what is the probability of a difference between the means being as large as was obtained, if the null hypothesis is true

Answer :

The answer to the given question is 6.3%. The the probability of a difference between the means being as large as was obtained is 6.3% if the null hypothesis is true.

What is null hypothesis?

The hypothesis that there is no difference between the sample means is called the null hypothesis. What does it mean by “no difference”? Chance will almost surely ensure that there is some difference between the sample means, for they are most improbable to be identical.

Accordingly we set limits within which we should regard the samples by not having any significant difference. If we put the limits at twice the standard error of the difference, and consider a mean outside this range as coming from another population, we should on average be wrong about one time in 20 if the null hypothesis is actually true.

If we acquire a mean difference bigger than two standard errors we are given on to two choices: either an uncommon event has occured, or the null hypothesis is invalid. Visualize flipping a coin five times and getting the same side every time. This has almost the same probability (6.3%) as getting a mean difference bigger than two standard errors when the null hypothesis is true.

Learn more about null hypothesis at: https://brainly.com/question/28920252

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