Chapter 10, Problem 23P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Downs and Abwender (2002*)* evaluated soccer players and swimmers to determine whether the routine blows to the head experienced by soccer players produced long-term neurological deficits. In the study, neurological tests were administered to mature soccer players and swimmers and the results indicated significant differences. In a similar study, a researcher obtained the following data.

a. Are the neurological test scores significantly lower for the soccer players than for the swimmers in the control group? Use a one-tailed test with

b. Compute the value of r^{2} (percentage of variance accounted for) for these data.

**a.**

To determine

**To find:** Whether the neurological test scores are significantly lower for the soccer player than for the swimmers using one-tailed test with

Explanation

**Given info:**

Two samples each of size 8 (for swimmers) and 5 (for soccer players). One-tailed hypothesis test using

**Calculations:**

Step 1: Null Hypothesis is

Step 2: For the given sample, the t-statistics will have degrees of freedom equals:

For a one-tailed test with

Step 3: t-statistics is calculated using formula:

The values of sample means, and variance are obtained below:

**Software procedure:**

Step-by-step procedure to obtain the sample mean and variance for the two groups, using the SPSS software:

- Go to
**Variable View>**Enter the name of the variable as**Swimmers and Soccer.** - Go to
**Data View**>Enter the values of**Swimmers and Soccer.** - Choose
**Analyze > Descriptive Statistics>**choose**Descriptive.** - Select
**Swimmers and Soccer**and move it under**variable(s)>**Choose**Options>**Select**Mean , Std. Deviation and Variance** - Choose
**Continue**> choose**OK.**

Output using the SPSS software is given below:

From the SPSS output, the value sample means, and variance are

Pooled variance:

**b.**

To determine

**To find:** The value of

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