Question

Respond to the following in a minimum of 175 words: An important part of using statistics is being able to explain your results to decision makers. Imagine that you have conducted a two-sample test and determined that the difference was not statistically significant. While one mean was 4.3 and the other was 3.9, the p level for the t test was p=.07. Your management team says, “Well, the difference may not be statistically significant, but the difference is there! Discuss how you would respond and how you would explain the purpose of the t test and significance in this case.

Answer 1

SOLUTION:

Given data:

,

The difference is due to 2 reasons:-

Difference due to statistical nature of the problem i.e, The differences is due to random variation and not due to any assaignable cause.

Differences is due to an assiagnable cause.

In this case the difference is due to random errors only and there are no assignable causes. The difference is statistically insignificant.

Here, the difference is there. This is accepted.In fact , in all experiments , diff will always be true.

But the question is : whether the difference is beyond tolerance.

If it is beyond statistical siginificance , it is attributed to external cause and we should not neglect the difference.

Otherwise we can conclude that there is no significance difference.