Chapter 10, Problem 22P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Recent research has demonstrated that music-based physical training for elderly people can improve balance, walking efficiency, and reduce the risk of falls (Trombetti et al,. 2011). As part of the training, participants walked in time to music and responded to changes in the music’s rhythm during a one-hour per week exercise program. After six months, participants m the training group increased their walking speed and their stride length compared to individuals in the control group. The following data are similar to the results obtained in the study.

Do the results indicate a significant difference in the stride length for the two groups? Use a two-tailed test with α =.05

To determine

**To Find:** If the results indicate significant difference in stride-length for the two groups using two-tailed test with

Explanation

**Given info:**

Two samples each of size 16 is given in the question. Two-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 two-tailed test with
*t*-table as

Step 3: *t*-statistics is calculated using formula:

**Software procedure:**

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

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

Output using the SPSS software is given below:

From the SPSS output, the value of two sample means and standard deviations are

Next, calculate pooled variance,

Substitute 2.63 for

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