Exam 14: Business Analytics

SCENARIO 15-3 A quality control analyst for a light bulb manufacturer is concerned that the time it takes to produce a batch of light bulbs is too erratic.Accordingly, the analyst randomly surveys 10 production periods each day for 14 days and records the sample mean and range for each day. 1 58.5 5.1 2 47.6 7.8 3 64.3 6.1 4 60.6 5.7 5 63.7 6.2 6 57.5 6.0 7 55.0 5.4 8 54.9 6.1 9 55.0 5.9 10 62.7 5.0 11 61.9 7.1 12 60.0 6.5 13 58.3 5.9 14 52.0 5.2 -Referring to SCENARIO 15-3, suppose the analyst constructs an X chart to see if the production process is in-control.What is the lower control limit (LCL) for this chart?

SMED focuses on preventing the causes of defects.

Developing operational definitions for each critical-to-quality characteristic involves which part of the DMAIC process?

SCENARIO 15-9 The manufacturer of canned food constructed control charts and analyzed several quality characteristics.One characteristic of interest is the weight of the filled cans.The lower specification limit for weight is 2.95 pounds.The table below provides the range and mean of the weights of five cans tested every fifteen minutes during a day's production. Number XBar Range Number XBar Range 1 3.05072 0.0215 16 3.04646 0.073 2 3.01228 0.087 17 3.03868 0.0696 3 3.03558 0.0851 18 3.03338 0.0329 4 3.01014 0.0674 19 3.03322 0.0455 5 3.00858 0.0983 20 3.05078 0.0215 6 3.02704 0.0527 21 3.04808 0.0396 7 3.04268 0.0508 22 3.05348 0.0581 8 3.01052 0.0791 23 3.05516 0.0682 9 3.03464 0.0663 24 3.03426 0.0325 10 3.02034 0.0538 25 3.0516 0.0641 11 3.03764 0.0584 26 3.05562 0.0809 12 3.0409 0.0434 27 3.04402 0.0374 13 3.0519 0.0762 28 3.06458 0.0284 14 3.03994 0.0833 29 3.0544 0.0738 15 3.03788 0.0601 -Referring to SCENARIO 15-9, an R chart is to be constructed for the weight.One way to create the upper control limit involves multiplying the mean of the sample ranges by D4.For this dataset, the value of D4 is .

SCENARIO 14-3 is a measure of the probability that can The tree diagram below shows the results of the classification tree model that has been constructed to predict the probability of a cable company's customers who will switch ("Yes" or "No") into its bundled program offering based on the price ($30, $40, $50, $60) and whether the customer spends more than 5 hours a day watching TV ("Yes" or "No") using the data set of 100 customers collected from a survey. -Referring to SCENARIO 14-3, the first split occurs at what price?

SCENARIO 14-6 The neural network output below was obtained for predicting the weekend box office revenue of a newly released movie (in thousands of dollars) based on data collected in different cities on the expenditure (at $25, $30, $35, $40, $45, $50, $55, $60 $65 or $70 thousands) spent on TV advertising and the number of times (10, 15, 20, 25, 30 or 35) a day the advertisement appear on TV. -Referring to SCENARIO 14-6, what is the r-square of model for the training data?

SCENARIO 15-5 A manufacturer of computer disks took samples of 240 disks on 15 consecutive days.The number of disks with bad sectors was determined for each of these samples.The results are in the table that follows. \% 1 9 0.037500 2 7 0.029167 3 4 0.016667 4 6 0.025000 5 8 0.033333 6 3 0.012500 7 6 0.025000 8 10 0.041667 9 16 0.066667 10 24 0.100000 11 15 0.062500 12 9 0.037500 13 4 0.016667 14 8 0.033333 15 6 0.025000 -Referring to SCENARIO 15-5, the best estimate of the mean proportion of disks with bad sectors is _.

TPM establishes ways to eliminate unnecessary housekeeping aspects of a work environment.

SCENARIO 14-4 The regression tree below was obtained for predicting the weekend box office revenue of a newly released movie (in thousands of dollars) based on data collected in different cities on the expenditure (at $25, $30, $35, $40, $45, $50, $55, $60, $65 or $70 thousand) spent on TV advertising and the number of times (10, 15, 20, 25, 30 or 35) a day the advertisement appear on TV. -Neural networks do not make any a priori assumption about the distribution of the data and, hence, are nonparametric methods.

The principal focus of the control chart is the attempt to separate special or assignable causes of variation from common causes of variation.Which causes of variation can be reduced only by changing the system?

SCENARIO 15-7 A supplier of silicone sheets for producers of computer chips wants to evaluate her manufacturing process.She takes samples of size 5 from each day's output and counts the number of blemishes on each silicone sheet.The results from 20 days of such evaluations are presented below. She also decides that the upper specification limit is 10 blemishes. -Referring to SCENARIO 15-7, what percentage of the chips will fall below the upper specification limit?

SCENARIO 15-9 The manufacturer of canned food constructed control charts and analyzed several quality characteristics.One characteristic of interest is the weight of the filled cans.The lower specification limit for weight is 2.95 pounds.The table below provides the range and mean of the weights of five cans tested every fifteen minutes during a day's production. Number XBar Range Number XBar Range 1 3.05072 0.0215 16 3.04646 0.073 2 3.01228 0.087 17 3.03868 0.0696 3 3.03558 0.0851 18 3.03338 0.0329 4 3.01014 0.0674 19 3.03322 0.0455 5 3.00858 0.0983 20 3.05078 0.0215 6 3.02704 0.0527 21 3.04808 0.0396 7 3.04268 0.0508 22 3.05348 0.0581 8 3.01052 0.0791 23 3.05516 0.0682 9 3.03464 0.0663 24 3.03426 0.0325 10 3.02034 0.0538 25 3.0516 0.0641 11 3.03764 0.0584 26 3.05562 0.0809 12 3.0409 0.0434 27 3.04402 0.0374 13 3.0519 0.0762 28 3.06458 0.0284 14 3.03994 0.0833 29 3.0544 0.0738 15 3.03788 0.0601 -Referring to SCENARIO 15-9, an R chart is to be constructed for the weight.The center line of this R chart is located at _.

SCENARIO 14-7 The output below shows the results of cluster analysis on the different regions of the world (North America, Asia Pacific, Western Europe, Central & Eastern Europe, Latin America, and Middle East & Africa) based on the amounts (in billions of US dollars) and the percentage changes from prior year of business-to-consumer ecommerce sales last year. -Referring to SCENARIO 14-7, Middle East & Africa is the next region that clusters with the Central & Eastern Europe and Latin America cluster.

SCENARIO 15-7 A supplier of silicone sheets for producers of computer chips wants to evaluate her manufacturing process.She takes samples of size 5 from each day's output and counts the number of blemishes on each silicone sheet.The results from 20 days of such evaluations are presented below. She also decides that the upper specification limit is 10 blemishes. -Referring to SCENARIO 15-7, an R chart is to be constructed for the number of blemishes.One way to create the upper control limit involves multiplying the mean of the sample ranges by D4.For this data set, the value of D4 is .

SCENARIO 15-1 A local newspaper has 10 delivery boys who each deliver the morning paper to 50 customers every day.The owner decides to record the number of papers delivered on time for a 10-day period for one of the delivery boys and construct a p chart to see whether the percentage is too erratic. Day Number of Papers DeliveredonTime 1 46 2 45 3 46 4 45 5 43 6 48 7 46 8 49 9 48 10 47 -Referring to SCENARIO 15-1, which expression best characterizes the p chart?

Successful implementation of a regression tree requires rules for deciding when a branch of the tree cannot be split any more.

The p chart is a control chart used for monitoring the proportion of items that meet given specifications.

The prescriptive analytics technique in which the decision maker sets constraints that reflect resource limitations to determine how the process works most effectively is called simulation.

causes of variation are correctable without modifying the system.

SCENARIO 15-8 Recently, a university switched to a new type of computer-based registration.The registrar is concerned with the amount of time (hours) students are spending on the computer registering under the new system.She decides to randomly select 8 students on each of the 12 days of the registration and determine the time each spends on the computer registering.The range, mean, and standard deviation of the times required to register are in the table that follows. 1 10 5.250 3.4949 2 31 15.250 10.3060 3 13 20.375 4.9262 4 21 22.875 8.3911 5 35 8.500 11.3767 6 18 7.875 6.9372 7 25 11.250 8.5815 8 30 7.875 9.5235 9 17 10.250 6.3640 10 22 9.500 7.8740 11 27 7.875 8.7086 12 26 12.875 9.3723 -Referring to SCENARIO 15-8, based on the X chart, it appears that the process is in control.