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Solve the Problem μ1=μ2\mu _ { 1 } = \mu _ { 2 }

question 55

Multiple Choice

Solve the problem.
-A hypothesis test is to be performed to test the equality of two population means. The sample sizes are large and the samples are independent. A 95% confidence interval for the difference between the population means is (1.4, 8.7) . If the hypothesis test is based on the same samples, which of the following do you know for sure:
A: The hypothesis μ1=μ2\mu _ { 1 } = \mu _ { 2 } would be rejected at the 5%5 \% level of significance.
B: The hypothesis μ1=μ2\mu _ { 1 } = \mu _ { 2 } would be rejected at the 10%10 \% level of significance.
C: The hypothesis μ1=μ2\mu _ { 1 } = \mu _ { 2 } would be rejected at the 1%1 \% level of significance.


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