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Question 15 (1 point)Refer to Exhibit 3. The 95% confidence interval for the difference between the two population means is:-3.776 to 1.776-2.776 to 2.776-1.776 to ...

Question

Question 15 (1 point)Refer to Exhibit 3. The 95% confidence interval for the difference between the two population means is:-3.776 to 1.776-2.776 to 2.776-1.776 to 2.776to 3.77622 to 0

Question 15 (1 point) Refer to Exhibit 3. The 95% confidence interval for the difference between the two population means is: -3.776 to 1.776 -2.776 to 2.776 -1.776 to 2.776 to 3.776 22 to 0



Answers

We have presented a confidence interval (CI) for the difference, $\mu_{1}-\mu_{2}$, between two population means. Interpret each confidence interval. $95 \%$ CI is from -20 to -15

In this exercise, we're going to be interpreting the 95% confidence interval for new one minutes Mewtwo Given to be from 15 to 20. So in this case, if this is the given confidence interval, we can interpreted as follows that we are 95% confident that the difference between the two population means me one minus mewtwo lies somewhere between 15 And 21, so the difference lies between 15 and 21. Alternatively, we could say that we are 95% confidence That new one is somewhere between 15 and 20 greater than you two, So me one is greater than you two in the sense that me one is greater than you two, uh by 15 Between 15 and 20.

This exercise, we're going to be interpreting the 99% confidence interval for the difference between the population means me one minus mu too. If it's given to range from negative 22 15, no, we can say that we are 99% confident that new one minus me to lies somewhere between negative 20 and 15. Alternatively, we could say that we are 99% confidence that new one is somewhere between 20 less than Mewtwo and 15 More than a mere two. So it's possible for for me one To be less than YouTube and it's also possible for me want to be more than YouTube. So it's somewhere in between 20 less than Mewtwo and 15 more than uh Mewtwo.

Exercise we're going to be interpreting the 99% confidence interval for the population mean difference. New one minus mutual If it is given to range from negative 10 to 5. So we could interpret this as follows, we could say that we are 99% confident that new one minus meWTwo lies somewhere between negative 10 to 5. Alternatively, we could say that we are 99% confident that new one, he's somewhere between 10 less than you too and five more than need to. So it's possible for new one to be Less than YouTube and also more than you two. So the range is uh somewhere between 10 less than you, two and five more than.

In this exercise, we're going to be interpreting The 90% confidence interval for the population. Mean difference me one minus mewtwo Being given to range from -10 to -5. No, this means we can be 90% uh confident That me one when this mewtwo lies somewhere between -10 and -5. In other words, we could say that we are 90% confident that new one is somewhere between five and 10. Less than me too, so NEW one is less than new two by how much something between five and 10.


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