A 95% confidence level for the difference between u1 and u2 runs from -2 to +6. From this we can infer that
a. u1 is probably greater than u2.
b. u1 is probably less than u2.
c. there may be no difference at all between u1 and u2.
d. the difference between u1 and u2 is not very large in any case.
With your limited data, I would pick C, because the confidence level includes zero.
Thanks - that is what I picked.
Hmm....One has a 1 and the other one has a 2. That's a good riddle. Needs improv. Isn't this a HOMEWORK HELP website?
Your welcome!
That is RIDICULOUS!!! You should be reported.
Kevin, C is the right answer. I am a teacher. I taught this before.
In order to infer the correct answer, we need to understand what a 95% confidence level means.
A 95% confidence level indicates that we are 95% confident that the true population parameter falls within the specified range. In this case, the difference between u1 and u2 is estimated to be between -2 and +6, with a 95% confidence level.
Now, let's analyze the answer choices:
a. u1 is probably greater than u2.
Since the range includes positive values (+6), it is possible that u1 is greater than u2, but we cannot say for certain based on this information. Therefore, this option is not necessarily correct.
b. u1 is probably less than u2.
Similarly, since the range includes negative values (-2), it is possible that u1 is less than u2, but we cannot say for certain based on this information. Therefore, this option is not necessarily correct.
c. there may be no difference at all between u1 and u2.
This option seems to be the most likely correct answer. Since the range includes zero, it suggests that there may be no significant difference between u1 and u2.
d. the difference between u1 and u2 is not very large in any case.
This option is a reasonable inference from the given information. Since the range (-2 to +6) is relatively narrow, it suggests that the difference between u1 and u2 is not very large.
Therefore, based on the information provided, the correct answer is c. there may be no difference at all between u1 and u2, and d. the difference between u1 and u2 is not very large in any case.