Question

In each of exercise 10.13-10.18, we have presented a confidence interval for the difference,${\mu }_1-{\mu }_2$, between two population means. interpret each confidence interval

$99\%$CI from$-10to5$

Short answer

One can be $99\%$confident that ${\mu }_1-{\mu }_2$lies somewhere between $-10$and $5$.Equivalently one can be $99\%$confident that${\mu }_1$is somewhere between $10$less than and $5$greater than ${\mu }_2$.

Step-by-step solution

Given Information

Given in the question that,

$99\%$CI from $-10to5$we have to calculate the interpretation of confidence level.

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 ${\mu }_1$is the mean of a variable in population $1$and ${\mu }_2$is the mean of a variable in population $2$. The sampling distribution of the difference between two means is then${\mu }_1-{\mu }_2$.

Given a$99$percent confidence interval,Cl ranges from $-10to5$.

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