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

ID: 3339241 • 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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