Answer to Question #290796 in Statistics and Probability for Chedric

Question

FIND THE VALUES FOR EACH OF THE FF. CASES:

A. UPPER TAIL AREA OF 0.025 WITH DEGREE OF FREEDOM=28

B. LOWER TAIL AREA OF 0.01WITH DEGREE OF FREEDOM=15

C. WHERE 90% OF THE AREA FALLS BETWEEN THESE TWO t-VALUES WITH df=9

Answer 1

Solution:

Using t-distribution table from

https://www.statisticshowto.com/tables/t-distribution-table/

A. UPPER TAIL AREA OF 0.025 WITH DEGREE OF FREEDOM=28

t = 2.048 (because UPPER TAIL AREA)

B. LOWER TAIL AREA OF 0.01 WITH DEGREE OF FREEDOM=15

t = -2.602 (because LOWER TAIL AREA)

C. WHERE 90% OF THE AREA FALLS BETWEEN THESE TWO t-VALUES WITH df=9

t = -1.833 and t = 1.833