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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

99%CI from-20to15

Short Answer

Expert verified

One can be99%confident that μ1-μ2lies somewhere between -20to15

Equivalently one can be 99%confident that μ1is somewhere greater thanμ2.

Step by step solution

01

Given Information

Given in the question that,

99%CI from -20to15 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 99%percent Cl is interpreted as a range of values containing the genuine population mean with probability 0.99or99%.

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 a99percent confidence interval, Cl ranges from-20to15

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

This means that μ1-μ2is 99% certain to exist someplace.

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Most popular questions from this chapter

The intent is to employ the sample data to perform a hypothesis test to compare the means of the two populations from which the data were obtained. In each case, decide which of the procedures should be applied.

Paired: n=18.

Two-Tailed Hypothesis Tests and CIs. As we mentioned on page 413, the following relationship holds between hypothesis tests and confidence intervals: For a two-tailed hypothesis test at the significance level α, the null hypothesis H0:μ1=μ2will be rejected in favor of the alternative hypothesis Ha:μ1≠μ2if and only if the ( 1-α)-level confidence interval for μ1-μ2does not contain 0. In each case, illustrate the preceding relationship by comparing the reults of the hypothesis test and confidence interval in the specified xercises.

a. Exercises 10.48 and 10.54.

b. Exercises 10.49 and 10.55.

Discuss the relative advantages and disadvantages of using pooled and non pooled -procedures.

The intent is to employ the sample data to perform a hypothesis test to compare the means of the two populations from which the data were obtained. In each case, decide which of the procedures should be applied.

Independent: n1=25

n2=20

Two-Tailed Hypothesis Tests and CIs. As we mentioned on page 413, the following relationship holds between hypothesis tests and confidence intervals: For a two-tailed hypothesis test at the significance level α, the null hypothesis H0:μ1=μ2 will be rejected in favor of the alternative hypothesis H2:μ1≠μ2 if and only if the (1-α)-level confidence interval for μ1-μ2 does not contain 0. In each case, illustrate the preceding relationship by comparing the results of the hypothesis test and confidence interval in the specified exercises.

a. Exercises 10.81 and 10.87

b. Excrcises 10.86 and 10.92

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