SRIS - Chapter 8 Review

Select one advantage to using paired data.

• Increases variability within an experiment

• Reduces Type II errors

• Reduces Type I errors

• Reduces the amount of work required

SELECT ALL THAT APPLY. What are some ways to decrease the probability of a Type II Error?

• Increase sample size

• Increase the significance level

• Decrease the significance level

• Account for other sources of variability

• Ensure that participants in a study know the purpose of the experiment

Paired Data is used with:

• Categorical Variables

• Quantitative Variables

Is the following description an example of how to find the difference in means or the mean difference?

1.) Take all the points that a team scored in each game at home and find the mean.
2.) Take all the points that a team scored in each game on the road and find the mean.
3.) Subtract the  $\overline{x}_H-\overline{x}_A.$  

• Mean Difference

• Difference in Means

Is the following description an example of how to find the difference in means or the mean difference?

1.) Take average points a team scores at home.
2.) Take average points a team scores on the road.
3.) Find the difference between the values.
4.) Repeat this process for all teams in the league.
5.) Find the mean in the differences between home and away. 

• Mean Difference

• Difference in Means

The 2nd S in the SSC process stands for:

• State

• Simulate

• Conclude

• Synthesize

• Sample

What is the root reason of why we do simulations for an investigation?

• Busy work!

• To eliminate RANDOM CHANCE as an explanation for the initial evidence for the alternative hypothesis.

• To show that a PERFORMANCE will always vary from true ABILITY

• To find the p-value.

SELECT ALL THAT APPLY!

A p-value from a simulation is 0.02. This suggests that...

• a Type I Error could have occurred.

• there is convincing evidence for the null hypothesis.

• there is convincing evidence for the alternative hypothesis.

• A Type II error could have occurred.

In the swimming experiment, why were we not able to fully conclude that the reason the swimmers were faster in the polyurethane suit was because of the suit even though times were faster in the polyurethane?

• Because the experiment used in the Chapter didn't use paired data.

• Participants had significantly faster times in the traditional suit.

• Participants in the experiment were not blind to the treatment and may have swam faster in the polyurethane suit because they believed they would.

• Because some participants wore caps and some didn't.

True or False?

It is important that when you find the difference between paired data that you NEVER get a negative number.

• True

• False