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Iid iid Suppose Xi N(uy,= 0z),i = 1,2, n,and Yi N(Uz' 02),i = 1,2, n. Test Ho: oz 02 vs.H:o} + 02. The complete answer should include the test statistic,...

Question

Iid iid Suppose Xi N(uy,= 0z),i = 1,2, n,and Yi N(Uz' 02),i = 1,2, n. Test Ho: oz 02 vs.H:o} + 02. The complete answer should include the test statistic, the null distribution; and the rejection region at the significance level &.

iid iid Suppose Xi N(uy,= 0z),i = 1,2, n,and Yi N(Uz' 02),i = 1,2, n. Test Ho: oz 02 vs.H:o} + 02. The complete answer should include the test statistic, the null distribution; and the rejection region at the significance level &.



Answers

Find the critical value(s) and rejection region(s) for the type of z-test with level of significance $\alpha .$ Include a graph with your answer. Two-tailed test, $\alpha=0.02$

Problem number eight The degree of freedom, which is the number off the same. Besides morning this one eso the two teens. The critical value is found from table five and the object very supercritical. Various found in row off, Terrifying containing the freedom 37 Alfa all 370.1 to thine So is equal to positive or negative 1.687 So the rejection region then contains a lot t value asleep, then negative 1.687 and all the veil is greater than 1.687

Problem. Six that agreed of freedom, which is the sample size minus one. So 31 minus one. She's 30 for the right deal. Test the critical value found in table. Fine. So the critical value is found in in the row of table five containing degrees of freedom equal to 30 and alpha equal toe open toe. One one team S O. T. Is equal to 2.45 seven. So the rejection reason contain all the values greater than 2.457

Problem. Number 10. The degree of freedom is equal toe end minus one. So sample size minus one. Just 60. So the protein this the critical value on the to take tests? Degree of freedom Equal 80 and column with his narrow value and the colonies one. Man. It's all for over two who are our for over two. So using Table six Appendix B. The critical values are 55.534 and 91.952 So the rejection reason then contains all X values smaller than 35 8.534 and greater than 91.952


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