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10.4 Matched or Paired Samples

Dependent pairs, before-and-after or matched subjects, reduced to one column of differences and tested with a one-sample t on the mean difference.

Introductory Statistics 2e, 10.4 Matched or Paired Samples

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16 exercises

10.4 Exercise 5

What is the random variable?

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10.4 Exercise 7

What is the p-value?

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10.4 Exercise 9

What conclusion can you draw about the software patch?

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10.4 Exercise 11

What is the p-value?

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10.4 Exercise 15

State the null and alternative hypotheses.

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10.4 Exercise 17

What is the p-value?

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10.4 Exercise 19

What is the conclusion?

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10.4 Exercise 20

Ten individuals went on a low–fat diet for 12 weeks to lower their cholesterol. The data are recorded in the table. Do you think that their cholesterol levels were significantly lowered?

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10.4 Exercise 22

Let the subscript t = treated patient and ut = untreated patient.

If the p-value is 0.0062 what is the conclusion (use α = 0.05)?

  1. The method has no effect.
  2. There is sufficient evidence to conclude that the method reduces the proportion of patients who develop heart disease after four years.
  3. There is sufficient evidence to conclude that the method increases the proportion of patients who develop h…
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10.4 Exercise 24

Use the following information to answer the next two exercises. An experiment is conducted to show that blood pressure can be consciously reduced in people trained in a “biofeedback exercise program.” Six subjects were randomly selected and blood pressure measurements were recorded before and after the training. The difference between blood pressures was calculated (after - before) producing the f…

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10.4 Exercise 30

A new chocolate bar is taste-tested on consumers. Of interest is whether the proportion of children who like the new chocolate bar is greater than the proportion of adults who like it.

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10.4 Exercise 32

A football league reported that the mean number of touchdowns per game was five. A study is done to determine if the mean number of touchdowns has decreased.

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10.4 Exercise 34

According to a YWCA Rape Crisis Center newsletter, 75% of rape victims know their attackers. A study is done to verify this.

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10.4 Exercise 36

A recent drug survey showed an increase in use of drugs and alcohol among local high school students as compared to the national percent. Suppose that a survey of 100 local youths and 100 national youths is conducted to see if the proportion of drug and alcohol use is higher locally than nationally.

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10.4 Exercise 38

University of Michigan researchers reported in the Journal of the National Cancer Institute that quitting smoking is especially beneficial for those under age 49. In this American Cancer Society study, the risk (probability) of dying of lung cancer was about the same as for those who had never smoked.

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10.4 Exercise 40

A golf instructor is interested in determining if a new technique for improving players’ golf scores is effective. The instructor takes four (4) new students and records their 18-hole scores before learning the technique and then after having taken the class. The instructor conducts a hypothesis test. The data are as the table.

This is:

  1. a test of two independent means.
  2. a test of two proportions.
  3. a…
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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.