# Solution Library

# Perform T-Test And One Way Using Anova

**Question**

In this question, you will be using the following menus in SPSS:

- Analyze…Compare Means…Paired-Samples T-test…
- Analyze…Compare Means…Independent-Samples T-test…
- Analyze…Compare Means…One-Way ANOVA…

**Part 1: **Use the ** bodyfat.sav **file to perform the following analyses.

1. Using the *compare means *menu, perform a *paired samples t-test *to determine whether the 2 methods for determining percent fat were significantly different (variables: ** fatpct1 **&

**).**

*fatpct2*2. Create a new variable called ** agecat2 **that designates those who are 40 and younger as 1 and those who are over 40 as 2. Perform an

*independent-samples t-test*to determine whether these groups are different in their percent fat (method 1).

3. Create a new variable called ** agecat3 **that designates those who are 39 and younger as 1, those who are 40 up to 50 as 2, and those who are 50 over as 3. Perform a

*one-way ANOVA*to determine whether these groups are different in their percent fat (method 1). Click on

*Post Hoc*and check

*Tukey*.

Answer the following questions.

1. Based on the t-test in #1, what was the mean difference between body fat measurements?

a. 19.2

b. 18.9

c. 0.637

d. 0.221

2. From the t-test in #1, was the mean difference big enough to be statistically significant?

a. Yes

b. No

3. From the t-test in #2, what was the mean difference between age groups?

a. 16.1

b. 20.9

c. 4.59

d. 4.84

4. From the t-test in #2, was the mean difference between age groups big enough to be statistically significant?

a. Yes

b. No

5. Based on the ANOVA in #3, what was the mean difference between groups 1 and 2?

a. 3.91

b. 5.13

c. 1.21

d. 8.475

6. Based on the ANOVA in #3, what was the mean difference between groups 1 and 3?

a. 3.91

b. 5.13

c. 1.21

d. 8.475

7. From the ANOVA in #3, what was the mean difference between groups 2 and 3?

a. 3.91

b. 5.13

c. 1.21

d. 8.475

8. Based on the ANOVA in #3, which mean differences were statistically significant?

a. Groups 1 & 2, groups 1 & 3 but not groups 2 & 3 were significantly different.

b. All were significantly different.

c. Only groups 1 and 2 were different.

d. Only groups 2 and 3 were significant.

**Summary**

The question belongs to Statistics and it discusses about performing t-test and one way in ANOVA with the given data in the .sav file.

**Total Word Count NA**

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