Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

27. A manufacturer claims its Brand A battery lasts longer than its competitor's Brand B battery. Nine batteries of
each brand are tested independently, and the hours of battery life are shown in the table below.
Brand A
Brand B
88
80
85
79
80
77
81
82
72
75
90
81
85
77
85
73
84
78
Provided that the assumptions for inference are met, which of the following tests should be conducted to
determine if Brand A batteries do, in fact, last longer than Brand B batteries?
(A) A one-sided, paired 1-test
(B) A one-sided, two-sample t-test
(C) A two-sided, two-sample t-test
(D) A one-sided, two-sample z-test
(E) A two-sided, two-sample z-test

Sagot :

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:

[tex]H_0: \mu_A - \mu_B \leq 0[/tex]

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

[tex]H_1: \mu_A - \mu_B > 0[/tex]

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 https://brainly.com/question/13873630

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.