Bhisham C. Gupta - Statistics and Probability with Applications for Engineers and Scientists Using MINITAB, R and JMP

Demonstrating better quality

Becoming the workshop of choice for physicians

Partnering with associates

Strengthening the core (making sure the hospital is financially sound)

Establishing the hospital as a regional workshop of choice to better serve organizations and promote health care in the region

Tables 2.10.1– 2.10.3document the improvement at St. Luke's.

Construct the relevant graphs summarizing the data in this case study and interpret them. Then, prepare the progress report that you would like to present to the Board of Directors of the hospital.

Table 2.10.1Turnaround time for inpatient lab testing once the swarm method was implemented.

Table 2.10.2Physician satisfaction scores at St. Luke's Hospital before and after the hospital's “breaking out of the pack” strategy.

Table 2.10.3Inpatient satisfaction scores after St. Luke's implemented the standards of excellence of the four tools centered on the patient and family experience.

Case Study 2( Part measurements using a micrometer ) 2The goal of this study is to develop a process with reduced variation among machines producing some parts. During this study, diameters of a part are measured using a standard micrometer with readings recorded to 0.0001 of an inch. The data for this case study is available on the book website: www.wiley.com/college/gupta/statistics2e.

Do the followings:

1 Construct box plots for the three sets of data, that is, from machine‐1, machine‐2, and machine‐3, and compare average values of the diameter of the parts produced by the three machines.

2 Determine the variances for the three sets of data, compare them, and write your conclusions.

3 Determine the coefficient of variation for the three sets of data, compare them, and write your conclusions.

4 Compare your conclusions in Parts 2 and 3 above, and comment.

This section is available for download from the book website: www.wiley.com/college/gupta/statistics2e.

1 During a flu season, it is common that many workers cannot come to work because either they themselves are sick or they have to take care of their sick children. The following data give the number of employees of a company who did not come to work on 18 days during a flu season:7, 5, 10, 12, 6, 7, 8 10, 3, 16, 10, 9, 8, 10, 9, 8, 7, 6Construct a dot plot for these data. Comment on what you learn from the dot plot.

2 A saving and loan institution wants to find how many of their customers default their loan payments. The following data give the number of customers who did not make their payment on time at least once over the past 12 months:15, 20, 18, 16, 3, 19, 14, 17, 17, 16, 30, 15Construct a dot plot for these data. Comment on any patterns you observe in these data.

3 The following data give the number of machines in a shoe factory that had breakdowns during the past 21 shifts:3, 2, 1, 0, 2, 1, 4, 2, 0, 1, 2, 3, 1, 0, 4, 2, 1, 10, 2, 1, 2Construct a dot plot for these data. If you were the maintenance engineer, what would you learn from these data?

4 The following data classify a group of students who are attending a seminar on environmental issues by their class standing:Class standingFrequencyFreshmen16Sophomore18Junior20Senior15Graduate30Construct a bar chart for these data.Construct a pie chart for these data.

5 Suppose there are two fund‐raising concerts at a university. The following data give the number of students by their class standing who attended one or the other of the concerts:Class standingFrequency‐1Frequency‐1Freshmen1640Sophomore1830Junior2021Senior1520Graduate3015Construct a side‐by‐side bar chart for each of the concert and compare the two sets of data.Construct pie charts for each of the concerts. Do you think you can get the same information by using the two pie charts, as by using the side‐by‐side bar charts?

6 Refer to the data in Problem 15 of Section 2.4.Construct a frequency histogram for these data.Construct a relative‐frequency histogram for these data.

7 Suppose that in a midwestern state, a legislator running for governor proposes the following state budget (in millions of dollars) for the following year:Education900Medicaid400Other social programs500Road and bridges350Agriculture400Others250Use JMP, MINITAB, or R to do the following:Construct a bar chart for these data.Construct a pie chart for these data.Determine what percentage of the budget is used for all social programs.

8 The following data give the number of defective parts produced in 21 consecutive shifts of 1 wk15141816171327141510301481415171513141620Prepare a line graph of these data.Check if any peaks or dips appear in the line graph.As a quality manager of the company, what would you conclude from this line graph, and what will be your line of action to reduce the number of defective parts produced?

9 Consider the following stem‐and‐leaf diagram:StemLeaf32 5 740 3 6 8 951 2 2 7 863 5 6 6 9 971 5 5 7 8Reproduce the data set represented by the diagram.

10 The following data give the number of employees from 19 different sectors of a large company who were absent for at least two days from a certain training program:75101267810316109810769112Construct a dot plot for these data and comment on what you observe in these data.

11 To improve the quality of a crucial part used in fighter jets, a quality control engineer is interested in finding the type of defects usually found in that part. He labels these defects as A, B, C, D, and E based on severity of the defect. The following data show the type of defects found in the defective parts:BDABCDBEBEDBCBECDBEDBCBDBCDBABCBDEBEBECBDEBCEBEBCBDBPrepare a bar chart for these data, and comment on the types of defects encountered in the parts under study.

12 The following data give the salaries (in thousands of dollars) of 62 randomly selected engineers from different manufacturing companies located in different regions of the United States:654585689895586264545758851204556150140123655566768845506066554648985666185565577596714516667586869878992858877697686815414515419020585Prepare a box whisker plot for these data.Do these data contain any mild or extreme outliers?

13 The following data give the number of cars owned by 50 randomly selected families in a metropolitan area:35212431234232531243212145123234231232423213124232Construct a single‐valued frequency distribution table for these data.Compute the columns of relative frequencies and percentages.Construct a bar chart for these data.What percentage of the families own at least 3 cars?What percentage of the families own at most 2 cars?