From a onesample t test for testing the hypotheses below a s

From a one-sample t test for testing the hypotheses below, a sample of n = 28 observations has a t test statistic = 2.

H₀: = 0
H_a: > 0

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

(b) From the t table what values does the P-value fall between? (Hint:Lower First)
< P-value <  

(c) Is the t test statistic = 2 significant at the 5% level?

YesNo    

Is it significant at the 1% level?

YesNo

Solution

df = n - 1 = 28 - 1 = 27 [ANSWER]

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B.

Using a table, we see that in the df = 27 row, t = 2 is between the columns of p values

0.01 < P < 0.05

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C.

As P < 0.05, YES, IT IS SIGNIFICANT.

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As P > 0.01, NO, IT IS NOT SIGNFICANT.