Question
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
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_________________
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