Master of Business Administration in Management


STAT 500 Statistics for Managers


 


 


1.          Applying Six Sigma total quality management technique learned in the course to your workplace, identify a product or service whose quality needs to be monitored and controlled. (20 %)


a) Set up control chart(s) for the product or service studied.


b) On the basis of your results, indicate whether the process is in control.


c) What is your recommended policy if the process is in control or NOT in control?


 


 


7.     A large mail-order house believes that there is an association between the weight of the mail it receives and the number of orders to be filled. It would like to investigate the relationship in order to predict the number of orders based on the weight of the mail. From an operational perspective, knowledge of the number of orders will help in the planning of the order-fulfillment process. A sample of 25 mails shipments is selected within a range of 200 to 700 pounds. The results are as follows: (20 %)


 


 


 


 


 


 


 


 


 


Weight of


Orders


Weight of


Orders


Weight of


Orders


 


Mail (lbs)


(in 0)


Mail (lbs)


(in 0)


Mail (lbs)


(in 0)


 


216


6.1


384


10.6


528


16.2


 


283


9.1


404


12.5


501


15.8


 


237


7.2


426


12.9


628


19


 


203


7.5


482


14.5


677


19.4


 


259


6.9


432


13.6


602


19.1


 


374


11.5


409


12.8


630


18


 


342


10.3


553


16.5


652


20.2


 


301


9.5


572


17.1


 


 


 


365


9.2


506


15


 


 


 


 


 


 


 


 


 


a)     Assuming a linear relationship, use the least-squares method to find the regression coefficients, the vertical intercept and the slope.


            b)         Interpret the meaning of the vertical intercept and the slope.


            c)         Predict the average number of orders when the weight of the mail is 500 pounds.


            d)         Is your prediction in ( c ) reliable? Explain


 


 


 


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