Exam 3 questions for Business StatsIS 242 Exam #3 name: _________________________________...

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Exam 3 questions for Business StatsIS 242 Exam #3					name: _________________________________ Question ONE:          first  second  third  Total cooks     25      30     20     75        26.67   25.00  23.33        0.104   1.000  0.476 cleaning  35      20     20     75        26.67   25.00  23.33        2.604   1.000  0.476 Waiters   20      25     30     75        26.67   25.00  23.33        1.667   0.000  1.905 Total     80      75     70    225 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 µ feet and the standard deviation is σ 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              Coef   SE Coef        T      P Constant  -0.17411  0.280769  -0.6201  0.541 x1         0.01341  0.011839   1.1327  0.269 x2         0.00943  0.077509   0.1216  0.904 x3        -0.00900  0.008385  -1.0733  0.294 x4        -0.02557  0.011660  -2.1930  0.038 x5         1.18277  0.106958  11.0583  0.000 Summary of Model S = 0.425899 R-Sq = 89.98% R-Sq(adj) = 87.89% PRESS = 6.94315  R-Sq(pred) = 84.02% Analysis of Variance Source      DF   Seq SS   Adj SS   Adj MS        F         P Regression   5  39.0853  39.0853   7.8171   43.095  0.000000   x1         1   6.7154   0.2327   0.2327    1.283  0.268518   x2         1   1.5073   0.0027   0.0027    0.015  0.904228   x3         1   0.6103   0.2090   0.2090    1.152  0.293808   x4         1   8.0710   0.8723   0.8723    4.809  0.038238   x5         1  22.1813  22.1813  22.1813  122.285  0.000000 Error       24   4.3534   4.3534   0.1814 Total       29  43.4387 Fits and Diagnostics for Unusual Observations Obs     y        Fit    SE Fit   Residual  St Resid  23  -0.8  0.0672037  0.174444  -0.867204  -2.23199  R 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  ID	Defects 1	24 2	28 3	36 4	47 5	23 6	26 7	29 8	45 9	48 10	32 11	45 12	56 13	58 14	41 15	25 16	38 17	21 18	29 19	38 20	32 21	45 22	42 23	26 24	38 25	45 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: µ = 16 versus H1: µ does not equal 16 at a .05 level of significance, the p-value  computed is .001, then the decision is:   a. Reject Ho b. Accept Ho c. Fail to reject Ho d. Not determinable from the information provided True or False The focus of total quality management is the prevention of defects    _________________ 4002000-200-400 99 90 50 10 1 Residual P e r c e n t 800600400200 200 0 -200 Fitted Value R e s i d u a l 2001000-100-200-300 4.8 3.6 2.4 1.2 0.0 Residual F r e q u e n c y 30282624222018161412108642 200 0 -200 Observation Order R e s i d u a l Normal Probability PlotVersus Fits HistogramVersus Order Residual Plots for value

Rajeswari · Accepted Answer

IS 242 Exam #3					name: _________________________________
Question ONE:
         first  second  third  Total
cooks     25      30     20     75
       26.67   25.00  23.33
       0.104   1.000  0.476
cleaning  35      20     20     75
       26.67   25.00  23.33
       2.604   1.000  0.476
Waiters   20      25     30     75
       26.67   25.00  23.33
       1.667   0.000  1.905
Total     80      75     70    225
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.
The above give values are the results of a chi square test done with hypotheses as
H0:  Popularity of certain work shifts and the category , cooks,clea… etc are independent
Ha: Popularity and the work they do are dependent.
(Two tailed chi square test for independence of two categorical variables)
Result shows chi sq. 9.232 with p value = 0.056.
For significance level of 5% we have p value >alpha.
So fail to reject H0.  
The results do not deviate significantly from what would be expected because chi square has a p value greater than alpha.
Thus the results do not differ significantly is the conclusion.
The popularity of certain work shifts is independent of the work they do such as cooks, cleaning and wait staff.
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:  p = 0.50
Ha:   p ≠0.50
(Two tailed test for proportions of residents)
Note:  When residents proportion to total we assume as 50% then automatically this implies residents and non residents are equal.  So it is sufficient to check whether p = 0.50 against p not equal to 0.50)
Question THREE:
Given the mean height of centennial rose bushes is µ feet and the standard deviation is σ 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:

IS 242 Exam #3 name: _________________________________ Question ONE: XXXXXXXXXXfirst second third Total cooks XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX 23.33 XXXXXXXXXX 0.476 cleaning XXXXXXXXXX 75 XXXXXXXXXX...

Answer To: IS 242 Exam #3 name: _________________________________ Question ONE: XXXXXXXXXXfirst second third...

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