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MGT 512 Quiz 2.1 AND MGT 2251 Final Test Bank
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The data on the time taken by 10 students in a class to complete an exam is an example of what type of data? - - correct ans- - Quantitative data _____ are collected from several entities at the same point in time. - - correct ans- - Cross- sectional data When working with large spreadsheets with many rows of data, it can be helpful to _____ the data to better find, view, or manage subsets of data. - - correct ans- - Sort and Filter Data collected from several entities over a period of time (minutes, hours, days, etc.) are called... - - correct ans- - time series data The letter grades of business analysis students is recorded by the professor (4=A, 3=B, 2=C, 1=D). This variable's classification - - correct ans- - is categorical data The data collected from the customers in restaurants about the quality of food is an exampled of a(n) - - correct ans- - observational study A summary of data that show the number of observations in each of several non- overlapping bins is called a(n) - - correct ans- - frequency distribution Which of the following gives the proportion of items in each bin? - - correct ans- - Relative frequency
Which of the following are necessary to be determined to define the classes for a frequency distribution with quantitative data? - - correct ans- - Number of nonoverlappping bins, width of each bin, and bin limits A ___ is a graphical summary of data previously summarized in a frequency distribution. - - correct ans- - histogram A sample of 13 adult males' eights are listed below. 70, 27, 71, 70, 69, 73, 69, 68, 70, 71, 67, 71, 74 Find the range of the data. - - correct ans- - 7 Find the relative frequency of group 4, given that group 1 = 0.15, group 2 = 0.32, and group 3 = 0.29. - - correct ans- - 0. To total samples size is 40. If the relative frequency group 4 is .24, but is the frequency of group 4. - - correct ans- - 96 Compute the geometric mean of the following data on growth factors of an invest for 10 years. 1.10, 0.50, 0.70, 1.21, 1.12, 1.16, 1.11, 1.13, 1.22 - - correct ans- - 1. Consider a sample of the waiting times (in minutes at the billing counter in a grocery store to be 15, 24, 18, 15, 21, 20, 15, 22, 19, 16, 15, 22, 20, 15 and 21. Compute the median. - - correct ans- - 19
The difference in a variable measure over observations (time, customers, items, etc) is known as - - correct ans- - variation In a(n) ___, one or more variables are identified and controlled or manipulated so that the data can be obtained about how they influence the variable of interest identified first. - - correct ans- - experimental study Consider the data below. What percentage of students scored grade C? A = 16 B = 28 C = 33 D = 13 Total = 90 - - correct ans- - 37% Compute the relative frequencies for students who earned an A shown in the table of grades below. A = 10 B = 31 C = 36 D = 6 Total = 83 - - correct ans- - 0. Compute the relative frequencies for the data given in the table below: A = 16 B = 28 C = 33
D = 13
Total = 90 - - correct ans- - 0.18, 0.31, 0.37, 0. Compute the median of the following data. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37 - - correct ans- - 31 The scores of a sample of students in a Math test are 20, 15, 19, 21, 22, 12, 17, 14, 24, 16 and in a Stat test are 16, 12, 19, 17, 22, 14, 20, 21, 24, 15, 13. Compute the mean scores for the Math test. - - correct ans- - 18 The scores of a sample of students in a Math test are 20, 15, 19, 21, 22, 12, 17, 14, 24, 16 and in a Stat test are 16, 12, 19, 17, 22, 14, 20, 21, 24, 15, 13. Compute the mean scores for the Stat test. - - correct ans- - 17. A student willing to participate in a debate competition is required to fill out a registration form. State whether each of the following information about the participant provides categorical or quantitative data. a. What is your date of birth? b. Have you participated in any debate competition previously? c. If yes, in how many debate competitions have you participated so far? d. Have you won any of the competitions? e. If yes, how many have you won? - - correct ans- - Categorical, Categorical, Quantitative, Categorical, Quantitative
- Assume that we are using a waiting line model to analyze the number of service technicians required to maintain machines in a factory. Our goal should be to A) maximize productivity of the technicians. B) minimize the number of machines needing repair.C) minimize the downtime for individual machines.D) minimize the percent of idle time of the technicians.E) minimize the total cost (cost of maintenance plus cost of downtime). - - correct ans- - Answer: E
- In queuing analysis, total expected cost is the sum of expected ________ plus expected ________.A) service costs, arrival costsB) facility costs, calling costsC) calling cost, inventory costsD) calling costs, waiting costsE) service costs, waiting costs - - correct ans- - Answer: E
- In queuing theory, the calling population is another name for A) the queue size.B) the servers.C) the arrivals.D) the service rate.E) the market researchers. - - correct ans- - Answer: C
- Which of the following is not a valid queuing model based on the Kendall notation?A) M/M/3B) D/D/2C) D/M/1D) M/M/0E) G/D/1 - - correct ans- - Answer: D
- Which of the following is not true about arrivals?A) Random arrivals are independent of each other.B) Random arrivals cannot be predicted exactly.C) The Poisson distribution is often used to represent the arrival pattern.D) Service times often follow the negative exponential distribution.E) The exponential distribution is often used to represent the arrival pattern. - - correct ans- - Answer: E
- An arrival in a queue that reneges is one whoA) after joining the queue, becomes impatient and leaves.B) refuses to join the queue because it is too long.C) goes through the queue, but never returns.D) jumps from one queue to another, trying to get through as quickly as possible.E) None of the above - - correct ans- - Answer: A
- The customer who arrives at a bank, sees a long line, and leaves to return another time isA) balking.B) cropping.C) reneging. - - correct ans- -
D) blithering.E) None of the above - - correct ans- - Answer: A
- The customer who arrives at a bank, enters a line, and decides to leave isA) balking.B) cropping.C) reneging.D) blithering.E) None of the above - - correct ans- - Answer: C
- The three major characteristics of the input source that generates arrivals or customers for the service system areA) size, demographics, and behavior.B) size, pattern, and behavior.C) demographics, pattern, and behavior.D) size, demographics, and pattern.E) None of the above - - correct ans- - Answer: B
- The term queue "discipline" describes theA) degree to which members of the queue renege.B) sequence in which members of the queue arrived.C) degree to which members of the queue are orderly and quiet.D) sequence in which members of the queue are serviced.E) All of the above - - correct ans- - Answer: D
- A vendor selling newspapers on a street corner is an example of aA) single-channel, multiphase system.B) single-channel, single-phase system.C) multichannel, multiphase system.D) multichannel, single-phase system.E) None of the above - - correct ans- - Answer: B
- Lines at banks where customers wait for a teller window are usually representative of aA) single-channel, multiphase system.B) single-channel, single-phase system.C) multichannel, multiphase system.D) multichannel, single-phase system.E) None of the above - - correct ans- - Answer: D
- Which of the following distributions is most often used to estimate the arrival pattern?A) negative exponentialB) normalC) PoissonD) ErlangE) beta - - correct ans- - Answer: C
- A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, what is the average number of customers waiting in line behind the person being served?A) 0.50B) 0.75C) 2.25D) 3.00E) None of the above - - correct ans- - Answer: C
- A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, what proportion of the time is the server busy?A) 0.25B) 0.50C) 0.75D) 2.25E) 3.00 - - correct ans- - Answer: C
- A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, how much time will elapse (in hours) from the time a customer enters the line until he/she leaves the restaurant?A) 0.50B) 0.25C) 0.75D) 2.25E) 3.00 - - correct ans- - Answer: A
- Customers enter the waiting line at a cafeteria on a first-come, first-served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute, what is the average number of customers in the system?A) 0.43B) 1.67C) 0.57D) 1.33E) None of the above - - correct ans- - Answer: D
- Customers enter the waiting line at a cafeteria on a first-come, first-served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute, what is the average number of customers waiting in line behind the person being servedA) 0.76B) 0.19C) 1.33D) 1.67E) None of the above - - correct ans- - Answer: A
- Customers enter the waiting line to pay for food as they leave a cafeteria on a first- come, first-served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute, what proportion of the time is the server busy?A) 0.43B) 0.57C) 0.75D) 0.25E) 0.33 - - correct ans- - Answer: B
- Customers enter the waiting line to pay for food as they leave a cafeteria on a first- come, first-served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute, on average, how much time will elapse from the time a customer enters the line until he/she leaves the cafeteria?A) 0.67 minuteB) 0.50 minuteC) 0.75 minuteD) 0.33 minuteE) 1.33 minutes - - correct ans- - Answer: D
- At a local fast-food joint, cars arrive randomly at a rate of 12 every 30 minutes. The fast food joint takes an average of 2 minutes to serve each arrival. The utilization factor for this system isA) 0.467.B) 0.547.C) 0.800.D) 0.133.E) None of the above - - correct ans- - Answer: C
- At a local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes. Service times are random (exponential) and average 2 minutes per arrival. The average time in the queue for each arrival isA) 2 minutes.B) 4 minutes.C) 6 minutes.D) 8 minutes.E) 10 minutes. - - correct ans- - Answer: D
- Which of the following distributions is most often used to estimate service times?A) negative exponentialB) normalC) PoissonD) ErlangE) beta - - correct ans- - Answer: A
- Most systems use a queue discipline known asA) shortest processing time.B) longest processing time.C) FIFO.D) earliest due date.E) critical ratio. - - correct ans- - Answer: C
- A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks. How long does the average person spend waiting for a clerk?A) 3.429 minutesB) 1.929 minutesC) 1.143 minutesD) 0.643 minuteE) None of the above - - correct ans- - Answer: D
- A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks. What proportion of time are both clerks idle?A) 0.643B) 0.250C) 0.750D) 0.143E) None of the above - - correct ans- - Answer: B
- According to the information provided in Table 12-1, on average, how many units are in the line?A) 1.646B) 0.563C) 0.280D) 1.125E) 0.521 - - correct ans- - Answer: E
- According to the information provided in Table 12-1, what proportion of time is at least one server busy?A) 0.563B) 0.437C) 0.720D) 0.280E) None of the above - - correct ans- - Answer: C
- Using the information provided in Table 12-1 and counting each person being served and the people in line, on average, how many people would be in this system?A) 0.521B) 1.646C) 1.125D) 0.183E) None of the above - - correct ans- - Answer: B
- According to the information provided in Table 12-1, what is the average time spent by a person in this system?A) 0.058 minuteB) 1.646 minutesC) 0.521 minuteD) 0.183 minuteE) None of the above - - correct ans- - Answer: D
- According to the information provided in Table 12-1, what percentage of the total available service time is being used?A) 72.0%B) 28.0%C) 56.3%D) It could be any of the above, depending on other factors.E) None of the above - - correct ans- - Answer: C
- Cars arrive at a local JLUBE franchise at the rate of 1 every 12 minutes. Service times are exponentially distributed with an average of 15 minutes. Jack Burns, the JLUBE owner, has decided to open a second work bay, i.e., make the shop into a two-channel system. Under this new scheme, the average customer will wait in an ________ line.A) M/M/1B) M/M/2C) M/D/2D) M/D/1E) M/G/2 - - correct ans- - Answer: B
- Cars arrive at a local JLUBE franchise at the rate of 1 every 12 minutes. Service times are exactly 15 minutes. Jack Burns, the JLUBE owner, has decided to open a second work bay, i.e., make the shop into a two-channel system. Under this new scheme, the average customer will wait in an ________ line.A) M/M/1B) M/M/2C) M/D/2D) M/D/1E) M/G/2 - - correct ans- - Answer: C
- Cars arrive at a local JLUBE franchise at the rate of 1 every 12 minutes. Service times are exponentially distributed with an average of 15 minutes. Jack Burns, the JLUBE owner, has decided to open a second work bay, i.e., make the shop into a two-channel system. Under this new scheme, the average customer will wait in lineA) approximately 9. minutes.B) approximately 2.5 minutes.C) approximately 24.6 minutes.D) approximately 2. minutes.E) None of the above - - correct ans- - Answer: A
- Cars arrive at a local JLUBE franchise at the rate of 1 every 12 minutes. Service times are exponentially distributed with an average of 15 minutes. Jack Burns, the JLUBE owner, has decided to open a second work bay, i.e., make the shop into a two-channel system. Under this new scheme, the total time an average customer spends in the system will beA) 37 minutes.B) 2.1 minutes.C) 9.6 minutes.D) 33.3 minutes.E) 24.6 minutes. - - correct ans- - Answer: E
- According to the information provided in Table 12-2, which presents a queuing problem solution, on average, how many units are in the line?A) 5.455B) 3.788C) 1.091D) 0.758E) 0.833 - - correct ans- - Answer: B
- According to the information provided in Table 12-4, which presents a queuing problem solution for a queuing problem with a constant service rate, on average, how much time is spent waiting in line?A) 1.875 minutesB) 1.125 minutesC) 0.625 minuteD) 0.375 minuteE) None of the above - - correct ans- - Answer: D
- According to the information provided in Table 12-4, which presents a queuing problem solution for a queuing problem with a constant service rate, on average, how many customers are in the system?A) 1.875B) 1.125C) 0.625D) 0.375E) None of the above - - correct ans- - Answer: A
- According to the information provided in Table 12-4, which presents a queuing problem solution for a queuing problem with a constant service rate, on average, how many customers arrive per time period?A) 3B) 4C) 1.875D) 1.125E) None of the above - - correct ans- - Answer: A
- According to Table 12-4, which presents a queuing problem with a constant service rate, on average, how many minutes does a customer spend in the service facility?A) 0. minute B) 4 minutesC) 0.625 minute D) 0.25 minute E) None of the above - - correct ans- - Answer: C
- Which of the following is not an assumption for the M/M/1 model with finite population source?A) There is only one server.B) The population of units seeking service are finite.C) Arrivals follow a Poisson distribution and service times are exponential.D) Customers are served on a first come, first served basis.E) The length of the queue is independent of the arrival rate. - - correct ans- - Answer: E
- The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the average number of fax machines in the queue?A) 1.1658 fax machinesB) 2.9904 fax machinesC) .1563 fax machineD) .0142 fax machineE) None of the above - - correct ans- - Answer: D
- The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the average number of fax machines in the system?A) .0142 fax machineB) .1563 fax machineC) .0249 fax machineD) .2749 fax machineE) None of the above - - correct ans- - Answer: B
- The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the average waiting time in the queue?A) .0142 hourB) .1563 hourC) .0249 hourD). hourE) None of the above - - correct ans- - Answer: C Customers arrive at coffee shop at a rate of 40 per hour. There are 2 servers available and it takes an average of 1 minute to serve each customer. 117) Using Table 12-6, what is the probability of no customers in the system?A) 0B) 0.333C) 0.5 D) 0.667E) 1 - - correct ans- - Answer: C
- Using Table 12-6, what is the average number of customers in the coffee shop?A) 0.0833B) 0.5C) 0.75 D) 1.33E) 2 - - correct ans- - Answer: C
- Using Table 12-6, what is the average number of customers waiting in line?A) 0.0833B) 0.5C) 0.75 D) 1.33E) 2 - - correct ans- - Answer: A
- The school of business has 3 fax machines. The toner in each machine needs to be changed after about 5 hours of use. There is one unit secretary who is responsible for the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge. What is the average time spent in the system?A) .0142 hourB) .1563 hourC) .0249 hourD). hourE) None of the above - - correct ans- - Answer: D
- Sam the Vet is running a rabies vaccination clinic for dogs at the local grade school. Sam can vaccinate a dog every 3 minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of 1 dog every 6 minutes, according to a Poisson distribution. Also assume that Sam's vaccinating times are exponentially distributed. (a) Find the probability that Sam is idle.(b) Find the proportion of time that Sam is busy.(c) Find the average number of dogs receiving or waiting to be vaccinated.(d) Find the average number of dogs waiting to be vaccinated.(e) Find the average time a dog waits before getting vaccinated.(f) Find the average amount (mean) of time a dog spends between waiting in line and getting vaccinated. - - correct ans- - Answer: (a) Po = 0.5(b) ρ = 0.5(c) L = 1(d) Lq = 0.5(e) Wq = 0.05 hour(f) W = 0.1 hour
- Sam the Vet is running a rabies vaccination clinic for dogs at the local grade school. Sam can vaccinate a dog every 3 minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of 1 dog every 4 minutes, according to a Poisson distribution. Also assume that Sam's vaccinating times are exponentially distributed. (a) Find the probability that Sam is idle.b) Find the proportion of time that Sam is busy.(c) Find the average number of dogs receiving or waiting to be vaccinated.(d) Find the average number of dogs waiting to be vaccinated.(e) Find the average time a dog waits before getting vaccinated.(f) Find the average amount (mean) of time a dog spends between waiting in line and getting vaccinated. - - correct ans- - Answer: (a) Po = 0.25(b) ρ = 0.75(c) L = 3(d) Lq = 2.25(e) Wq = 0.15 hour(f) W = 0.2 hour
- A dry cleaner has a single drive-thru window for customers. The arrival rate of cars follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is 16 per hour and the average service time is three minutes.(a) What is the average number of cars in the line?(b) What is the average time spent waiting to get to the service window?(c) What percentage of time is the dry cleaner's drive-thru window idle?d) What is the probability there are more than 2 cars at the drive-thru window?
- correct ans- - Answer: (a) Lq = 3.2(b) Wq = 0.2 hour (12 minutes)(c) Po = 0.20(d) Pn > k =
- A dry cleaner has a single drive-thru window for customers. The arrival rate of cars follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is 16 per hour and the average service time is three minutes. If the dry cleaner wants to accommodate (have enough room for) all of the waiting cars at least
96 percent of the time, how many car-lengths should they make the driveway leading to the window? - - correct ans- - Answer: The probability of having more than 14 cars in the system is (16/20)14+1 = 0.035, so they should make the driveway approximately 13 car-lengths long (because one car will be at the service window). (The probability of having more than 13 cars in the system is 0.044 (which is too high), and the percentage only gets worse as the queue length is shortened.)
- Sam the Vet is running a rabies vaccination clinic for dogs at the local grade school. Sam can vaccinate a dog every 3 minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of 1 dog every 6 minutes, according to a Poisson distribution. Also assume that Sam's vaccinating times are exponentially distributed. Sam would like to have each waiting dog placed in a holding pen. If Sam wants to be certain he has enough cages to accommodate all dogs at least 9 0 percent of the time, how many cages should he prepare? - - correct ans- - Answer: He needs to prepare 2 cages. The probability of having more than 3 dogs in the system is 0.0625 while the probability of having more than 2 dogs in the system is 0.125.
- A new shopping mall is considering setting up an information desk operated by two employees. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 20 per hour. It takes an average of 4 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed.(a) Find the proportion of the time that the employees are busy.(b) Find the average number of people waiting in line to get some information.(c) Find the expected time a person spends just waiting in line to have his question answered. - - correct ans- - Answer: (a) ρ = 0.667(b) Lq = 1.0667(c) Wq = 0.0533 hour
- Cars arrive at a parking lot entrance at the rate of 20 per hour. The average time to get a ticket and proceed to a parking space is two minutes. There are two lot attendants at the current time. The Poisson and exponential distribution appear to be relevant in this situation.(a) What is the probability that an approaching auto must wait?(b) What is the average waiting time?(c) What is the average number of autos waiting to enter the garage? -
- correct ans- - Answer: (a) Po = 0.50(b) Wq = 0.25 minute(c) Lq = 0.0833 auto
