The one-sample t statistic for testing H0: = 20 Ha: < 20 based on n = 13 observa

Question

The one-sample t statistic for testing

H0: = 20

Ha: < 20

based on n = 13 observations has the value t = 2.45.

(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) Ans: 0.01 < P < 0.02

(c) P-value=P(t<-2.45)= 0.0153 (using Excel)

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