Question

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 *H*_{0}.

*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).

η^{2} = ; ---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.

Answer #1

**a)** What is the appropriate test
statistic?

Ans: One-way ANOVA.

**b)** Compute the appropriate test statistic(s) to
make a decision about *H*_{0}.

Tests of Between-Subjects
Effects |
|||||

Dependent Variable: Intensity | |||||

Source | Type III Sum of Squares | df | Mean Square | F | Sig. |

Corrected Model |
8.296^{a} |
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).

η^{2} = 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.

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 an α of
0.05?...

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---Select--- na one-way ANOVA within-subjects ANOVA...

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Please solve this question step by step.
You can online software like SPSS, but show steps for each
part.
If you can't provide step by step answer. Don't bother
to answer at all. I should be able to replicate the
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I need answer to all parts.
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