The one-sample t statistic for testing H0: = 20 Ha: < 20 based on n = 15 observa

Question

The one-sample t statistic for testing H0: = 20 Ha: < 20 based on n = 15 observations has the value t = 2.57. (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

LEFT TAILED          
Critical Value
The Value of t at 0.01 LOS with n-1 = 19 is -2.539          
P-Value : Left Tail - Ha :( P < -2.57) = 0.0094          

[ANSWER]
a.
degrees of freedom n-1 = 19

b.
0.005 < P < 0.01
c.
0.0094  

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