Tests concerning a population mean

Tests concerning a population mean - Tests concerning a...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Tests concerning a population mean. The mean of a random sample from a population provides a foundation for creating a test statistic to assesses hypothesis about a population mean . Case 1. The population is from the normal family with mean The standard deviation is known. has a standard normal distribution . is the test statistic. Case 2. The population is from an unknown family with mean The random sample is large (n > 40 rule of thumb). Generally justified by the Central Limit Theorem has approximately a standard normal distribution. is the test statistic. Case 3. The population is from the normal family with mean . The sample size can be small but at least 2. has a t distribution with df=n-1 degrees of freedom is the test statistic. Cases 1 and 2: The Distribution of the Test Statistic, Alternative Hypotheses and Rejection Regions for : Alternative Hypothesis Rejection Region Standard Normal Distribution Alpha is The probabilityof rejecting the null hypothesis when it is true ....
View Full Document

Page1 / 8

Tests concerning a population mean - Tests concerning a...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online