Making use of the fact that the chi-square distribution can
Making use of the fact that the chi-square distribution can be approximated with a normal distribution when ν, the number of degrees of freedom, is large, show that for large samples from normal populations is an approximate critical region of size α for testing the null hypothesis σ2 = σ2 0 against the alternative σ2 > . Also construct corresponding critical regions for testing this null hypothesis against the alternatives σ2 and σ2 .
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making use of the fact that the chi-square distribution can be approximated with a normal distribution when nu the
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