C) 87/41 D) 1/128 12) Of the 81 people who answered "yes" to a question, 6 were male. Of the 70 people that answered "no" to the question, 6 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male? A) 0.576 B) 0.074 C) 0.079 D) 0.616 Is Event B dependent or independent of Event A? 13) P(A) = 0.5, P(B) = 0.4, P(A and B) = 0.2 A) Dependent B) Independent Find the indicated probability. 14) A sample of 4 different calculators is randomly selected from a group containing 18 that are defective and 35 that have no defects. What is the probability that at least one of the calculators is defective? A) 0.180 B) 0.821 C) 0.810 D) 0.179 15) The table below shows the soft drinks preferences of people in three age groups.
If one of the 255 subjects is randomly selected, find the probability that the person drinks root beer given that they are over 40. A) 2/17 B) 2/5 C) 6/17 D) None of the above is correct.
Determine whether the given procedure results in a binomial distribution. If not, state the reason why. 16) Choosing 5 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with replacement, keeping track of the colors of the marbles chosen. A) Not binomial the trials are not independent. B) Not binomial there are too many trials. C) Procedure results in a binomial distribution. D) Not binomial there are more than two outcomes for each trial.
Find the indicated probability. 17) A question on a proficiency test is multiple choice with four possible answers, one of which is correct. Assuming that all responses are random guesses, find the probability that among 12 test subjects, exactly five answer the question correctly. A) 0.082 B) 0.027 C) 0.091 D) 0.103 If Z is a standard normal variable, find the probability. 18) The probability that Z lies between -0.55 and 0.55 A) 0.9000 B) 0.4176 C) -0.4176 D) -0.9000 The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0degreeC at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0degreeC (denoted by negative numbers) and some give readin gs above 0degreeC (denoted by positive numbers). Assume that the mean reading is 0degreeC and the standard deviation of the readings is 1.00degreeC. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. 19) A quality control analyst wants to examine thermometers that give readings in the bottom 4%. Find the reading that separates the bottom 4% from the others. A) -1.48 B) -1.89 C) -1.75 D) -1.63 Solve the problem. 20) A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 7.7 hours. A) 0.8531 B) 0.9931 C) 0.9634 D) 0.9712 Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. 21) The probability that a radish seed will germinate is 0.7. Estimate the probability that of 140 randomly selected seeds, exactly 100 will germinate. A) 0.9331 B) 0.0669 C) 0.0769 D) 0.0679 Solve the problem. 22) Find the critical value t that corresponds to a confidence level of 95% and a sample size of 23. A) 2.069 B) 2.074 C) 1.717 D) 1.714 Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 23) n = 137, x = 69; 90 percent A) ( 0.437, 0.571) B) ( 0.436, 0.572) C) ( 0.432, 0.576) D) ( 0.434, 0.574) Find the necessary sample size. 24) You wish to estimate the mean weight of machine components of a certain type and you require a 92% degree of confidence that the sample mean will be in error by no more than 0.008 g. Find the sample size required. A pilot study showed that the population standard deviation is estimated to be 0.09 g. A) 20 B) 388 C) 16 D) 252 Key
1) Answer People who don't go to the library are excluded. 2) Answer B 3) Answer D 4) Answer A 5) Answer D 6) Answer C 7) Answer C 8) Answer C 9) Answer B 10) Answer C 11) Answer A 12) Answer A 13) Answer B 14) Answer B 15) Answer C 16) Answer D 17) Answer D 18) Answer B 19) Answer C 20) Answer B 21) Answer B 22) Answer B 23) Answer D 24) Answer B
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