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Let X and Y equal the forces required to pull stud No. 3 and stud No. 4 out of a window
Chapter 8, Problem 8.2-6(choose chapter or problem)
Let X and Y equal the forces required to pull stud No. 3 and stud No. 4 out of a window that has been manufactured for an automobile. Assume that the distributions of X and Y are N(X , 2 X ) and N(Y , 2 Y ), respectively. (a) If m = n = 10 observations are selected randomly, define a test statistic and a critical region for testing H0: X Y = 0 against a two-sided alternative hypothesis. Let = 0.05. Assume that the variances are equal. (b) Given n = 10 observations of X, namely, 111 120 139 136 138 149 143 145 111 123 and m = 10 observations of Y, namely, 152 155 133 134 119 155 142 146 157 149 calculate the value of the test statistic and state your conclusion clearly. (c) What is the approximate p-value of this test? (d) Construct box plots on the same figure for these two sets of data. Do the box plots confirm your decision in part (b)?
Questions & Answers
QUESTION:
Let X and Y equal the forces required to pull stud No. 3 and stud No. 4 out of a window that has been manufactured for an automobile. Assume that the distributions of X and Y are N(X , 2 X ) and N(Y , 2 Y ), respectively. (a) If m = n = 10 observations are selected randomly, define a test statistic and a critical region for testing H0: X Y = 0 against a two-sided alternative hypothesis. Let = 0.05. Assume that the variances are equal. (b) Given n = 10 observations of X, namely, 111 120 139 136 138 149 143 145 111 123 and m = 10 observations of Y, namely, 152 155 133 134 119 155 142 146 157 149 calculate the value of the test statistic and state your conclusion clearly. (c) What is the approximate p-value of this test? (d) Construct box plots on the same figure for these two sets of data. Do the box plots confirm your decision in part (b)?
ANSWER:Step 1 of 6
Given data is
Number of samples in X and Y:
Null hypothesis:
Alternative Hypothesis:
