6. An investment banking firm was considering two spreadsheet software for possible use in its large data analysis operations. A sample of 20 typical analysis problems were carried out using both software on the firm’s standard personal computer. The time in minutes needed to load the data, program the spreadsheet calculations, carry out the analysis, and print the results was recorded for each problem for each software. The data for software A are stored in column 1 of the Excel data file named “Banking Spreadsheet.” The corresponding data for software B are stored in column 2. Each of the rows corresponds to one of the 20 problems. After conducting statistical tests on the mean of the differences in the minutes taken by the two software, a data analyst for the company concluded that there is no substantive difference between the two software in terms of the speed with which they process the data. In other words, he thought the mean of the differences in the minutes taken by the two software is statistically negligible. As a result he decided to recommend software B because he thought it is more user-friendly than software A. Using the same data and at 1% level of significance, please conduct the test you think the analyst’s recommendation must have been based on. Based on your results would you agree with the analyst’s conclusion? Does your conclusion change at 10% level of significance? Please show all the necessary steps and justify your answer in each case
Spreadsheet A |
Spreadsheet B |
10 |
10 |
23 |
23 |
24 |
24 |
19 |
17 |
21 |
12 |
26 |
22 |
14 |
13 |
19 |
16 |
12 |
18 |
35 |
28 |
34 |
25 |
23 |
28 |
28 |
27 |
24 |
20 |
38 |
33 |
20 |
20 |
31 |
27 |
29 |
24 |
35 |
28 |
24 |
25 |
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