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In each of exercise 10.13-10.18, we have presented a confidence interval for the difference,μ1-μ2, between two population means. interpret each confidence intervaL

90% CI from5to10

Short Answer

Expert verified

One can be90%confident that μ1-μ2lies somewhere between 10and5

Equivalently one can be 90%confident that μ1is somewhere greater thanμ2.

Step by step solution

01

Given Information

Given in the question that,

90%CI from5to10 we have to calculate the interpretation of confidence level.

02

Explanation

The mean found in a sample is thought to represent the best estimate of the population's true value. The sample mean of 90percent Cl is interpreted as a range of values containing the genuine population mean with probability 0.90or90%.

Finding a confidence interval for the difference between two means can be used to compare two population means.

Assume that μ1is the mean of a variable in population 1and μ2is the mean of a variable in population 2. The sampling distribution of the difference between two means is then μ1-μ2.

Given a90percent confidence interval, Cl ranges from5to10

The confidence interval's endpoints are both positive values in this case.

This means that μ1-μ2is 90% certain to exist someplace.

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