Question

Find the following chi-square distribution values from Table 11.1 (to 3 decimals). a. X2 os with öf- 5 b. X 2 025 with df- 15 c. χ 2 .975 with d-20 d, χ 2 .01 with df-10 e, χ 2 .95 with df-18

Answer 1

Answers

Concept Base

χ²_α with degrees of freedom n, denoted by χ²_{n, α} and known as α% point of Chi-square distribution with degrees of freedom, n is defined by: P(χ²_n > χ²_{n, α}) = α.

Now the answers   

a) χ²_0.05 with degrees of freedom 5 = 11.070 Answer 1

b) χ²_0.025 with degrees of freedom 15 = 27.488 Answer 2

c) χ²_0.975 with degrees of freedom 20 = 9.591 Answer 3

d) χ²_0.01 with degrees of freedom 10 = 23.209 Answer 4

e) χ²_0.95 with degrees of freedom 18 = 9.390 Answer 5

DONE

[Going beyond,

These percentage points can also be directly obtained using Excel Function: Statistical CHIINV.