Using a 5% level of significance and a sample size of 25, what is the critical t value for a null hypothesis, H0: µ ≤ 100? Select one: a. 1.708 b. 1.711 c. 2.060 d. 2.064

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Mathematics

Ruthie

1 March, 19:14

Using a 5% level of significance and a sample size of 25, what is the critical t value for a null hypothesis, H0: µ ≤ 100? Select one: a. 1.708 b. 1.711 c. 2.060 d. 2.064

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Answers (2)

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Josephine Frost · Answer 1

D. 2.064

Step-by-step explanation:

Number of sample (n) = 25, degree of freedom = n - 1 = 25 - 1 = 24, significance level = 0.05

The critical t value corresponding to 24 degrees of freedom and 0.05 significance level is 2.064

Zachery Mcintyre · Answer 2

Answer: correct option is B in which the critical value is 1.711

Step-by-step explanation:

The above question is a t distribution for single sample size. It is t distribution because the sample size is less than 30.

To get the critical value, find the degree of freedom (N-1), where N is the sample size and check at level of significant if 0.05. From the t distribution table, the critical value is 1.711