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QUESTION 1 1. Adult Americans were asked if they felt that food packaging labels were truthful. Sixty-seven percent felt that food packaging labels were truthful. If 90 adult Americans were randomly surveyed, what is the probability that 62 or fewer people felt that food packaging labels were truthful? Is this event unusual? a. 0.0844, unusual b. 0.3145, unusual c. 0.3145, not unusual d. 0.6855, not unusual e. 0.6014, not unusual 5 points QUESTION 2 1. Choose the best answer. Approximately 60% of all computer programmers are introverts (Source: A Guide to the Development and Use of the Myers-Briggs Type Indicator, by Myers and McCaulley). In a group of 5 computer programmers, what is the probability that more than two are introverts? The Neckware Association of America reported that 2.5% of ties sold in the United States are bow ties. Suppose three people who bought ties are randomly selected, what is the probability that they bought a bow tie? At Hopewell Electronics, all 140 employees were asked about their political affiliations. The employees were grouped by type of work, as executives or production workers. The results are shown in the table below. Suppose an employee is selected at random from the 140 Hopewell employees. What is the probability that if a person is chosen at random their political affiliation is Democrat? Political Affiliation Employee Type Democrat Republican Independent Executive 5 34 9 Production Worker 63 21 8 At Hopewell Electronics, all 140 employees were asked about their political affiliations. The employees were grouped by type of work, as executives or production workers. The results are shown in the table below. Suppose an employee is selected at random from the 140 Hopewell employees. What is the probability that if a person is chosen at random they are an executive? Political Affiliation Employee Type Democrat Republican Independent Executive 5 34 9 Production Worker 63 21 8 At Hopewell Electronics, all 140 employees were asked about their political affiliations. The employees were grouped by type of work, as executives or production workers. The results are shown in the table below. Suppose an employee is selected at random from the 140 Hopewell employees. What is the probability that if a person is chosen at random they are a Democrat or an executive? Political Affiliation Employee Type Democrat Republican Independent Executive 5 34 9 Production Worker 63 21 8 At Hopewell Electronics, all 140 employees were asked about their political affiliations. The employees were grouped by type of work, as executives or production workers. The results are shown in the table below. Suppose an employee is selected at random from the 140 Hopewell employees. What is the probability that if a person is chosen at random they are a Democrat and an executive? Political Affiliation Employee Type Democrat Republican Independent Executive 5 34 9 Production Worker 63 21 8 At Hopewell Electronics, all 140 employees were asked about their political affiliations. The employees were grouped by type of work, as executives or production workers. The results are shown in the table below. Suppose an employee is selected at random from the 140 Hopewell employees. What is the probability that if a person is chosen at random they are a Democrat given that they are an executive? Political Affiliation Employee Type Democrat Republican Independent Executive 5 34 9 Production Worker 63 21 8 a. 0.4857 b. 0.5217 c. 0.1665 d. 0.6571 e. 0.0357 f. 0.8286 g. 0.3429 h. 0.1042 i. 0.3174 j. 0.01563 k. 0.6826 l. 0.00001563 m. 0.7929 n. 0.0735 35 points QUESTION 3 1. Choose the best answer. A new business had the following monthly net gains: $8492 $2850 $3799 $7268 $7186 $3279 $1200 $6681 $4663 $4836 Calculate the mean net gain. Frank’s Furniture employees earned the following amounts last week: $351.96 $195.35 $219.93 $492.35 $544.40 $250.90 $363.64 $455.08 $286.12 What was the median amount earned by an employee last week? Frank’s Furniture employees earned the following amounts last week: $351.96 $195.35 $219.93 $492.35 $544.40 $250.90 $363.64 $455.08 $286.12 What is the IQR for this data set? To get the best deal on a microwave oven, Jeremy called six appliance stores and asked the cost of a specific model. The prices he was quoted are listed below: $119 $488 $227 $644 $344 $266 Compute the range. The manager of an electric supply store measured the diameters of the rolls of wire in the inventory. The diameters of the rolls (in m) are listed below. Calculate the standard deviation. 0.523 0.139 0.466 0.403 0.343 0.13 0.482 The weights of female athletes is normally distributed with a mean of 133 lbs and a standard deviation of 17 lbs. What percentage of female athletes can you expect to be between 116 and 167 lbs? A study conducted at a certain college shows that 53% of the school’s graduates find a job in their chosen field within a year after graduation. Find the probability that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating. a. 68% b. 0.0261 c. 0.9771 d. 0.9582 e. 0.0418 f. 95% g. 97.35% h. 349.05 i. 238.30 j. 5025.40 k. 83.85% l. 351.08 m. 81.5% n. 351.96 o. 0.1615 p. 0.0229 q. 525 35 points QUESTION 4 1. Choose the best answer. Suppose that a random sample of 200 light bulbs has a mean life of 600 hours and a standard deviation of 53 hours. Assuming that the life of light bulbs is normally distributed, then 99.7% of light bulbs will have lifetimes in what range? Suppose that a random sample of 200 light bulbs has a mean life of 600 hours and a standard deviation of 53 hours. Assuming that the life of light bulbs is normally distributed, then what percentage of light bulbs will have a life between 494 and 706 hours? Suppose that a random sample of 200 light bulbs has a mean life of 600 hours and a standard deviation of 53 hours. Assuming that the life of light bulbs is normally distributed, then what percentage of light bulbs will last less than 441 hours? Find the expected value for the given probability distribution. x P(x) 0 0.19 1 0.28 2 0.14 3 0.26 4 0.13 Find the standard deviation for the given probability distribution. x P(x) 0 0.19 1 0.28 2 0.14 3 0.26 4 0.13 According to a college survey, 22% of all students work full time. Find the mean for the number of students who work full time in samples of size 16. According to a college survey, 22% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 16. a. 0.15% b. 1.80 c. 1.657 d. 494 to 706 hours e. 1.34 f. 99.7% g. 95% h. 68% i. 3.52 j. 2.35% k. 2.746 l. 2.5% m. 441 to 759 hours n. 1.86 o. 0.3% p. 2 q. 547 to 653 hours 35 points QUESTION 5 1. Choose the best answer. A contractor is considering a sale that promises a profit of $37,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $18,000 with a probability of 0.3. What is the expected profit? Assume that women’s heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If one woman is randomly selected, find the probability that she has a height between 62.9 inches and 64.0 inches In a study, 44% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Among 12 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 12 adults are randomly selected, 3 or fewer are in excellent health. The amount of snow falling in a certain mountain region is normally distributed with a mean of 76 inches, and a standard deviation of 14 inches. What is the probability that the annual snowfall of a randomly picked year will be 78.8 inches or less? IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. In a random sample of 9000, approximately how many people will have IQs between 85 and 120? A bank’s loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find P60, the score which separates the lower 60% from the top 40%. 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 a Chevrolet Cavalier is randomly selected, find the probability that its rebuild time exceeds 8.7 hours. Assume normality. a. 0.5662 b. 20,500 c. 0.1502 d. 0.8262 e. 25,204.17 f. 0.1015 g. 0.1738 h. 0.1502 i. 31,300 j. 0.5793 k. 7501 l. 0.4338 m. 212.67 n. 6752 o. 0.4867 p. 187.33 q. 0.4207 1. The following data represent the percentage of people without health insurance for some of the 50 states and the District of Columbia in 2009. (Source: Gallup) 8.6 10.6 13.0 15.5 18.1 19.4 22.2 9.2 10.9 13.3 15.9 18.3 18.6 21.2 10.5 19.6 25.0 9.6 10.9 13.4 15.9 18.3 19.7 9.6 11.3 13.9 16.1 12.3 14.7 16.2 18.4 20.6 9.7 11.4 14.0 16.1 18.4 21.1 10.2 11.6 14.3 16.1 18.7 21.3 a) Graph the histogram for the dataset. (15 points) b) What is the measure of center for this distribution and what is its value? Why did you use this measurement? (6 points) c) What is the measure of variation for this distribution and what is its value? Why did you use this measurement? (6 points) 2. The following table show the countries that are most frequently visited by tourists from other countries according to Travel and Leisure magazine. Make a pie chart for the data. (16 points) Country (in millions) France China Spain United States Italy United Kingdom Canada Mexico Number of Visits 77.0 53.4 51.8 41.9 39.8 24.2 20.1 19.7 Most Visited Countries 3. The following data represent the pulse rate of ten randomly selected females stepping up and down on a 6-inch platform for 3 minutes. Pulse is measured in beats per minute. 136 169 120 128 129 143 115 146 96 86 Are there any potential outliers? Show work. (13 points) 4. The number of college credits completed by a sample of 40 students is shown below. 9 91212181819202730333537394243 45 47 50 52 53 56 57 57 60 64 65 66 70 72 73 76 80 84 90 92 103 106 109 120 Construct a stem and leaf plot for this data. (10 points) 5. In a national survey conducted by the Centers for Disease Control to determine health-risk behaviors among college students, college students were asked, “How often do you wear a seat belt when driving a car?” The frequencies were as follows: Response I do not drive a car 247 Never 118 Rarely 249 Sometimes 345 Most of the time 716 Always 3093 Construct a Pareto chart for this data set. (6 points) 6. A phlebotomist draws the blood of a random sample of 50 patients and determines their blood types as shown: (FYI: Blood types are either A, B, O, or AB.) O O A A O B O B A O AB B A B AB O A B A A O A O O A O AB O O A A O O AB A O O O A A O A O A B A A O O O Construct a frequency and relative frequency table for this data. (8 points) 7. The weights (in pounds) of 30 newborn babies are listed below. Determine the 5-number summary and construct a boxplot for the data set. Show all required work as shown in the textbook and lecture notes. (20 points) 5.5 5.7 5.8 5.9 6.1 6.1 6.3 6.4 6.5 6.6 6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2 7.4 7.4 7.5 7.5 7.6 7.9 8.1 8.1 8.3 9.3

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Question 1

Adult Americans were asked if they felt that food packaging labels were truthful. Sixty-seven percent felt that food packaging labels were truthful. If 90 adult Americans were randomly surveyed, what is the probability that 62 or fewer people felt that food packaging labels were truthful? Is this event unusual?

d. 0.6855, not unusual

1
a) Histogram
b) As the distribution is skewed, median can be used as the measure of center.
c) As the distribution is skewed, interquartile range can be used as the measure of variation....
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