s_m9 - STA 2023 Module 9 Confidence Intervals for One...

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STA 2023 Module 9 Confidence Intervals for One Population Mean
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Rev.F08 2 Learning Objectives Upon completing this module, you should be able to: 1. Obtain a point estimate for a population mean. 2. Find and interpret a confidence interval for a population mean when the population standard deviation is known. 3. Compute and interpret the margin of error for the estimate of the population mean. 4. Understand the relationship between sample size, standard deviation, confidence level, and margin of error for a confidence interval for the population mean. 5. Determine the sample size required for a specified confidence level and margin of error for the estimate of the population mean. http://faculty. valenciacc . edu/ashaw/ Click link to download other modules.
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Rev.F08 3 Learning Objectives 1. Understand the difference between the standardized and studentized versions of the sample mean. 2. State the basic properties of t -curves. 3. Know how to find the t -value for df = n-1 and selected values of alpha. 4. Find and interpret a confidence interval for a population mean when the population standard deviation is unknown. 5. Decide whether it is appropriate to use the z -interval procedure, t - interval procedure, or neither. http://faculty. valenciacc . edu/ashaw/ Click link to download other modules.
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Rev.F08 4 Common Problem in Statistics http://faculty. valenciacc . edu/ashaw/ Click link to download other modules. A common problem in statistics is to obtain information about the mean of a population. If the population is large, taking a census is generally impractical, extremely expensive, or impossible. For example: the mean cost of our vehicle insurance, the mean salary of a manager, or the mean debt of a household. Take a census? One way to obtain information about a population mean without taking a census is to estimate it by a sample mean .
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Rev.F08 5 Estimating a Population Mean http://faculty. valenciacc . edu/ashaw/ Click link to download other modules. In this module, we will begin the study of inferential statistics . We are going to examine methods for estimating the population mean by using the sample mean . Since the sample mean will be utilized to estimate the population mean , we cannot expect the population mean will equal to the sample mean exactly. Why? This is because the existing of sampling error .
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Rev.F08 6 What is a Point Estimate? http://faculty. valenciacc . edu/ashaw/ Click link to download other modules. Remember, a sample mean is a statistic , whereas a population mean is a parameter . When we try to make our best guess or estimate the population mean with a sample mean, a statistic is being used to estimate the parameter . In short, the value obtained from the sample data (the sample mean ) is the point estimate of the population mean .
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Rev.F08 7 Let’s Look at Some Examples of Confidence Intervals http://faculty. valenciacc . edu/ashaw/ Click link to download other modules.
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Rev.F08 8 What is a Confidence-Interval Estimate? http://faculty.
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s_m9 - STA 2023 Module 9 Confidence Intervals for One...

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