Chapter 8: Statistical Inference: Estimation for Single Populations Confidence Intervals Notes

* There will be no questions on the exam regarding the “proportion” of a population

In optional Section 7.5 we concluded this chapter by comparing confidence intervals for μ with tolerance intervals. We emphasized that a tolerance interval is meant to contain a specified percentage of the individual population measurements, while the confidence interval is meant to contain only one number—the population mean.

Starting chapter 7 and the rest of the chapter you will be using statistical samples that fall into the following two categories:

Small size (n) sample where n 32 when .05, we should reject H0.

True False

= 36, s = 1.6, and n = 30 at =

In the [H0 : µ ≤ µ0 vs HA : µ > µ0 ] Hypothesis scenario. What value (or values) of alpha (α) would we reject H0 for µ greater than the 10 if X = 11, s = 2, and n = 36?

.05 and .01

01 and .001

.001

All of the above

Stylianos Drakatos PhD, PMP

Chapter 10: Statistical Inferences about Two Populations

True / False Questions

1. An independent samples experiment is an experiment in which there is no relationship between the measurements in the different samples.

True / False

2. In forming a confidence interval for, only two assumptions are required: independent samples and sample sizes of at least 30.

### The Research paper on Confidence intervals

Confidence Intervals have numerous applications for professional activities. Confidence Intervals have a wide use in defining the outcome of a particular question. The use of confidence levels are used commonly in Health, Business, Politics and Engineering venues. There are three examples that will be recognized as having real world applications regarding confidence intervals. An Empirical Test of ...

True / False

3. In testing the equality of population variances, two assumptions are required: independent samples and normally distributed populations.

True / False

4. When comparing two independent population means, if n1= 13 and n2= 10, degrees of freedom for the t statistic is 22.

True / False

5. There are two types of machines called type A and type B. Both type A and type B can be used to produce a certain product. The production manager wants to compare efficiency of the two machines. He assigns each of the fifteen workers to both types of machines to compare the hourly production rate of the 15 workers. In other words, each worker operates machine A and machine B for one hour each. These two samples are independent.

True / False

6. In testing the difference between two means from two independent populations, the sample sizes do not have to be equal.

True / False

Stylianos Drakatos PhD, PMP