In order to compare two computer software packages, a manager has 15 individuals use each software package to perform a standard set of tasks typical of those encountered in the office.

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QUESTION 1( 15 MARKS)

In order to compare two computer software packages, a manager has 15 individuals use each software package to perform a standard set of tasks typical of those encountered in the office. Of course, in carrying out the comparison the manager was careful to use individuals who did not have an established preference of skill with either type of software, and 15 individuals were randomly selected to use software A first while the other  15 used software B first. The time required to perform the standard set of tasks, to the nearest minute, is reported in Table 1. Test the null hypothesis that there is no difference between the mean time required to perform the standard tasks by the two software packages, using the 5% level of significance.

Table:1

Individual

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Software A

12

16

15

13

16

10

15

17

14

12

13

14

10

11

15

Software B

10

17

18

16

19

12

17

15

17

14

17

11

18

15

13

 

QUESTION 2 (10 MARKS)

Table 2  below presents the output for sample data relating the number of study hours spent by students outside of class during a three week period for a course in Business Statistics and their score in an examination given at the end of that period. 


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