Question

# A market researcher wants to determine how long the flavor last for a three different types...

A market researcher wants to determine how long the flavor last for a three different types of chewing gums made by a client. The researcher randomly selects participants and asks them to chew a different piece of gum in each of three days. The order of the gums was randomly determined for each participant. After two hours of chewing, participants recorded the intensity of the gum flavor. Below are the data. What can be concluded with α = 0.01?

gum 1 gum 2 gum 3
4
3
6
6
3
4
4
6
4
6
6
3
2
7
7
6
9
6
5
4
6
7
7
5
4
5
5

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H0.
p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0

c) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
η2 =  ;  ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

At least one of the gums differ on flavor intensity.None of the gums differs on flavor intensity.

a) What is the appropriate test statistic?
Ans: One-way ANOVA.

b) Compute the appropriate test statistic(s) to make a decision about H0.

 Tests of Between-Subjects Effects Dependent Variable: Intensity Source Type III Sum of Squares df Mean Square F Sig. Corrected Model 8.296a 2 4.148 1.723 .200 Intercept 725.926 1 725.926 301.538 .000 Gum 8.296 2 4.148 1.723 .200 Error 57.778 24 2.407 Total 792.000 27 Corrected Total 66.074 26

p-value = 0.200 ; Decision: Fail to reject H0

c) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
η2 = 8.296/66.074=0.1256 ; small effect

d) Make an interpretation based on the results.

Ans: None of the gums differs on flavor intensity.

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