The one-sample t statistic for testing the hypotheses below from a sample of n =
ID: 3149981 • Letter: T
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