Question ONE:

firstsecondthirdTotal

cooks25302075

26.6725.0023.33

0.1041.0000.476

Cleaning35202075

26.6725.0023.33

2.6041.0000.476

Waiters20253075

26.6725.0023.33

1.6670.0001.905

Total807570225

Chi-Sq = 9.232, DF = 4, P-Value = 0.056

A researcher is interested in whether or not a significant trend exists regarding the popularity of certain work shifts among her employees: cooks, cleaning, and wait-staff. A random sample of 75 from each job category is selected. The responders are asked to indicate which of three work shifts they preferred. The results are given above for each shift by job category. Do the results deviate significantly from what would be expected due to chance?Show your work. Explain your answer.

Question TWO:

3000 on campus apartments are available for newly enrolled students. Of the 10,000 students enrolled 85% are from the state "resident" and 15% are listed as "non-resident".You want to know if an equal portion of incoming resident and non-resident students newly enrolled request on campus housing.

Write the null and alternate hypothesis.

Ho:

Ha:

Question THREE:

Given the mean height of centennial rose bushes is feet and the standard deviation is feet: write the null and alternative hypotheses you would test to answer whether the mean height for all centennial rose bushes is now more than 4 feet.

Ho:

Ha:

Question FOUR:

Your printer has skipped - you are to fill in the missing values on the chart below:

source

DF

SS

MS

F

P

factor

1

326780

error

773135

total

29

1099916

Question Five:

List the Assumptions for Linear Regression

State whether a linear model is appropriate for based on the Residual Plots below. (Explain in detail why/why not).

Question Six:

You have been asked to complete an analysis of the usefulness of a model your company uses to predict response Y .

Write the Regression Equation based on the computer output below:

_______________________________________________________________________

Which factors you would recommend to use in a future model (how you determined your decisions).

Variable(s) to include (because):

_______________________________________________________(__________________________)

Computer Output

coefficients

CoefSE CoefTP

Constant-0.174110.280769-0.62010.541

x10.013410.0118391.13270.269

x20.009430.0775090.12160.904

x3-0.009000.008385-1.07330.294

x4-0.02557 0.011660-2.19300.038

x51.182770.10695811.05830.000

Summary of Model

S = 0.425899 R-Sq = 89.98% R-Sq(adj) = 87.89% PRESS = 6.94315R-Sq(pred) = 84.02%

Analysis of Variance

SourceDFSeq SSAdj SSAdj MSFP

Regression539.085339.08537.817143.0950.000000

x116.71540.23270.23271.2830.268518

x211.50730.00270.00270.0150.904228

x310.61030.20900.20901.1520.293808

x418.07100.87230.87234.8090.038238

x5122.181322.181322.1813122.2850.000000

Error244.35344.35340.1814

Total2943.4387

Fits and Diagnostics for Unusual Observations

ObsyFitSE FitResidualSt Resid

23-0.80.06720370.174444-0.867204-2.23199R

Question Seven:

A clothing manufacturer MineRgoods has asked you to set up a control chart to determine, based on the number of defects per garment, if their sewing process is in control. You have collected the following data.

Run the appropriate control chart(s) in Minitab and write your conclusion and recommendation for MineRgoods.

Sample number of

IDDefects

124

228

336

447

523

626

729

845

948

1032

1145

1256

1358

1441

1525

1638

1721

1829

1938

2032

2145

2242

2326

2438

2545

Question Eight:

A home canner manufacturer is interested in learning if people would choose the canner they purchased again. So the manufacturer does a survey 700 of their most recent customers and found the following data.

Use an alpha of 0.05 to test whether the data shows a difference among the three canner types.

Choose Again

Canner A

Canner B

Canner C

Total

Yes

128

199

186

No

88

33

66

Total

Explain your test statistic, result, and business conclusion.

Question Nine:

You work for a package delivery company and wish to determine if your process is in control or if you need to make changes to the system.

You recommend ________________ explain

Question Ten:

When testing Ho: = 16 versus H1: does not equal 16 at a .05 level of significance, the p-valuecomputed is .001, then the decision is:

Reject Ho

Accept Ho

Fail to reject Ho

Not determinable from the information provided

True or False

The focus of total quality management is the prevention of defects_________________