Question

27. A manufacturer claims its Brand A battery lasts longer than its competitor's Brand B battery. Nine batteries of

Answer 1

According to the desired test, the test that should be conducted is:

• (B) A one-sided, two-sample t-test

Test:

• At the null hypothesis, it is tested if Brand A batteries do not last longer than Brand B batteries, that is, the result of the subtraction is of at most 0:

$H_0: \mu_A - \mu_B \leq 0$

• At the alternative hypothesis, it is tested if it is greater, that is:

$H_1: \mu_A - \mu_B > 0$

The factors determining the test used are as follows:

• We can find the standard deviation for the sample, hence a t-test is used.

• There are two samples, the lifetimes for batteries A and for batteries B, hence, a two-sample test is used.

• We are testing if one mean is greater than another, and more than/less than tests are one-sided.

• Hence, option B is correct.

You can learn more about test hypothesis at brainly.com/question/13873630