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 constructing the 99% and 90% confidence intervals for
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, please calculate and interpret the
confidence intervals upon which the analyst’s recommendation was based. Based on your
results would you agree with the analyst’s conclusion? Please justify your answer.
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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