Question 911:

Asked on December 3, 2011

Tags: t-statistic , Critical Value

1

Answer:

No answer provided yet.We will use the t-distribution here to find the critical value. We can use a t-table or look up the value using Excel or using the online calculator here:

It is unclear from the question where the alpha is for the total value or just the 1-side. So I will assume it is for just 1 side (meaning not alpha of .02).

We use the excel function =TINV(.01, 24) which are the alpha value and the degrees of freedom 24 (25-1).

We get a critical statistic of 2.79 but the negative direction makes the critical value -2.79. This means we'd reject the Null hypothesis if the test statistic fell below -2.79.