Definition. Statistics

Ex. 1a: Independent and Dependent Samples

Classify each pair of samples as

Ex. 1: Independent and Dependent Samples

Sample 1: Resting heart rates of

Ex. 1b: Independent and Dependent Samples

Classify each pair of samples as

Ex. 1b: Independent and Dependent Samples

Sample 1: Test scores for 35

Note:

Dependent samples often involve identical twins, before and after results for

The t-Test for the Difference Between Means

To perform a two-sample hypothesis

To conduct the test, the following conditions are required:

The samples must

To conduct the test, the following conditions are required:

has a

The following symbols are used for the t-test for μd.

Although formulas

Because the sampling distribution for is a t-distribution, you can use

Ex. 2: The t-Test for the Difference Between Means

A golf club

The claim is that “golfers can lower their scores.” In other

Because the test is a right-tailed test, α = 0.10, and

Using the t-test, the standardized test statistic is:

The graph below shows

Ex. 3: The t-Test for the Difference Between Means

A state legislator

If there is a change in the legislator’s rating, there will

Because the test is a tw0-tailed test, α = 0.01, and

Using the t-test, the standardized test statistic is:

The graph shows the

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