Attempt any 5 cases ,equal marks for all cases.
CASE-1
(16 Marks)
A professor is interested in following whether the "good" students finish the test earlier or later than the others in the class. He observes a particular test and gets the following data given below
If 'good' students are those who get 90 and above, can the professor conclude that good students finish the test randomly (use a 5% level of significance) ?Explain
Order of
Marks Scored finishing test
1 - 10
94 70 85 89 92 98 63 88 74 85
11 - 20
69 90 57 86 79 72 80 93 66 74
21 - 30
50 55 47 59 68 63 89 51 90 88
CASE-2
(16 Marks)
The weight (gms) of 31 books picked from a consignment are as follows:
106, 107, 76, 82, 106, 107, 175, 93, 187, 95, 123, 125, 111, 92, 86, 70, 127, 68, 130, 129, 139,
119,115, 128, 100, 186, 84,99, 113, 204, 111
Test whether this sample may be treated as random? Briefly explain?
Case-3
(16 Marks)
A local supermarket has experienced a decline in unit sales and little change in rupee value sales.
Profits have almost vanished. The chief executive in searching for ways to revitalize the operation, was advised to increase the number of hours the market is open for business. He comes to you for advice in structuring a research problem that will provide relevant information for decision making, Define the research problem taking care to:
(a) state the relevant question.
(b) enumerate the alternative answers.
(c) clearly define the units of analysis and characteristics of interest.
CASE-4
(16 Marks)
According to the National Retail Federation and Center for Retailing Education at the University of
Florida, the four main sources of inventory shrinkage are employee theft, shoplifting, administrative error, and vendor fraud. The estimated annual dollar amount in shrinkage ($millions) associated with each of these data sources are as follows
Employee theft
Shop lifting
$ 17918.6
$