According to the desired test, the test that should be conducted is:
- (B) A one-sided, two-sample t-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:
- At the alternative hypothesis, it is tested if it is greater, that is:
The factors determining the test used are as follows:
- We can find the <u>standard deviation for the sample</u>, 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