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-10to5

Short Answer

Expert verified

One can be 99%confident that μ1-μ2lies somewhere between -10and 5.Equivalently one can be 99%confident thatμ1is somewhere between 10less than and 5greater than μ2.

Step by step solution

01

Given Information

Given in the question that,

99%CI from -10to5we 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%Cl is read as a range of values containing the genuine population mean with a probability of .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 thenμ1-μ2.

Given a99percent confidence interval,Cl ranges from -10to5.

One of the confidence interval's endpoints is positive, while the other is negative.

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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.

Independent: n1=20

n2=15

In each of Exercises 10.75-10.80, we have provided summary statistics for independent simple random samples from two populations. In each case, use the non pooled t-test and the non pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.

x1=20,s1=6,n1=20,x2=24,s2=2,n2=15

a. Left-tailed testα=0.05̣

b. 90%confidence interval.

Left-Tailed Hypothesis Tests and CIs. If the assumptions for a pooled t-interval are satisfied, the formula for a (1-α)-level upper confidence bound for the difference, μ1-μ2, between two population means is

x¯1-x~2+ta·Sp1/n1+1/n2

For a left-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 upper confidence bound for μ1-μ2is less than or equal to 0. In each case, illustrate the preceding relationship by obtaining the appropriate upper confidence bound and comparing the result to the conclusion of the hypothesis test in the specified exercise.

a. Exercise 10.45

b. Exercise 10.46

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=40

n2=45

Discuss the basic strategy for comparing the means of two populations based on independent simple random samples.

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