Matched Pairs Test

Section 11.2

Sodoku Anyone?

*I need some people who have never played…

*Let’s see if boys are better than girls….

Are Boys Better than Girls?

Newbies…Do your scores increase if I explain how it’s scored?

Matched Pairs T-Test

Matching subjects according to a characteristic for blocking purposes.

Can be paired in before/after

Screens out extraneous factors.

Inferences can be based on the differences between the 2 observations in each sample pair.

Parameter of Interest

1 2d

Assumptions

Dependent (Paired) Random samples Approximately normal

Use boxplot to show this• (only 1 – of the list of differences)

Test Statistic

d

d

xts

n

An educator claims that a special vitamin will increase a weight lifter’s strength. Eight weight lifters are selected and given a test

and are tested again 2 weeks after the vitamin use.

Athelete 1 2 3 4 5 6 7 8

Before 210 230 182 205 262 253 219 216

After 219 236 179 204 270 250 222 216

Confidence Interval

dd

sx t

n

A dietitian wishes to see if a person’s cholesterol level will change if the diet is supplemented by a mineral. Can it be concluded that the cholesterol level has changed. Construct a 90% confidence interval.

Subject 1 2 3 4 5 6

Before 210 235 208 190 172 244

After 190 170 210 188 173 228

Homework

Worksheet