Question

A new software package is being developed and tested to help analysts reduce the time required...

A new software package is being developed and tested to help analysts reduce the time required to design, develop, and implement a new information system. To evaluate the benefits of the new software package, a random sample of 24 systems analysts is selected. Each analyst is given specifications for the new information system. Twelve analysts are instructed to produce the information system by using current technology. The other 12 analysts are trained in the use of the new software package to be used to produce the information system. The following data represent the completion times:
Current Technology New Software
300 274
280 220
344 308
385 336
372 198
360 300
288 315
321 258
376 318
290 310
301 332
283 263
Using a .025 level of significance, test whether the current technology took longer than the new software to complete the project. Show the following in your report:
1. Ho & Ha
2. p-value
3. Reject/don't reject Ho based on comparison of p-value to alpha.
4. Your conclusion, specific to the problem statement with respect to whether the new software should be replacing the current technology
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Answer #1

Let denote the average time taken by the current technology and new software respectively.

Conclusion : There is sufficient evidence to support the claim that he current technology took longer than the new software to complete the project. and that leads to conclusion that  the new software should be used to replace the current technology.

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