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If you are using the t distribution to perform a one-sided hypothesis test for the mean...

If you are using the t distribution to perform a one-sided hypothesis test for the mean of a normal distribution based on a sample of 10 observations, and the test statistic is 2.26, then the p-value of this test is …. .

0.024

0.025

0.05

0.012

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Answer #1

Solution :

Sample size (n) = 10

Degrees of freedom = (10 - 1) = 9

The value of the test statistic is 2.26.

Since, our test is one sided, therefore we shall obtain one sided p-value for the test statistic. The one sided p-value is given as follows :

p-value = P(T > value of the test statistic)

p-value = P(T > 2.26)

Using "T.DIST" function of excel we get, P(T > 2.26) = 0.025

p-value = 0.025

The p-value of the test is 0.025.

Please rate the answer. Thank you.

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