The one-sample t statistic for testing H0: = 40 Ha: 40 from a sample of n = 18 o
ID: 3046479 • Letter: T
Question
The one-sample t statistic for testing
H0: = 40
Ha: 40
from a sample of n = 18 observations has the value t = 2.76.
(a) What are the degrees of freedom for t?
(b) Locate the two critical values t* from the Table D that bracket t. < t <
(c) Between what two values does the P-value of the test fall? 0.005 < P < 0.01 0.01 < P < 0.02 0.02 < P < 0.04 0.04 < P < 0.05 0.05 < P < 0.1
(d) Is the value t = 2.76 statistically significant at the 5% level? Yes No
Is it significant at the 1% level? Yes No
(e) If you have software available, find the exact P-value. (Round your answer to four decimal places.)
Explanation / Answer
a) degree of freedom =n-1
=18-1=17
b)it is two tailed test
At 0.05, critical values are - 2.1098,+2.1098
At 0.01 : critical values are -2.8982,+2.8982
C)0.01<p<0.02
D)
The P-Value is .013384.
Yes The result is significant at p < .05. and
Yes at p<0.01
E) p=0.013384
=0.0134
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