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Sony wrote at 2015-02-16 08:20:16
Before extending credit, ascertaining and analyzing the credit worthiness of

Sony wrote at 2015-02-16 08:21:52

1. A random sample of 1000 workers from south India shows that their mean wage

is Rs. 47 per week with a standard deviation of Rs. 28. A random sample of

1500 workers from North India gives a mean wage of Rs. 49 per week with a

standard deviation of Rs. 40. Is there any significant difference between their

mean levels of wages?

2. A tea company appoints four salesmen A, B, C, D and observes their sales in

three seasons – summer, winter and monsoon. The figures ( in lakhs ) are given

in the following table:

seasons Salesmen S e a s o n ’ s

Total

A B C D

summer 36 36 21 35 128

winter 28 29 31 32 120

monsoon 26 28 29 29 112

Salesmen’s Total 90 93 81 96 360

Test whether there is any significant difference in the salesman and in the

seasons, so far as sales are concerned.

Sony wrote at 2015-02-16 08:24:33
3. Fit a straight line trend by the method of least squares to the following data

concerning the sales of a certain firm.

Year 2005 2006 2007 2008 2009 2010 2011 2012 2013

Sales

Rs(‘000)

48 55 63 65 72 84 90 87 82

Make an estimate of sales for the year 2015.

4. A sample of 400 students of undergraduate and 400 students of postgraduate

classes is taken to know their opinion about autonomous colleges. 290 of the

status. Present these facts in the form of a table and test at 5% level, that the

opinion regarding autonomous status of colleges is independent of level of

classes of students.

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#### Leo Lingham

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