The one-sample t statistic for testing the hypotheses below from a sample of n =

Question

The one-sample t statistic for testing the hypotheses below from a sample of n = 31 observations has the value t = 1.83.

Ho: = 0
Ha: > 0

(a) What are the degrees of freedom for this statistic?
df = ______

(b) Give the two critical values t * from Table C that bracket t. (Use 3 decimal places.)
______ < t <  ______

What are the one-sided P-values for these two entries?
______ < P-value < ______
(c) Is the value t = 1.83 significant at the 5% level?

Yes/No     

Is it significant at the 1% level?

Yes/No

Explanation / Answer

a) degrees of freedom for this statistic is (n-1) =30 d.f

b) t critical value at 30 df is 1.6972

P value =0.039

c) P value=0.039 and alpha=0.05

P<alpha. we reject the Null hypothesis. Hence It is significant

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