Suppose Apple would like to test the hypothesis that the standard deviation for the web-browsing battery life of the iPad equals 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 equals 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 should be about the variance (σ²) since the standard deviation is squared to get the variance. The null hypothesis should state that the variance equals 9.0 (since 3.0 squared is 9.0), and the alternative hypothesis should state that the variance is not equal to 9.0.

Suppose Apple Would Like to Test the Hypothesis That the Standard