The one-sample t statistic for testing H0: = 20 Ha: < 20 based on n = 13 observa
ID: 2935650 • Letter: T
Question
The one-sample t statistic for testing
H0: = 20
Ha: < 20
based on n = 13 observations has the value t = 2.54.
(a) What are the degrees of freedom for this statistic?
(b) Between what two values does the P-value of the test fall? (You may use the t distribution critical values table.) 0.005 < P < 0.01
0.01 < P < 0.02
0.02 < P < 0.025
0.025 < P < 0.05
0.05 < P < 0.1
(c) If you have software available, find the exact P-value. (Round your answer to four decimal places.)
Explanation / Answer
a)
degrees of freedom = n -1 = 13 -1 = 12
b)
p value from test statistics is 0.01296915.
0.01 < p < 0.02
c)
Exact p value = 0.0130 ( rounding to four decimal places)
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