2) A study was conducted to determine how people get jobs. Four hundred subjects were randomly selected and the results are listed below.

Transcription

1 Take Home Test 2 STA 2023 DUE _ Nmne _ Provide an appropriate response. 1) The heights (in inches) of 30 adult males are listed below. Construct a dot plot for the data ~ 71 ro ~ ~ ~ ~ n ro ~ 2) A study was conducted to determine how people get jobs. Four hundred subjects were randomly selected and the results are listed below. Job Sources of Survey Respondents Newspaper want ads Online services Executive search firms Mailings Networking Frequency Construct a pie chart of the data. 3) A safety engineer wishes to use the following data to show the number of deaths from the collision of passenger cars with trucks on a particular highway. Use a time series chart to display the data. Describe any trends shown. Year Number of Deaths

2 4) Use the histogram below to approximate the mode heart rate of adults in the gym. Heart Rates of Adults [; 30 ~ 25 ::l 0" 20 Q) Li: I Heart rate (beats per minute) A) 55 B) 70 C)42 D) 2 5) Find the mean, median, and mode of the following numbers: ) A student receives test scores of 62, 83, and 91. The student's final exam score is 88 and homework score is 76. Each test is worth 20% of the final grade, the final exam is 25% of the final grade, and the homework grade is 15% of the final grade. What is the student's mean score in the class? A) 80.6 B) 76.6 C) 85.6 D) 90.6 Approximate the mean of the grouped data. 7) Weight (in pounds) Frequency A) 148 B) 12 C) 146 D) 144 Provide an appropriate response. 8) What is the difference between using ~ and x to represent a mean? 9) The lengths of phone calls from one household (in minutes) were 2,4,6,7, and 8 minutes. Find the midrange for this data. A) 2 minutes B) 5 minutes C) 10 minutes D) 6 minutes 10) The cost of five homes in a certain area is given. $147,000 $155,000 $175,000 $145,000 $1,225,000 Which measure of central tendency should be used? A) mode B) mean C) median D) midrange 2

3 11) The grade point averages for 10 students are listed below. Find the range of the data set A) 1.4 B) 2.45 C) 3.2 D) ) Find the sample standard deviation A) 6.3 B) 2.1 C) 6.8 D) ) You are the maintenance engineer for a local high school You must purchase fluorescent light bulbs for the classrooms. and a = 250 hours? Should you choose Type A with!..i = 3000 hours and a = 200 hours, or Type B with!..i = 3000 hours 14) The mean IQ score of adults is 100, with a standard deviation of 15. Use the Empirical Rule to find the percentage of adults with scores between 70 and 130. (Assume the data set has a bell-shaped distribution.) A) 99.7% B) 95% C) 68% D) 100% 15) The mean score of a placement exam for entrance into a math class is 80, with a standard deviation of 10. Use the Empirical Rule to find the percentage of scores that lie between 60 and 80. (Assume the data set has a bell-shaped distribution.) A) 34% B) 95% C) 47.5% D) 68% 16) The mean score of a competency test is 82, with a standard deviation of 2. Between what two values do about 99.7% of the values lie? (Assume the data set has a bell-shaped distribution.) A) Between 74 and 90 B) Between 80 and 84 C) Between 78 and 86 D) Between 76 and 88 17) Heights of adult women have a mean of 63.6 in. and a standard deviation of 2.5 in. Does Chebyshev's Theorem say about the percentage of women with heights between 58.6 in. and 68.6 in.? 18) In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile. The data is listed below. Compute the coefficient of variation ) The test scores of 30 students are listed below. Find the five-number summary A) Min = 31, Q1 = 58, Q2 = 70, 03 = 83, Max = 99 C) Min = 31, Q1 = 58, Q2 = 72, 03 = 83, Max = 99 B) Min = 31, Q1 = 57, Qz = 70, 03 = 81, Max = 99 D) Min = 31, Q1 = 57, Qz = 72, 03 = 81, Max = 99 3

4 20) Use the box-and-whisker plot below to determine which statement is accurate ", tlf--r Cholesterol (in milligrams per deciliter) A) About 25% of the adults have cholesterol levels of at most 211. B) One half of the cholesterol levels are between 180 and 211. C) About 75% of the adults have cholesterol levels less than 180. D) One half of the cholesterol levels are between 180 and ) Find the z-score for the value 55, when the mean is 58 and the standard deviation is 3. A) z = B) z = 0.90 C) z = D) z = ) Test scores for a history class had a mean of 79 with a standard deviation of 4.5. Test scores for a physics class had a mean of 69 with a standard deviation of 3.7. Suppose a student gets a 83 on the history test and a 84 on the physics test. Calculate the z-score for each test. On which test did the student perform better? 23) The test scores of 30 students are listed below. Find P A) B) 67 C) 63 D) 90 24) In a data set with a minimum value of 54.5 and a maximum value of 98.6 with 300 observations, there are 186 points less than Find the percentile for A) 53 B) 62 C) 71 D) 68 25) A student's score on the SAT-1 placement test for U.S. history is in the 90th percentile. What can you conclude about the student's test score? 26) A single six-sided die is rolled. Find the probability of rolling a number less than 3. A) 0.5 B) 0.25 C) 0.1 D) ) A study of 1000 randomly selected flights of a major airline showed that 769 of the flights arrived on time. What is the probability of a flight arriving on time? A) 1000 B) C) D) ) If one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing a heart? A)~ B)~ C)l O)~

5 29) The data in the table represent the number of consumer complaints against major U.S. airlines. If one complaint from the table is randomly selected, find the probability that it was filed against Northwest Airlines. Airline United Northwest Continental Number of Complaints ) Use the following graph, which shows the types of incidents encountered with drivers using cell phones, to find the probability that a randomly chosen incident involves cutting off a car. Round your answer to three decimal places. (J) cq) 50 "C <..> c ~ Q).0 20 E ~ 10 z Driving and Cell Phone Use Swerved Sped Cut off Almost up a car hit a car I I Incident 31) Use the pie chart, which shows the number of Congressional Medal of Honor recipients in the United States, to find the probability that a randomly chosen recipient served in the Navy. Medal of Honor Recipients Coast Guard 1 Army ) Which of the following cannot be a probability? A)~ 3 B)O C) -68 D) ) Explain why the following statement is incorrect: He gave 110% effort. 5

6 34) Classify the events as dependent or independent. The events of getting two aces when two cards are drawn from a deck of playing cards and the first card is replaced before the second card is drawn. A) dependent B) independent 35) Classify the events as dependent or independent. The events of getting two aces when two cards are drawn from a deck of playing cards and the first card is not replaced before the second card is drawn. A) independent B) dependent 36) A group of students were asked if they carry a credit card. The responses are listed in the table. Credit Card Not a Credit Card Class Carrier Carrier Total Freshman Sophomore Total If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places. A) B) C) D) ) A group of students were asked if they carry a credit card. The responses are listed in the table. Credit Card Not a Credit Card Class Carrier Carrier Total Freshman Sophomore Total If a student is selected at random, find the probability that he or she is a freshman given that the student owns a credit card. Round your answers to three decimal places. A) B) C) D) ) A group of students were asked if they carry a credit card. The responses are listed in the table. Credit Card Not a Credit Card Class Carrier Carrier Total Freshman Sophomore Total If a student is selected at random, find the probability that he or she is a sophomore and owns a credit card. Round your answers to three decimal places. A) B) C) D)

7 Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted. 39) The table below describes the smoking habits of a group of asthma sufferers. Light Heavy Nonsmoker smoker smoker Total Men Women Total If one of the 1059 subjects is randomly selected, find the probability that the person chosen is a nonsmoker given that it is a woman. Round to the nearest thousandth. A) B) C) D) ) The table below describes the smoking habits of a group of asthma sufferers. Light Heavy Nonsmoker smoker smoker Total Men Women Total If one of the 958 subjects is randomly selected, find the probability that the person chosen is a woman given that the person is a light smoker. Round to the nearest thousandth. A) B) C) D) Perform the indicated calculation. B)5 C)1 D) ) 8 C 3 A) 3 B) 112 C) 56 D) 120 B) 0.16 C) D) Provide an appropriate response. 44) The access code to a house's security system consists of eight digits. How many different codes are available if each digit can be repeated? A) 100,000,000 B) 16,777,216 C) 8 D) ) A delivery route must include stops at four cities. How many different routes are possible? A) 16 B) 4 C) 256 D) 24 46) A certain code is a sequence of 6 digits. What is the probability of generating 6 digits and getting the code consisting of 1,2,3,...,6 if each digit can be repeated? 47) In the California State lottery, you must select six numbers from fifty-two numbers to win the big prize. The numbers do not have to be in a particular order. What is the probability that you will win the big prize if you buy one ticket? 7

8 Provide a written description of the complement of the given event. 48) When 100engines are shipped, all of them are free of defects. A) All of the engines are defective. B) At least one of the engines is defective. C) At most one of the engines is defective. D) None of the engines are defective. 49) When several textbooks are edited, none of them are found to be free of errors. A) At most one of the textbooks is free of errors. B) At least one of the textbooks is free of errors. C) One of the textbooks is free of errors. D) All of the textbooks are free of errors. Find the indicated probability. Round to the nearest thousandth. 50) An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer. A) B) C) D) ) A study conducted at a certain college shows that 55% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 7 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating. A) B) C) D)