Making use of the fact that the chi-square distribution can be approximated with a normal distribution when v, the number of degrees of freedom, is large, show that for large samples from normal populations
Is an approximate critical region of size a for testing the null hypothesis σ2 = σ20 against the alternative σ2 > σ20 . Also construct corresponding critical regions for testing this null hypothesis against the alternatives σ2 < σ20 and σ2 ≠ σ20 (see Exercise 8θ23 on page 249).
Answer to relevant QuestionsIn a random sample, 12 of 14 industrial accidents were due to unsafe working conditions. Use the 0.01 level of significance to test the null hypothesis θ = 0.40 against the alternative hypothesis θ ≠ 0.40. In a random sample of 600 cars making a right turn at a certain intersection, 157 pulled into the wrong lane. Use the 0.05 level of significance to test the null hypothesis that the actual proportion of drivers who make this ...In a random sample of 200 persons who skipped breakfast, 82 reported that they experienced midmorning fatigue, and in a random sample of 300 persons who ate breakfast, 87 reported that they experienced midmorning fatigue. ...Show that the two formulas for x2 on pages 368 and 369 are equivalent. With reference to Example 14.1, show that the regression equation of X on Y is Also sketch the regression curve. In Example 14.1
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