Question: Given a random sample of size n from a normal
Given a random sample of size n from a normal population with the known variance σ2, show that the null hypothesis µ = µ0 can be tested against the alternative hypothesis µ ≠ µ0 with the use of a one- tailed criterion based on the chi- square distribution.
Answer to relevant QuestionsWith reference to Exercise 13.9, use Table II on page 492 to find values corresponding to k0.025 and k'0.025 to test the null hypothesis λ = 3.6 against the alternative hypothesis λ ≠ 3.6 on the basis of five ...Show that the rule on page 372 for calculating the expected cell frequencies applies also when we test the null hypothesis that we are sampling r populations with identical multinomial distributions. With reference to Example 13.2, verify that the P-value corresponding to the observed value of the test statistic is 0.0808. Example 13.2 Suppose that 100 high-performance tires made by a certain manufacturer lasted on the ...With reference to Exercise 13.30, use suitable statistical software to find the P-value that corresponds to the observed value of the test statistic. Use this P-value to rework the exercise. In exercise Five measurements of ...To find out whether the inhabitants of two South Pacific islands may be regarded as having the same racial ancestry, an anthropologist determines the cephalic indices of six adult males from each island, getting 1 = 77.4 ...
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