A company implemented a new sales management software program, hoping it will reduce the amount of time sales people spend on their computers. A sample of sales personnel computer usage before and after the new software implementation is provided below (also available for download here Computer.xlsx). At a 1% level of significance, can you conclude that the new software has reduced the amount of time sales people spend on their computers? YOU CAN ASSUME THE POPULATION TO BE NORMALLY DISTRIBUTED. Time Spent on Computer Employee ID Before New Software (hrs/wk) After New Software (hrs/wk) 91416 2.5 2 99305 5 5 82797 2.5 2.5 30838 6 6.5 13294 5 5 26278 9 8 74905 10 10 82358 7.5 8.5 79299 11 10.5 10243 6.5 5.5 21362 2 1 52331 8.5 8 86984 4 4 58264 4.5 5 56656 6.5 6 14778 4 4 70413 8.5 8 71094 6 7 83598 11 12 97170 3 3 20813 11 11 67218 8.5 8.5 24945 5.5 4.5 92186 3 3 84339 5 4 89381 6.5 6 41627 5.5 4.5 84214 10 9 98679 2 3 15551 11 12 35829 6 5 80666 7 7 94236 6.5 6 a) Properly state the mathematical hypotheses: b) p-value: c) Conclusion:
A company implemented a new sales management software program, hoping it will reduce the amount of time sales people spend on their computers. A sample of sales personnel computer usage before and after the new software implementation is provided below (also available for download here Computer.xlsx). At a 1% level of significance, can you conclude that the new software has reduced the amount of time sales people spend on their computers? YOU CAN ASSUME THE POPULATION TO BE NORMALLY DISTRIBUTED. Time Spent on Computer Employee ID Before New Software (hrs/wk) After New Software (hrs/wk) 91416 2.5 2 99305 5 5 82797 2.5 2.5 30838 6 6.5 13294 5 5 26278 9 8 74905 10 10 82358 7.5 8.5 79299 11 10.5 10243 6.5 5.5 21362 2 1 52331 8.5 8 86984 4 4 58264 4.5 5 56656 6.5 6 14778 4 4 70413 8.5 8 71094 6 7 83598 11 12 97170 3 3 20813 11 11 67218 8.5 8.5 24945 5.5 4.5 92186 3 3 84339 5 4 89381 6.5 6 41627 5.5 4.5 84214 10 9 98679 2 3 15551 11 12 35829 6 5 80666 7 7 94236 6.5 6 a) Properly state the mathematical hypotheses: b) p-value: c) Conclusion:
A company implemented a new sales management software program, hoping it will reduce the amount of time sales people spend on their computers. A sample of sales personnel computer usage before and after the new software implementation is provided below (also available for download here Computer.xlsx). At a 1% level of significance, can you conclude that the new software has reduced the amount of time sales people spend on their computers? YOU CAN ASSUME THE POPULATION TO BE NORMALLY DISTRIBUTED. Time Spent on Computer Employee ID Before New Software (hrs/wk) After New Software (hrs/wk) 91416 2.5 2 99305 5 5 82797 2.5 2.5 30838 6 6.5 13294 5 5 26278 9 8 74905 10 10 82358 7.5 8.5 79299 11 10.5 10243 6.5 5.5 21362 2 1 52331 8.5 8 86984 4 4 58264 4.5 5 56656 6.5 6 14778 4 4 70413 8.5 8 71094 6 7 83598 11 12 97170 3 3 20813 11 11 67218 8.5 8.5 24945 5.5 4.5 92186 3 3 84339 5 4 89381 6.5 6 41627 5.5 4.5 84214 10 9 98679 2 3 15551 11 12 35829 6 5 80666 7 7 94236 6.5 6 a) Properly state the mathematical hypotheses: b) p-value: c) Conclusion:
A company implemented a new sales management software program, hoping it will reduce the amount of time sales people spend on their computers. A sample of sales personnel computer usage before and after the new software implementation is provided below (also available for download here Computer.xlsx). At a 1% level of significance, can you conclude that the new software has reduced the amount of time sales people spend on their computers? YOU CAN ASSUME THE POPULATION TO BE NORMALLY DISTRIBUTED.
Time Spent on Computer
Employee ID
Before New Software (hrs/wk)
After New Software (hrs/wk)
91416
2.5
2
99305
5
5
82797
2.5
2.5
30838
6
6.5
13294
5
5
26278
9
8
74905
10
10
82358
7.5
8.5
79299
11
10.5
10243
6.5
5.5
21362
2
1
52331
8.5
8
86984
4
4
58264
4.5
5
56656
6.5
6
14778
4
4
70413
8.5
8
71094
6
7
83598
11
12
97170
3
3
20813
11
11
67218
8.5
8.5
24945
5.5
4.5
92186
3
3
84339
5
4
89381
6.5
6
41627
5.5
4.5
84214
10
9
98679
2
3
15551
11
12
35829
6
5
80666
7
7
94236
6.5
6
a) Properly state the mathematical hypotheses:
b) p-value:
c) Conclusion:
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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