   Chapter 11, Problem 3RE Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

a. A repeated-measures study with a sample of n = 9 participants produces a mean difference of M = 3 with a standard deviation of s = 6. Use a two-tailed hypothesis test with α = .05 to determine whether it is likely that this sample came from a population with μ D = 0.b. Now assume that the sample mean difference is MD = 12, and once again visualize the sample distribution. Use a two-tailed hypothesis test with α = .05 to determine whether it is likely that this sample came from a population with µD = 0.c. Explain how the size of the sample mean difference influences the likelihood of finding a significant mean difference.

a.

To determine
If the result significant enough to conclude that Ritalin improves attention span.

Explanation

Given info:

Sample of n=20 children were used in a study. The data show an average increase of attention span of MD=4.8 minutes and variance equal to s2=125 for the sample of difference scores.

Calculation:

Stating the testing hypotheses:

Null Hypothesis:

H0:μD0.

Alternate Hypothesis:

Ha:μD>0

Degrees of freedom is:

df=n1=201=19

With α=0.05 and df=19 critical value is : CV=1.729

The formula for standard error difference is

sMD=s2n=12520=6

b.

To determine
The 80% Confidence interval.

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