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We find the 95% confidence interval for a mean is (25.2, 26.7). If we test H0...

We find the 95% confidence interval for a mean is (25.2, 26.7). If we test H0 : µ = 25 against H1 : µ 6= 25 at the 5% level what is our conclusion? Possible answers are: reject H0, accept H0, can’t tell.

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Answer #1

The 95% confidence interval for a mean is (25.2, 26.7)

Since the value 25 is not contained in this interval, so at 5% level of significance, we have sufficient evidence to reject the null hypothesis H0.

So, we reject H0.

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