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A repeated-measures study finds a mean difference of M D = 5 points between two treatment conditions. Which of the following sample characteristics is most likely to produce a significant t statistic for the hypothesis test? a. A large sample size (n) and a large variance b. A large sample size (n) and a small variance c. A small sample size (n) and a large variance d. A small sample size (n) and a small variance

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Essentials of Statistics for The B...

9th Edition
Frederick J Gravetter + 2 others
Publisher: Cengage Learning
ISBN: 9781337098120

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for The B...

9th Edition
Frederick J Gravetter + 2 others
Publisher: Cengage Learning
ISBN: 9781337098120
Chapter 11.4, Problem 4LC
Textbook Problem
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A repeated-measures study finds a mean difference of MD = 5 points between two treatment conditions. Which of the following sample characteristics is most likely to produce a significant t statistic for the hypothesis test?

a. A large sample size (n) and a large variance

b. A large sample size (n) and a small variance

c. A small sample size (n) and a large variance

d. A small sample size (n) and a small variance

To determine

The sample characteristics which are most likely to produce a significant t statistic for the hypothesis test.

Explanation of Solution

Given info:

Repeated measures study with a mean difference of MD=5 points.

Reason for correct answer:

The formulae of t statistic for repeated measures study is:

t=MDμDs2n

So, t statistic is directly proportional to square root of sample size and inversely proportional to the square root of sample variance

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Chapter 11 Solutions

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