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9th Edition

Frederick J Gravetter + 2 others

Publisher: Cengage Learning

ISBN: 9781337098120

Chapter 11.4, Problem 2LC

Textbook Problem

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For a repeated-measures study with *n* – 12 scores in each treatment, a researcher constructs an 80% confidence interval to describe the mean difference between treatments. What value is at the center of the interval and what *t* values are used to construct the interval?

**a.** The sample mean difference is at the center and *t* = ± 1.363.

**b.** The sample mean difference is at the center and *t* = ± 1.316.

**c.** Zero is at the center and *t* = ± 1.363.

**d.** Zero is at the center and *t* = ± 1.316.

To determine

**To Find:** The value at the centre of the interval.

The *t* values used to construct the interval.

**Given info:**

Numbers of scores in each treatment are

80% confidence interval is given.

**Reason for correct answer:**

**Calculation:**

Let *n* be the numbers of participants in the treatment. Then,

80% confidence interval is given which means two tailed level of significance is 20%.

Let
*t*, and

Then, 80% confidence limits are given by the formulae:

Therefore, sample mean difference is at the centre of the confidence interval

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

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Ch. 11.1 - In a repeated-measures study, the same group of...Ch. 11.1 - A researcher conducts a research study comparing...Ch. 11.1 - For an experiment comparing two treatment...Ch. 11.2 - What is the mean for the difference scores for the...Ch. 11.2 - Which of the following is the correct statement of...Ch. 11.2 - Which of the following accurately describes the...Ch. 11.2 - What is the value for the estimated standard error...Ch. 11.3 - A researcher conducts a repeated-measures study...Ch. 11.3 - A researcher is using a one-tailed hypothesis test...Ch. 11.4 - The results of a repeated-measures study with n =...

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