Part III. Short Answers (4 Points Each) Find the t-value for the following assum
ID: 3322613 • Letter: P
Question
Part III. Short Answers (4 Points Each) Find the t-value for the following assuming a two-tailed hypothesis test. .02 df-64, and alpha b, n#11, and alpha = .01 c. df 42, and alpha ,05 d, n=4, and alpha = .20 e. df 59 and alpha .10 what is the critical value of t for a two-tailed test with a null hypothesis = 65, = .10 and n = 150? what is the critical value of t for the alternative hypothesis and a sample size of 38? g, 50, -.05 What is the critical value of z for the alternative hypothesis and a sample size of 225? 50, a .10Explanation / Answer
As we are finding critical values for a two tailed test, we divide the level of significance by 2 and find the cumulative probability from the t distribution tables as:
a) Here, we get from the tables that:
P( t64 > 2.386 ) = 0.01
Therefore, 2.386 is the t-value required here.
b) Here, we get from the tables that: ( for n-1 = 10 degrees of freedom )
P( t10 > 3.169 ) = 0.005
Therefore, 3.169 is the t-value required here.
c) Here, we get from the tables that:
P( t42 > 2.018 ) = 0.025
Therefore, 2.018 is the t-value required here.
d) Here, we get from the tables that: ( for n-1 = 3 degrees of freedom )
P( t3 > 1.638 ) = 0.1
Therefore, 1.638 is the t-value required here.
e) Here, we get from the tables that:
P( t59 > 1.671 ) = 0.05
Therefore, 1.671 is the t-value required here.