Question

In: Statistics and Probability

A technical engineer is interested in understanding the battery life of two different laptops for student...

A technical engineer is interested in understanding the battery life of two different laptops for student usage at a community college in California. The two models he has are Madroid and Krapple. He randomly assigned students to one of the laptop models and recorded the number of minutes the students were able to use the computer until the battery ran out. Below is the data collected.

Student # Madroid Krapple
1 540 575
2 380 525
3 420 583
4 480 680
5 530 628
6 467 680
7 465 640
8 498 630
9 482 725
10 309 780
11 609 530
12 504 280
13 590 350
14 403 376
15 602 540

Does the technical engineer have statistically significant evidence to present to the university budget committee to purchase Krapple because it has, on average, a longer battery life?

Provide the p-value from your analysis

Solutions

Expert Solution

Here we have paired data so paired t test should be used.

Let d = Krapple - Madroid

Following table shows the calculations:

Krapple Madroid d (d-mean)^2
575 540 35 2291.5369
525 380 145 3860.1369
583 420 163 6420.8169
680 480 200 13719.4369
628 530 98 228.9169
680 467 213 16933.8169
640 465 175 8487.9369
630 498 132 2413.7569
725 482 243 25641.6169
780 309 471 150644.8969
530 609 -79 26201.8969
280 504 -224 94169.1969
350 590 -240 104245.0369
376 403 -27 12071.4169
540 602 -62 20987.3169
Total 1243 488317.7335

Conclusion: The technical engineer do not have statistically significant evidence to present to the university budget committee to purchase Krapple because it has, on average, a longer battery life.

P-value = 0.0538

orchestra answered 10 months ago
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