Suppose you are an operations manager for a plant that manufactures batteries. Explain how you can use descriptive

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

(a)   Find the basic feasible solution by at least three different methods for the following transportation problem : (10marks)

 

From / To	A	B	C	B	Availability
F1	10	7	3	6	3
F2	1	6	7	3	5
F3	3	7	4	5	6
Demand	3	7	6	4

(b) Suppose you are an operations manager for a plant that manufactures batteries. Explain how you can use descriptive and inferential statistics in the industry.(10marks)

QUESTION TWO

(a)    The Bureau of labor statistics wants to use statistics to determine whether there is difference between two countries on some measure of labor or between time periods for one country. The bureau reports that hourly compensation rates in US dollars for manufacturing production workers in country ‘A’ in 2015 and 2019 were $25.96 and $28.29 respectively. Hourly compensation rates for country ‘B’ over same period of time were $19.26 in 1995 and $23.89 in 2004. According to the survey by labor department the hours actually worked by employees per week in country A in 2015 were 36.1 and were 35.5 in 2019. For country B the figures were 37.1 in 2015 and 35.9 in 2019.

i. How will you help the department statistically to find whether the hourly labor cost in country A in 2019 was significantly higher than the 2019 hourly labor cost in country B based on given figures?

ii. How will you help the department statistically to find whether the difference between the two countries’ average workweek is significant or not?

 

(b)  Discuss the various errors in Hypothesis Testing. Also, explain the Significance Level Confidence Level and Degrees of Freedom.(10marks)

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