Question

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.

Answer 1

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)