The fact that the chi-square distribution

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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  .

Reference no: EM131137720

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