Question

You are asked to construct a 95 percent confidence interval for a mean and construct it

to be (0.22, 1.35). You then get another set of data, which you believe is from the same

distribution, that gives an average of 1.40. Is this consistent with the confidence interval

that you constructed?

Answer 1

Solution:

NO. Because the value 1.40 is not in the interval  (0.22, 1.35)

Explanation: Claim is that "an average of 1.40"

H0 : = 1.40 vs H1 :    1.40

95% confidence interval is (0.22, 1.35) .

The value 1.40 is out of interval. So we reject the null hypothesis H0 :   = 1.40

So , answer is NO