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1

For which of the following scenarios should you use a matched pairs design and test?

A company is testing a migraine treatment. They want to compare subjects pain level before taking the medication and after.

A company wants to know if a scheduled exercise break may improve job satisfaction.

An advertising agency wants to know whether a potential ad campaign appeals more to men or women.

A political party wants to know whether a moderate candidate has more appeal in California or Florida.

A school district wants to know whether a new reading program is effective in improving reading levels for students who are two or more grade levels behind.

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Before you took this course, you may have heard stories about how difficult Statistics can be. Oftentimes, parents have had bad experiences with Stats courses and pass on their anxieties to their kids. To test whether actually taking AP Stats actually decreases students' anxieties about Stats, an instructor gave a test to rate student anxiety at the beginning of the course and at the end of the course. Anxiety levels were measured on a scale of 1-10. Here are the data for 16 randomly chosen students from a class of 180 students.
What type of hypothesis test will you complete?

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Before you took this course, you may have heard stories about how difficult Statistics can be. Oftentimes, parents have had bad experiences with Stats courses and pass on their anxieties to their kids. To test whether actually taking AP Stats actually decreases students' anxieties about Stats, an instructor gave a test to rate student anxiety at the beginning of the course and at the end of the course. Anxiety levels were measured on a scale of 1-10. Here are the data for 16 randomly chosen students from a class of 180 students.
What type of hypotheses will you test?

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Which histogram(s) should we check for the Nearly Normal condition?

Both Pre-course and Post-course

null

Post-Pre Differences

null

All three histograms

You don't need to check the histograms because both samples are large enough

You don't need to check the histograms because the number of pairs is large enough

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How do we check the Independence Assumption? (check all that apply)

The students (pairs) were chosen randomly.

The pre and post samples were chosen randomly.

Each student (pair) is independent from the others.

The pre and post samples are independent.

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Before you took this course, you may have heard stories about how difficult Statistics can be. Oftentimes, parents have had bad experiences with Stats courses and pass on their anxieties to their kids. To test whether actually taking AP Stats actually decreases students' anxieties about Stats, an instructor gave a test to rate student anxiety at the beginning of the course and at the end of the course. Anxiety levels were measured on a scale of 1-10. Here are the data for 16 randomly chosen students from a class of 180 students.
Does this provide evidence that anxiety levels about Statistics decrease after students take AP Statistics? (You'll need the df, t-statistic, and p-value for the next few answers, so I would write them down)
How many degrees of freedom does this test have?

15

26.643

This test does not have degrees of freedom.

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What is the value of the t-statistic? (round to three decimals)

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What is the p-value? (round to five decimals)

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Which two parts should make up your conclusion?

Based on the low p-value, I reject the null.

Based on the low p-value, I fail to reject the null.

Based on the high p-value, I reject the null.

Based on the high p-value, I fail to reject the null.

There is evidence that taking an AP Statistics course may reduce anxiety about Statistics.

There is not evidence that taking an AP Statistics course may reduce anxiety about Statistics.

1

Before you took this course, you may have heard stories about how difficult Statistics can be. Oftentimes, parents have had bad experiences with Stats courses and pass on their anxieties to their kids. To test whether actually taking AP Stats actually decreases students' anxieties about Stats, an instructor gave a test to rate student anxiety at the beginning of the course and at the end of the course. Anxiety levels were measured on a scale of 1-10. Here are the data for 16 randomly chosen students from a class of 180 students.
Create a 90% confidence interval to estimate the mean decrease in anxiety about Statistics. Use format (.888,.999) no spaces, with parentheses, three decimal places.

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Write your conclusion.

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To be sure your hypothesis test is consistent with your confidence level of 90%, what alpha level should you use?

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Perhaps it is true taking the AP Statistics course doesn't really decrease anxiety about statistics. Was an error made? If so, what kind? (check all that apply)

Ch25 Matched Pairs

Ch25 Matched Pairs

For which of the following scenarios should you use a matched pairs design and test?

Which histogram(s) should we check for the Nearly Normal condition?

How do we check the Independence Assumption? (check all that apply)

What is the value of the t-statistic? (round to three decimals)

What is the p-value? (round to five decimals)

Which two parts should make up your conclusion?

Write your conclusion.

To be sure your hypothesis test is consistent with your confidence level of 90%, what alpha level should you use?

Perhaps it is true taking the AP Statistics course doesn't really decrease anxiety about statistics. Was an error made? If so, what kind? (check all that apply)

For which of the following scenarios should you use a matched pairs design and test?

Which histogram(s) should we check for the Nearly Normal condition?

How do we check the Independence Assumption? (check all that apply)

What is the value of the t-statistic? (round to three decimals)

What is the p-value? (round to five decimals)

Which two parts should make up your conclusion?

Write your conclusion.

To be sure your hypothesis test is consistent with your confidence level of 90%, what alpha level should you use?

Perhaps it is true taking the AP Statistics course doesn't really decrease anxiety about statistics. Was an error made? If so, what kind? (check all that apply)