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Determine the values of the following quantities. (Round your answers to two decimal places.)

(a) [tex]\chi^2_{0.05,5}[/tex]
[tex]\square[/tex]

(b) [tex]\chi^2_{0.05,10}[/tex]
[tex]\square[/tex]

(c) [tex]\chi^2_{0.01,10}[/tex]
[tex]\square[/tex]

(d) [tex]\chi^2_{0.005,10}[/tex]
[tex]\square[/tex]

(e) [tex]\chi^2_{0.99,10}[/tex]
[tex]\square[/tex]

(f) [tex]\chi^2_{0.925,10}[/tex]
[tex]\square[/tex]


Sagot :

Certainly! Let's determine the values for the specified chi-square quantities, rounding each answer to two decimal places.

(a) The value for \(\chi^2_{0.05, 5}\) is:

[tex]\[ 1.15 \][/tex]

(b) The value for \(\chi^2_{0.05, 10}\) is:

[tex]\[ 3.94 \][/tex]

(c) The value for \(\chi^2_{0.01, 10}\) is:

[tex]\[ 2.56 \][/tex]

(d) The value for \(\chi^2_{0.005, 10}\) is:

[tex]\[ 2.16 \][/tex]

(e) The value for \(\chi^2_{0.99, 10}\) is:

[tex]\[ 23.21 \][/tex]

(f) The value for \(\chi^2_{0.925, 10}\) is:

[tex]\[ 16.97 \][/tex]

These are the chi-square values rounded to two decimal places for the given degrees of freedom and significance levels.