Exam 14: Business Analytics

One of the morals of the red bead experiment is:

Ward's minimum variance can be used to measure the distance between clusters in cluster analysis.

It is not possible for the X chart to be out-of-control when the R chart is in control.

One of the morals of the red bead experiment is that variation is part of any process.

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 lower control limit for this data set is .

SS method is among the tools of Lean Six Sigma.

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 X chart is to be used for the number of blemishes.The lower control limit for this data set is , while the upper control limit is .

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 X chart is to be used for the time required to register.The lower control limit for this data set is , while the upper control limit is .

Which of the following disciplines is typically NOT involved in business analytics?

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. -Referring to SCENARIO 14-4, the highest mean weekend box office revenue is predicted to occur with $55 thousand spent on TV advertisement and at least 25 advertisement appearances a day.

SMED establishes ways to clean and maintain the necessary housekeeping aspects of a work environment.

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 R chart to see if the variability in production times is in-control.What is the upper control limit for this R chart?

Euclidean distance can be used to measure the distance between objects in cluster analysis.

Some business analytics involve starting with many variables, followed by filtering the data by exploring specific combinations of categorical values or numerical range.In Excel, this approach is mimicked by using gauges.

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, based on the R chart, it appears that the process is out of control.

Complete linkage can be used to measure the distance between objects in cluster analysis.

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, the "complete" method is used to measure the distance between clusters.

In metric multidimensional scaling, the distance between objects is ratio scaled.

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 R chart to see if the variability in production times is in-control.What is the center line of this R chart?

SCENARIO 15-2 A political pollster randomly selects a sample of 100 voters each day for 8 successive days and asks how many will vote for the incumbent.The pollster wishes to construct a p chart to see if the percentage favoring the incumbent candidate is too erratic. Sample (Day) Number Favoring IncumbentCandidate 1 57 2 57 3 53 4 51 5 55 6 60 7 56 8 59 -Referring to SCENARIO 15-2, what is the numerical value of the lower control limit for the pchart?