Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

When we use statistical software to compare the means with a significance test, we obtain the following printout: Variance T DF Prob>|T| Unequal 2.9146 41.9 0.006 1.3.1 Interpret the P-value, in context, based on its definition. (Note: You are not being asked to make a decision at some α-level.

Sagot :

The interpretation of the p-value is that there is a 0.006 = 0.6% probability of the sample means differing by the amount that they differed on the sample.

What are the hypothesis tested?

At the null hypothesis, it is tested if the means are equal, that is:

[tex]H_0: \mu_1 = \mu_2[/tex]

At the alternative hypothesis, it is tested if the means are different, that is:

[tex]H_1: \mu_1 \neq \mu_2[/tex]

Since we are testing if the means are different, we have a two-tailed test, which means that the p-value is the probability of the means differing by the amount they different on the sample, or a greater amount.

Hence, the interpretation is that there is a 0.006 = 0.6% probability of the sample means differing by the amount that they differed on the sample.

More can be learned about p-values at https://brainly.com/question/16313918

#SPJ1

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.