Exam 14: Business Analytics

SCENARIO 15-6 The maker of a packaged candy wants to evaluate the quality of her production process.On each of 16 consecutive days, she samples 600 bags of candy and determines the number in each day's sample that she considers to be of poor quality.The data that she developed follow. Number Proportion 1 33 0.0550000 2 29 0.0483333 3 31 0.0516667 4 32 0.0533333 5 43 0.0716667 6 45 0.0750000 7 46 0.0766667 8 48 0.0800000 9 48 0.0800000 10 46 0.0766667 11 28 0.0466667 12 32 0.0533333 13 28 0.0466667 14 32 0.0533333 15 31 0.0516667 16 24 0.0400000 -Referring to SCENARIO 15-6, the process seems to be in control.

The cause of variation that can be reduced only by changing the system is cause variation.

In multidimensional scaling, the stress statistic is used to measure the goodness of fit of the results to the data.

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.Which expression best describes this chart?

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, an R chart is to be constructed for the time required to register.The lower control limit for this data set is _.

Most information design specialists prefer bullet graphs over gauges because bullet graphs foster the direct comparison of each measurement.

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, a p control chart is to be made for these data.The center line of the control chart is .

The result of the regression tree is affected by the distribution of the independent variables.

Changes in the system to reduce common cause variation are the responsibility of management.

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.The upper control limit for this data set is .

Which of the following finds relationships in data that may not be readily apparent?

An in-control process must be achieved before being able to estimate process capability.

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 highest probability of switching is predicted to occur among customers who do not watch more than 5 hours of TV a day and are offered the bundled price of higher than $50.

SCENARIO 15-6 The maker of a packaged candy wants to evaluate the quality of her production process.On each of 16 consecutive days, she samples 600 bags of candy and determines the number in each day's sample that she considers to be of poor quality.The data that she developed follow. Number Proportion 1 33 0.0550000 2 29 0.0483333 3 31 0.0516667 4 32 0.0533333 5 43 0.0716667 6 45 0.0750000 7 46 0.0766667 8 48 0.0800000 9 48 0.0800000 10 46 0.0766667 11 28 0.0466667 12 32 0.0533333 13 28 0.0466667 14 32 0.0533333 15 31 0.0516667 16 24 0.0400000 -Referring to SCENARIO 15-6, a p control chart is to be constructed for these data.The center line for the chart should be located at _.

Which of the following is not true concerning overfitting?

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 X chart is to be used for the weight.The lower control limit for this data set is _, while the upper control limit is .

Total Productive Maintenance focuses on methods that enable participants to reduce setup time for equipment and resources and materials needed for changeover.

Common causes of variation are correctable without modifying the system.

In multidimensional scaling, the general rule in to increase the number of dimensions as long as the stress statistic increases substantially.

In multidimensional scaling, the larger the stress statistic, the better is the fit.