Suppose Apple would like to test the hypothesis that the standard deviation for the web-browsing battery life of the iPad is different from 3.0 hours. The following data represents the battery life, in hours, experienced by a random sample of six users: 10 14 12 16 10 6.
Which of the following would be the correct hypothesis test?

Question

Suppose Apple would like to test the hypothesis that the standard deviation for the web-browsing battery life of the iPad is different from 3.0 hours. The following data represents the battery life, in hours, experienced by a random sample of six users: 10 14 12 16 10 6. Which of the following would be the correct hypothesis test? A) H₀: σ² ≤ 3.0, H_A: σ² > 3.0 B) H₀: σ = 3.0, H_A: σ ≠ 3.0 C) H₀: σ² ≥ 9.0, H_A: σ² < 9.0 D) H₀: σ² = 9.0, H_A: σ² ≠ 9.0

Quizplus · Accepted Answer

The hypothesis test is about the standard deviation, so we square it to get variance. The null hypothesis should state that the variance is equal to 9.0 (since 3.0 squared is 9.0), and the alternative hypothesis should state that it is not equal, indicating a two-tailed test.

Suppose Apple Would Like to Test the Hypothesis That the Standard