{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

s_m8_handouts

# s_m8_handouts - Rev F07 STA 2023 Module 8 The Sampling...

This preview shows pages 1–4. Sign up to view the full content.

Rev. F07 http://faculty.valenciacc.edu/ashaw/ 1 Rev.F08 1 STA 2023 Module 8 The Sampling Distribution of the Sample Mean Rev.F08 2 Module Objectives 1. Define sampling error and explain the need for sampling distributions . 2. Find the mean and standard deviation of the variable, given the mean and standard deviation of the population and the sample size. 3. State and apply the central limit theorem . 4. Determine the sampling distribution of the sample mean when the variable under consideration is normally distributed . 5. Determine the sampling distribution of the sample mean when the sample size is relatively large. http://faculty. valenciacc . edu/ashaw/ Click link to download other modules. Rev.F08 3 Why Sampling? http://faculty. valenciacc . edu/ashaw/ Click link to download other modules. We have seen that using a sample to acquire information about a population is often preferable to conducting a census . Generally, sampling is less costly and can be done more quickly than a census ; it is often the practical way to gather information.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Rev. F07 http://faculty.valenciacc.edu/ashaw/ 2 Rev.F08 4 What is Sampling Error? http://faculty. valenciacc . edu/ashaw/ Click link to download other modules. However, because a sample provides data for only a portion of an entire population , we cannot expect the sample to yield perfectly accurate information about the population. Thus, we should anticipate that a certain amount of error - called sampling error - will result simply because we are sampling. Rev.F08 5 What is a Sampling Distribution? http://faculty. valenciacc . edu/ashaw/ Click link to download other modules. The distribution of all possible observations of the statistic for samples of a given size is called the sampling distribution of the statistic. For example, the sampling distribution of the sample mean is the distribution of all possible sample means for samples of a given size. In this module, we will concentrate on the sampling distribution of the sample mean . Rev.F08 6 Sampling Distribution of the Sample Mean http://faculty. valenciacc . edu/ashaw/ Click link to download other modules. What does it mean? The sampling distribution of the sample mean is the distribution of all possible sample means for samples of a given size.
Rev. F07 http://faculty.valenciacc.edu/ashaw/ 3 Rev.F08 7 Example: Sample Means for Samples of Size 2 http://faculty. valenciacc . edu/ashaw/ Click link to download other modules. Rev.F08 8 Dotplot for the Sampling Distribution http://faculty. valenciacc . edu/ashaw/ Click link to download other modules. This is a dotplot for the sampling distribution of the sample mean for samples of size 2 in the previous example. The dotplot shows that 3 out of 10 samples have means within 1 inch of the population mean of 80 inches. Rev.F08 9 Dotplot for the Sampling Distribution of the Sample Mean http://faculty. valenciacc . edu/ashaw/ Click link to download other modules.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern