This is Project Assignment in Statistics

Manufacturing and Design

Project (Engineering Statistics and Manufacturing)

Quality Control, Regression Analysis, and Models Fitting

Note Please Attempt each question as asked using the software where ever mentioned. Full Report generated by STATGRAPHICS Must be included in Problems 1 .All Excel sheets be included in PROBLEMS where Excel has been used such as in Q

Each problem should be started on separate page after pasting the the problem statement at the top of the page. Your Solution will be typewritten.

A hard copy as (WORD +EXCELL SHEETS) be provided along with a Hard copy in PDF format. Plus Software generated reports

A soft copy as a CD (WORD +EXCELL SHEETS) be provided along with a soft copy copy in PDF format. Plus Software generated reports. CD Must have mentioned that it is STSTISTICS PROJECT and it shoulf have All Project students Name and ID mentioned on CD and a on a text file inside the cD.

Project copies both word and PDF will be uploaded on WebCT as will be explained later.

Q1 Regression Analysis (MUST USE STATGRAPHICS_ ATTACH COMP:ETE REPORT PLUS ONE PAGE SUMMARY OF EACH FITTED MODEL) 2 points

Developing Cutting Forces Empirical Models of aCounter Boring Process in Aluminum.

Q2. A highly automated factory is producing ball bearings. The average ball diameter is 0.2152 in and the standard deviation is 0.0125 in. These dimensions are normally distributed.

What percentage of the parts can be expected to have a diameter less than 0.2500 in?

What percentage of the balls are between 0.2574 and 0.2512 in?

Q3. (a) The lifetime of a mechanical switch produced by a company has been determined to have a population mean of μ = 2000 h and σ = 200 h. The temper of a phosphor bronze leaf spring in the switch is changed slightly by the supplier. To determine whether this has changed the product, a sample of 100 switches is tested to give the sample values x ¯=1960 and s = 180. Has there been a change in the product?

Q4. A vendor of steel wire advertises a mean breaking load of 10,000 lb. A sample of eight tests shows a mean breaking load of 9250 lb and a standard deviation of 110 lb. Do our tests support the vendor's claim?

Q5. The manager of a quality-control lab is concerned with whether two stress rupture machines are giving reliable results. Six specimens of the same material are run on each machine at the same temperature and stress level. The logarithm of the rupture time is used as the test response. The results for the two machines are:

Does the manager have cause for concern?

Q6. The following data were obtained for the transverse reduction of area (RAT) of a steel gun tube (Embed your excel sheet in the solution document, and show the graphs)Use Excel

(a) Plot a frequency histogram from these data
(b) Plot the cumulative frequency distribution on regular coordinate paper.
(c) Determine the mean, median, and mode.
(d) Determine the range and standard deviation
(e) Plot the cumulative frequency distribution on normal-probability paper, and determine the mean and standard deviation.

Q7 .For the data given in Q6.
(a), What are the 95 percent confidence limits on the mean of the population?
(b) What are

Q8. Eight fatigue specimens were tested at the same stress. The number of cycles to failure, expressed as log N, were as follows.

What is the mean fatigue life and its standard deviation?

Q9. Three blocks are to be assembled as shown in Fig. 1.

(a) Determine the average size and the bilateral tolerance of dimension A that results, based upon the combinations of extreme possible conditions.

(b) Using a statistical approach, determine the bilateral tolerances expected for dimension A.

Q10. Refer to Fig. 4-2 in the text. Suppose dimensions A, B, and C remain as shown, while D is given as 2.899 ± 0.005.

(a) Determine the extreme variations of E that could ever result.

(b) Repeat part (a) from a statistical viewpoint.