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account_balance_wallet $50 ### Question Description The following frequency distribution shows the price per share for a sample of 30 companies listed on the New York Stock Exchange.  Price per Share Frequency$20-29 7 $30-39 5$40-49 4 $50-59 4$60-69 5 $70-79 1$80-89 4

Compute the sample mean price per share and the sample standard deviation of the price per share for the New York Stock Exchange companies (to 2 decimals). Assume there are no price per shares between 29 and 30, 39 and 40, etc.

 Sample mean $Sample standard deviation$

Consider the following data and corresponding weights.

 xi Weight(wi) 3.9 7 3.0 4 3.5 1 3.0 9

a. Compute the weighted mean (to 3 decimals).

b. Compute the sample mean of the four data values without weighting (to 3 decimals).

Consider a sample with data values of 26, 24, 20, 16, 32, 34, 29, and 24. Compute the 20th, 25th, 65th, and 75th percentiles (to 1 decimal, if decimals are necessary).

 20th percentile 25th percentile 65th percentile 75th percentile
In automobile mileage and gasoline-consumption testing, 13 automobiles were road tested for 300 miles in both city and highway driving conditions. The following data were recorded for miles-per-gallon performance.
 City: 17.3 17.8 17 15.5 14.3 16.4 17.9 17.1 17.2 16.4 16.3 16.4 17.3 Highway: 20.9 22.1 19.8 20.1 20.7 18.9 18.7 20.1 20.5 22.6 20.9 20 20.2
Calculate the mean, median, and mode for City and Highway gasoline consumption (to 1 decimal).
 City Highway Mean Median Mode - Select your answer -The mode is 18.3The mode is 20.9The mode is 20.1The data are bimodal: 20.1 and 20.9Item 6

Make a statement about the difference in gasoline consumption between both driving conditions.

The National Sporting Goods Association conducted a survey of persons 7 years of age or older about participation in sports activities (Statistical Abstract of the United States: 2002). The total population in this age group was reported at 248.5 million, with 120.9 million male and 127.6 million female. The number of participants for the top five sports activities appears here.

 Participants (millions) Activity Male Female Bicycle riding 23.7 19.5 Camping 27.1 22.8 Exercise walking 30.2 56.2 Exercising with equipment 18.9 25.9 Swimming 27.9 32.9

1. For a randomly selected female, estimate the probability of participation in each of the sports activities (to 2 decimals). Note that the probabilities do not sum to 1 because of participation in more than one sports activity.
 Bicycle riding Camping Exercise walking Exercising with equipment Swimming

2. For a randomly selected male, estimate the probability of participation in each of the sports activities (to 2 decimals). Note that the probabilities do not sum to 1 because of participation in more than one sports activity.
 Bicycle riding Camping Exercise walking Exercising with equipment Swimming

3. For a randomly selected person, what is the probability the person participates in exercise walking (to 2 decimals)?

4. Suppose you just happen to see an exercise walker going by. What is the probability the walker is a woman (to 2 decimals)?

What is the probability the walker is a man (to 2 decimals)?

The following table provides a probability distribution for the random variable y.

 y f(y) 2 0. 20 4 0. 30 7 0. 40 8 0. 10

a. Compute E(y) (to 1 decimal).

b. Compute Var(y) and σ (to 2 decimals).

 Var(y) σ

Refer to the KP&L sample points and sample point probabilities in Tables 4.2 and 4.3.

 TABLE 4.2 COMPLETION RESULTS FOR 40 KP&L PROJECTS Completion Time (months) Stage 1 Design Stage 2 Construction Sample point Number of Past Projects Having These Completion Times 2 7 ( 2, 7) 6 2 8 ( 2, 8) 4 2 9 (2, 9) 2 3 7 (3, 7) 4 3 8 (3, 8) 6 3 9 (3, 9) 2 4 7 (4, 7) 4 4 8 (4, 8) 4 4 9 (4, 9) 8 Total 40

 Table 4.3 PROBABILITY ASSIGNMENTS FOR THE KP&L PROJECT BASED ON THE RELATIVE FREQUENCY METHOD Sample point Project Completion Time Probability of Sample Point (2, 7) 9 months P(2, 7)=6/40=0.15 (2, 8) 10 months P(2, 8)=4/40=0.1 (2, 9) 11 months P(2, 9)=2/40=0.05 (3, 7) 10 months P(3, 7)=4/40=0.1 (3, 8) 11 months P(3, 8)=6/40=0.15 (3, 9) 12 months P(3, 9)=2/40=0.05 (4, 7) 11 months P(4, 7)=4/40=0.1 (4, 8) 12 months P(4, 8)=4/40=0.1 (4, 9) 13 months P(4, 9)=8/40=0.2 Total 1.00
1. The design stage (stage 1) will run over budget if it takes 4 months to complete. List the sample points in the event the design stage is over budget.

2. What is the probability that the design stage is over budget (to 2 decimal)?

3. The construction stage (stage 2) will run over budget if it takes 9 months to complete. List the sample points in the event the construction stage is over budget.

4. What is the probability that the construction stage is over budget (to 2 decimals)?

5. What is the probability that both stages are over budget (to 2 decimals)?

Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida, during 2005 and 2006 are as follows:

 2005 Season 73 77 78 76 74 72 74 76 2006 Season 70 69 74 76 84 79 70 78
1. Calculate the mean (0 decimals) and the standard deviation (to 2 decimals) of the golfer's scores, for both years.
 2005 Mean Standard deviation 2006 Mean Standard deviation

2. What is the primary difference in performance between 2005 and 2006?

What improvement, if any, can be seen in the 2006 scores?

The probability distribution for the random variable x follows.

 x f(x) 20 0.24 24 0.19 32 0.27 35 0.30
1. Is this a valid probability distribution?

2. What is the probability that x = 32 (to 2 decimals)?

3. What is the probability that x is less than or equal to 24 (to 2 decimals)?

4. What is the probability that x is greater than 32 (to 2 decimals)?
Annual sales, in millions of dollars, for 21 pharmaceutical companies follow.
 8,660 1,415 1,928 9,145 2,533 11,755 626 14,138 6,646 1,906 2,903 1,397 10,813 7,702 4,140 4,471 761 2,191 3,763 5,968 8,554
1. Provide a five-number summary. If needed, round your answer to a whole number.
 Smallest value First quartile Median Third quartile Largest value

2. Compute the lower and upper limits. Enter negative amounts with a minus sign.
 Lower limit Upper limit

3. Do the data contain any outliers?

4. Johnson & Johnson's sales are the largest on the list at $14,138 million. Suppose a data entry error (a transposition) had been made and the sales had been entered as$41,138 million. Would the method of detecting outliers in part (c) identify this problem and allow for correction of the data entry error?

5. Which of the following box plots accurately displays the data set?

 Consider a sample with a mean of 50 and a standard deviation of 4. Use Chebyshev's theorem to determine the percentage of the data within each of the following ranges (to the nearest whole number). 40 to 60, at least %25 to 75, at least %42 to 58, at least %38 to 62, at least %34 to 66, at least %
Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of their responses follows.
 Undergraduate Major Business Engineering Other Totals Intended Enrollment Full Time 420 393 75 888 Status Part Time 402 591 45 1,038 Totals 822 984 120 1,926

1. Develop a joint probability table for these data (to 3 decimals).
 Undergraduate Major Business Engineering Other Totals Intended Enrollment Full-Time Status Part-Time Totals

2. Use the marginal probabilities of undergraduate major (Business, Engineering, or Other) to comment on which undergraduate major produces the most potential MBA students.

3. If a student intends to attend classes full-time in pursuit of an MBA degree, what is the probability that the student was an undergraduate Engineering major (to 3 decimals)?

4. If a student was an undergraduate Business major, what is the probability that the student intends to attend classes full-time in pursuit of an MBA degree (to 3 decimals)?

5. Let A denote the event that student intends to attend classes full-time in pursuit of an MBA degree, and let B denote the event that the student was an undergraduate Business major. Are events A and B independent?

 Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 11 passengers per minute. Compute the probability of no arrivals in a one-minute period (to 6 decimals). Compute the probability that three or fewer passengers arrive in a one-minute period (to 4 decimals). Compute the probability of no arrivals in a 15-second period (to 4 decimals). Compute the probability of at least one arrival in a 15-second period (to 4 decimals).

In automobile mileage and gasoline-consumption testing, 13 automobiles were road tested for 300 miles in both city and highway driving conditions. The following data were recorded for miles-per-gallon performance.

 City: 20.8 21.3 20.5 19 17.8 19.9 21.4 20.6 20.7 19.9 19.8 19.9 20.8 Highway: 24.2 25.4 23.1 23.4 24 22.2 22 23.4 23.8 25.9 24.2 23.3 23.5
Calculate the mean, median, and mode for City and Highway gasoline consumption (to 1 decimal).

 City Highway Mean Median Mode - Select your answer -The mode is 18.3The mode is 24.2The mode is 23.4The data are bimodal: 23.4 and 24.2Item 6

Make a statement about the difference in gasoline consumption between both driving conditions.

 Axline Computers manufactures personal computers at two plants, one in Texas and the other in Hawaii. The Texas plant has 50 employees; the Hawaii plant has 30. A random sample of 10 employees is to be asked to fill out a benefits questionnaire.Round your answers to four decimal places. a. What is the probability that none of the employees in the sample work at the plant in Hawaii? b. What is the probability that 1 of the employees in the sample works at the plant in Hawaii? c. What is the probability that 2 or more of the employees in the sample work at the plant in Hawaii? d. What is the probability that 9 of the employees in the sample work at the plant in Texas?
 The results of a national survey showed that on average, adults sleep 6.9 hours per night. Suppose that the standard deviation is 1 hours. Round your answers to the nearest whole number. Use Chebyshev's theorem to calculate the percentage of individuals who sleep between 4.9 and 8.9 hours.At least %Use Chebyshev's theorem to calculate the percentage of individuals who sleep between 3.9 and 9.9 hours.At least %Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 4.9 and 8.9 hours per day. %How does this result compare to the value that you obtained using Chebyshev's theorem in part (a)?SelectThe empirical rule produces a larger percentage than Chebyshev's theoremChebyshev's theorem produces a larger percentage than the empirical ruleBoth methods produce the same percentageItem 4
Consider the experiment of tossing a coin three times.
1. How many experimental outcomes exist?

2. Let x denote the number of heads occurring on three coin tosses. Show the value the random variable would have for each of the experimental outcomes.
3. Is this random variable discrete or continuous?

 A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 10% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 3% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year. What is the probability an employee will experience a lost-time accident in both years (to 3 decimals)? What is the probability an employee will experience a lost-time accident over the two-year period (to 3 decimals)?

Many students accumulate debt by the time they graduate from college. Shown in the following table is the percentage of graduates with debt and the average amount of debt for these graduates at four universities and four liberal arts colleges.

 University % with Debt Amount($) College % with Debt Amount($) 1 79 32,960 1 83 28,752 2 67 32,160 2 92 29,000 3 58 11,221 3 53 10,203 4 64 11,853 4 44 11,013

a. If you randomly choose a graduate of College 2, what is the probability that this individual graduated with debt (to 2 decimals)?

b. If you randomly choose one of these eight institutions for a follow-up study on student loans, what is the probability that you will choose an institution with more than 90% of its graduates having debt (to 3 decimals)?

c. If you randomly choose one of these eight institutions for a follow-up study on student loans, what is the probability that you will choose an institution whose graduates with debts have an average debt of more than $23,000 (to 3 decimals)? d. What is the probability that a graduate of University 1 does not have debt (to 2 decimals)? e. For graduates of University 1 with debt, the average amount of debt is$ 32,960. Considering all graduates from University 1, what is the average debt per graduate? Round to nearest dollar.
$ Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, ..., E7 denote the sample points. The following probability assignments apply:P(E1) = 0.1, P(E2) = 0.2, P(E3) = 0.1, P(E4) = 0.25, P(E5) = 0.15, P(E6) = 0.05, and P(E7) = 0.15.Assume the following events when answering the questions. Find P(A), P(B), and P(C).P(A) P(B) P(C) What is P(A B)? What is P(A B)? Are events A and C mutually exclusive?SelectYes, they are mutually exclusiveNo, they are not mutually exclusiveItem 6 What is P(Bc )? When a new machine is functioning properly, only 2% of the items produced are defective. Assume that we will randomly select two parts produced on the machine and that we are interested in the number of defective parts found. a. Using the Figure 5.3, select a tree diagram that shows this problem as a two-trial experiment. Here D: defective; G: not defective.  1 2 3 4 Choose the Correct option from the above tree diagrams: b. How many experimental outcomes result in exactly one defect being found? c. Compute the probabilities associated with finding no defects, exactly one defect, and two defects (to 4 decimals).  P (no defects) P (1 defect) P (2 defects) Annual sales, in millions of dollars, for 21 pharmaceutical companies follow.  8,576 1,401 1,910 9,057 2,508 11,641 621 14,138 6,581 1,887 2,874 1,383 10,708 7,628 4,100 4,428 754 2,170 3,726 5,910 8,472 1. Provide a five-number summary.  Smallest value First quartile Median Third quartile Largest value 2. Compute the lower and upper limits.  Lower limit Upper limit 3. Do the data contain any outliers? 4. Johnson & Johnson's sales are the largest on the list at$14,138 million. Suppose a data entry error (a transposition) had been made and the sales had been entered as $41,138 million. Would the method of detecting outliers in part (c) identify this problem and allow for correction of the data entry error? 5. Which of the following box plots accurately displays the data set? Figure 1.11 provides a bar chart showing the amount of federal spending for the years 2004 to 2010 (Congressional Budget Office website, May 15, 2011). FIGURE 1.11 FEDERAL SPENDING  Year a. What is the variable of interest? b. Are the data categorical or quantitative? c. Are the data time series or cross-sectional? d. Comment on the trend in federal spending over time. How much did the federal government spend in 2007?$ trillions (to 1 decimal)

 Suppose that we have two events, A and B, with P(A) = .50, P(B) = .50, and P(A ∩ B) = .20. a. Find P(A | B) (to 4 decimals). b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not?SelectYesNoItem 3 because P(A | B) Selectequal tonot equal toItem 4 P(A)
Consider a binomial experiment with two trials and p =0.2.
1. Which of the following tree diagrams accurately represents this binomial experiment?

2. Compute the probability of one success, f(1) (to 2 decimals).

3. Compute f(0) (to 2 decimals).

4. Compute f(2) (to 2 decimals).

5. Compute the probability of at least one success (to 2 decimals).

6. Compute the following (to 2 decimals).
 Expected value Variance Standard deviation

mickeygabz
School: Carnegie Mellon University

See attached. Finishing up the rest

The following frequency distribution shows the price per share for a sample of 30 companies
listed on the New York Stock Exchange.
Price per Share
$20-29$30-39
$40-49$50-59
$60-69$70-79
$80-89 Frequency 7 5 4 4 5 1 4 Compute the sample mean price per share and the sample standard deviation of the price per share for the New York Stock Exchange companies (to 2 decimals). Assume there are no price per shares between 29 and 30, 39 and 40, etc. Sample mean$

Sample standard deviation $Consider the following data and corresponding weights. xi Weight(wi) 3.9 7 3.0 4 3.5 1 3.0 9 a. Compute the weighted mean (to 3 decimals). b. Compute the sample mean of the four data values without weighting (to 3 decimals). Consider a sample with data values of 26, 24, 20, 16, 32, 34, 29, and 24. Compute the 20th, 25th, 65th, and 75th percentiles (to 1 decimal, if decimals are necessary). 20th percentile 25th percentile 65th percentile 75th percentile In automobile mileage and gasoline-consumption testing, 13 automobiles were road tested for 300 miles in both city and highway driving conditions. The following data were recorded for miles-per-gallon performance. City: 17.3 17.8 17 15.5 14.3 16.4 17.9 17.1 17.2 16.4 16.3 16.4 17.3 Highway: 20.9 22.1 19.8 20.1 20.7 18.9 18.7 20.1 20.5 22.6 20.9 20 20.2 Calculate the mean, median, and mode for City and Highway gasoline consumption (to 1 decimal). City Highway Mean Median Mode 20.9 Make a statement about the difference in gasoline consumption between both driving conditions. Gasoline consumption is higher in highways as compared to city. The National Sporting Goods Association conducted a survey of persons 7 years of age or older about participation in sports activities (Statistical Abstract of the United States: 2002). The total population in this age group was reported at 248.5 million, with 120.9 million male and 127.6 million female. The number of participants for the top five sports activities appears here. Activity Bicycle riding Camping Exercise walking Exercising with equipment Swimming Participants (millions) Male Female 23.7 27.1 30.2 18.9 27.9 19.5 22.8 56.2 25.9 32.9 1. For a randomly selected female, estimate the probability of participation in each of the sports activities (to 2 decimals). Note that the probabilities do not sum to 1 because of participation in more than one sports activity. Bicycle riding Camping Exercise walking Exercising with equipment Swimming 2. 3. For a randomly selected male, estimate the probability of participation in each of the sports activities (to 2 decimals). Note that the probabilities do not sum to 1 because of participation in more than one sports activity. Bicycle riding Camping Exercise walking Exercising with equipment Swimming 4. 5. For a randomly selected person, what is the probability the person participates in exercise walking (to 2 decimals)? 6. Suppose you just happen to see an exercise walker going by. What is the probability the walker is a woman (to 2 decimals)? What is the probability the walker is a man (to 2 decimals)? The following table provides a probability distribution for the random variable y. y f(y) 2 0. 20 4 0. 30 7 0. 40 8 0. 10 a. Compute E(y) (to 1 decimal). b. Compute Var(y) and σ (to 2 decimals). Var(y) σ Refer to the KP&L sample points and sample point probabilities in Tables 4.2 and 4.3. TABLE 4.2 COMPLETION RESULTS FOR 40 KP&L PROJECTS Completion Time (months) Number of Stage 1 Stage 2 Past Projects Sample point Design Construction Having These Completion Times 2 7 ( 2, 7) 6 2 8 ( 2, 8) 4 2 9 (2, 9) 2 3 7 (3, 7) 4 3 8 (3, 8) 6 3 9 (3, 9) 2 4 7 (4, 7) 4 4 8 (4, 8) 4 4 9 (4, 9) 8 Total 40 Table 4.3 Sample point (2, 7) (2, 8) (2, 9) PROBABILITY ASSIGNMENTS FOR THE KP&L PROJECT BASED ON THE RELATIVE FREQUENCY METHOD Project Probability Completion Time of Sample Point 9 months P(2, 7)=6/40=0.15 10 months P(2, 8)=4/40=0.1 11 months P(2, 9)=2/40=0.05 (3, 7) (3, 8) (3, 9) (4, 7) (4, 8) (4, 9) 10 months 11 months 12 months 11 months 12 months 13 months P(3, 7)=4/40=0.1 P(3, 8)=6/40=0.15 P(3, 9)=2/40=0.05 P(4, 7)=4/40=0.1 P(4, 8)=4/40=0.1 P(4, 9)=8/40=0.2 Total 1.00 1. The design stage (stage 1) will run over budget if it takes 4 months to complete. List the sample points in the event the design stage is over budget. (4, 7) (4, 8) (4, 9) • What is the probability that the design stage is over budget (to 2 decimal)? • The construction stage (stage 2) will run over budget if it takes 9 months to complete. List the sample points in the event the construction stage is over budget. (2, 9) (3, 9) (4, 9) 3. What is the probability that the construction stage is over budget (to 2 decimals)? 4. What is the probability that both stages are over budget (to 2 decimals)? Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida, during 2005 and 2006 are as follows: 2005 Season 73 77 78 76 74 72 74 76 2006 Season 70 69 74 76 84 79 70 78 1. Calculate the mean (0 decimals) and the standard deviation (to 2 decimals) of the golfer's scores, for both years. 2005 Mean Standard deviation 2006 Mean Standard deviation 2. 3. What is the primary difference in performance between 2005 and 2006? 0 What improvement, if any, can be seen in the 2006 scores? There were score above 80 in 2006 The probability distribution for the random variable x follows. x f(x) 20 0.24 24 0.19 32 0.27 35 0.30 1. Is this a valid probability distribution? YES 1. 2. What is the probability that x = 32 (to 2 decimals)? 3. What is the probability that x is less than or equal to 24 (to 2 decimals)? 4. What is the probability that x is greater than 32 (to 2 decimals)? Annual sales, in millions of dollars, for 21 pharmaceutical companies follow. 8,660 1,415 1,928 9,145 2,533 11,755 626 14,138 6,646 1,906 2,903 1,397 10,813 7,702 4,140 4,471 761 2,191 3,763 5,968 8,554 1. Provide a five-number summary. If needed, round your answer to a whole number. Smallest value First quartile Median Third quartile Largest value 2. 3. Compute the lower and upper limits. Enter negative amounts with a minus sign. Lower limit Upper limit 4. 5. Do the data contain any outliers? No • Johnson & Johnson's sales are the largest on the list at$14,138 million. Suppose a data entry
the method of detecting outliers in part (c) identify this problem and allow for correction of the
data entry error?
Yes. The value would be identified as an outlier.
• Which of the following box plots accu...

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awesome work thanks

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