Question

Find the critical value and rejection region for the type of t-test with level of significance α and sample size n. Two-tailed test, α = 0.1, n = 36

Answer 1

t crit

1.6896

(a) Critical Value
Based on the information provided, the significance level is α=0.1, and the degree of freedom is n-1=36-1=35. Therefore the critical value for this Two-tailed test is tc​=1.6896. This can be found by either using excel or the t distribution table.

(b) Rejection Region
The rejection region for this Two-tailed test is |t|>1.6896 i.e. t>1.6896 or t<-1.6896

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