Question

We have created a 95% confidence interval for µ with the result (10, 16). What conclusion...

We have created a 95% confidence interval for µ with the result (10, 16). What conclusion will we make if we test H0: µ = 16 versus HA: µ ≠ 16 at α = 0.05?

Reject the null hypothesis.

Accept the null hypothesis.

Fail to reject the null hypothesis.

Reject the alternative hypothesis.

No decision can be made from the information given.

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Answer #1

Solution :

Given that ,

A 95% confidence interval for µ with the result (10, 16) .

population mean is contained in Confidence interval .

The conclusion is :

Fail to reject the null hypothesis.

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