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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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