TEB1093/ SDB2133
Test 3
Answer ALL questions.
1.
Max. Marks: 40
Time: 60 minutes
A management consultant reported that, in on average employees spend
53 minutes a day making personal use of company Property. Suppose
that a Chief Executive Officer (CEO) of a large corporation wants to
determine whether the average amount of time spent on personal use of
company property for their employees is different from 53 minutes. Each
person in a random sample of 15 employees was asked about daily
personal use of company property and the data (in minutes) are 53, 57,
50, 92, 55, 58, 54, 60, 52, 59, 62, 60, 60, 51 and 56. Test this claim at
the significance level of 5%.
[10 marks]
2.
A sample of 40 observations is selected from one population with a
population variance of 25 with a sample mean of 102. A sample of
50 observations is selected from a second population with a
population variance of 36 with a sample mean of 99. Conduct the test
of hypothesis that claims that there will be no significance difference
between these two populations at the 0.05 significance level.
[10 marks]
3.
Given the following sample information, test the hypothesis that the
treatment means are equal at the 5% level.
Treatment 1:
27
25
29
26
Treatment 2:
25
28
30
27
24
Treatment 3:
24
19
22
21
26
Treatment 4:
30
33
31
[20 marks]
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