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Let X and Y denote the respective lengths of male and female green lynx spiders. Assume
Chapter 8, Problem 8.2-12(choose chapter or problem)
Let X and Y denote the respective lengths of male and female green lynx spiders. Assume that the distributions of X and Y are N(X , 2 X ) and N(Y , 2 Y ), respectively, and that 2 Y > 2 X . Thus, use the modification of Z to test the hypothesis H0: X Y = 0 against the alternative hypothesis H1: X Y < 0. (a) Define the test statistic and a critical region that has a significance level of = 0.025. (b) Using the data given in Exercise 7.2-5, calculate the value of the test statistic and state your conclusion. (c) Draw two box-and-whisker diagrams on the same figure. Does your figure confirm the conclusion of this exercise?
Questions & Answers
QUESTION:
Let X and Y denote the respective lengths of male and female green lynx spiders. Assume that the distributions of X and Y are N(X , 2 X ) and N(Y , 2 Y ), respectively, and that 2 Y > 2 X . Thus, use the modification of Z to test the hypothesis H0: X Y = 0 against the alternative hypothesis H1: X Y < 0. (a) Define the test statistic and a critical region that has a significance level of = 0.025. (b) Using the data given in Exercise 7.2-5, calculate the value of the test statistic and state your conclusion. (c) Draw two box-and-whisker diagrams on the same figure. Does your figure confirm the conclusion of this exercise?
ANSWER:Step 1 of 3
Null hypothesis:
Alternative hypothesis:
Given data
For X
For Y