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Independent Random Samples from Normal Populations Produced the Results Shown 5.8,5.1,3.9,4.5,5.45.8,5.1,3.9,4.5,5.4

Question 34

Essay

Independent random samples from normal populations produced the results shown
below. Sample 1: 5.8,5.1,3.9,4.5,5.45.8,5.1,3.9,4.5,5.4
Sample 2: 4.4, 6.1, 5.2, 5.75.7

a. Calculate the pooled estimator of σ2\sigma ^ { 2 } .
b. Test μ1<μ2\mu _ { 1 } < \mu _ { 2 } using α=.10\alpha = .10 .
c. Find a 90%90 \% confidence interval for (μ1μ2)\left( \mu _ { 1 } - \mu _ { 2 } \right) .

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