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
4 480 539
5 530 604
6 467 540
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

Paired sample t-Test has been utilized to test the hypothesis. Following are the steps followed:

The following table is obtained:

Thus, at 0.05 significance level, there is not enough evidence to claim that Krapple, on average, has a longer battery life.

Please note: P-value = 0.0995 for t = -1.348 and df = 15-1 = 14 was obtained using excel function =T.DIST(-1.348,14,TRUE)


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