Question

Consider the following. (Give your answers correct to two decimal places.)

(a) Calculate the value for the test statistic, χ², for H_o: σ² = 20.5, n = 16, s² = 16.5.
χ²* =

(b) Calculate the value for the test statistic, χ², for H_o: σ² = 30.1, n = 22, s = 6.2.
χ²* =

(c) Calculate the value for the test statistic, χ², for H_o: σ = 44, n = 22, s = 37.6.
χ²* =

(d) Calculate the value for the test statistic, χ², for H_o: σ = 14, n = 19, s² = 163.
χ²* =

Answer 1

We know that the formula for the chi square statistics is given as

(A) we have = 20.5, = 16.5 and n = 16

setting the given values in the chi-square statistics formula, we get

Therefore, required chi-square value is 12.07

(B) we have = 30.1, = 6.2 and n = 22

setting the given values in the chi-square statistics formula, we get

Therefore, required chi-square value is 4.33

(C) we have = 44, = 37.6 and n = 22

setting the given values in the chi-square statistics formula, we get

Therefore, required chi-square value is 17.95

(D) we have = 14, = 163 and n = 19

setting the given values in the chi-square statistics formula, we get

Therefore, required chi-square value is 209.57