_
x = 61.7, = 14
:
:
No, we cannot reject the claim at because z
is neither less than -1.96 nor greater than 1.96.
We could also do it by computing the p-score, the probability
that xBAR would be at least as far off from 65 as 61.7 if the mean
were actually 65.
To find that p-score we find the area to the left of the z-score -1.29
as .5-.4015=.0985 and double it since this is a two-tail test. That
gives the p-score of .197.
So we would only reject the null hypothesis if it were that .
But is lower that that, only .05.
Edwin