The one-sample t statistic for testing H0: = 60 Ha: 60 from a sample of n = 25 o

Question

The one-sample t statistic for testing H0: = 60 Ha: 60 from a sample of n = 25 observations has the value t = 2.15.

(a) What are the degrees of freedom for t?

(b) Locate the two critical values t* from the t distribution critical values table 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 = 2.15 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 for t = n - 1 = 25 - 1 = 24

b) two critical values t from the t ddistribution critical values table -2.064 < t < 2.064

c) The P-Value is .041844.

The result is significant at p < .05.

Therefore, p value is between 0.04 < p < 0.05

d) yes,   the value t= 2.15 is statistically significant at 5% level .

No, It is not significant at 1% level of significance.

P value 0.0418

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