Hi
I'm not really sure where to start for this question..

Q.
A random sample is obtained from a normal population with unknown mean μ, but with known variance.
We test the hypothesis H0: μ=μ0 and compute a 95% confidence interval for μ based on the sample.
The diagram below represents the null-hypothesis value μ0 and the 95% confidence interval based on x.bar.
For a test of H0 (against a two-sided alternative), the p-value is closest to

The image is attached

a. 0.01
b. 0.003
c. 0.03
d. 0.3
e. 0.1

All the answers except b would imply an acceptance of the null. You should think if the observed sample (with average xbar) implies the rejection of the null or not! (I think so...)

Originally Posted by mmgg
All the answers except b would imply an acceptance of the null.
This is not true. Using an alpha of .05 then either a, b, or c would result in rejecting the null.

Full agreement with Dason. And I couldn't see the image. And this may be HW and if this is the case you should tell us so we can help you learn and understand.