Determine the value of s shown in the figure below, if the degrees of freedom were 7 and 9.
A)0.01
B)0.025
C)0.05
D)0.1

Question

Determine the value of  s shown in the figure below, if the degrees of freedom were 7 and 9. 
A)0.01 
B)0.025 
C)0.05 
D)0.1

Quizplus · Accepted Answer

Using a t-table with 7 degrees of freedom and a significance level of 0.05, the critical value is 2.365. Using a t-table with 9 degrees of freedom and a significance level of 0.025, the critical value is 2.306. Therefore, the intersection point of 2.365 and 2.306 is closest to 0.025, indicating a significance level of 0.025. Thus, the value of 11ebb61d_fbf7_587b_92a9_d728697b9317_TB8376_11 is 0.025 at this significance level. The value of 11ebb61d_fbf7_587b_92a9_d728697b9317_TB8376_11 with degrees of freedom 7 and 9 corresponds to a significance level of 0.025 or a two-tailed critical value of 2.306. This can be found using a t-distribution table or calculator. Therefore, the answer is B.

Determine the Value of S Shown in the Figure