Question

Suppose you want to test H0: mu >= 30 versus H1: mu < 30. Which of the following possible sample results based on a sample size of 36 gives the strongest evidence to reject H0 in favour of H1?

A. X bar = 26, S = 9
B. X bar = 27, S = 4
C. X bar = 32, S = 2
D. X bar = 28, S = 6

Answer 1

Sample which will give the lowest t-value will provide the strongest evidence to reject H0 in favour of H1 as it is a left-tailed test. So,

A.

B.

C.

D.

As we can see that sample B provides the lowest t-value and thus strongest evidence to reject H0 in favour of H1.

i.e. Option B

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