A restaurant manager is considering changing the secret sauce on their hamburger

Question

A restaurant manager is considering changing the secret sauce on their hamburgers. To decide which recipe to use. she recruits 15 customers and assigns 5 different customers to each of the 3 sauce groups (A. B. or C). She then serves them a plain hamburger with the sauce for their group and asks them to rate their satisfaction with the taste of the sauce on a scale from 1 (disgusting) to 5 (delicious) to see if there is a significant (a - .05) difference in taste Based on the data and results you calculated, calculate Turkey's HSD and determine which pairs of groups are significantly different? Group A and Group B are significantly different. Group A and Group C are significantly different. Group B and Group C are significantly different. Group C is significantly different from Group A and Group B All of the Groups arc significantly different. None of the Groups arc significantly different.

Explanation / Answer

Below table shows the one - way ANOVA analysis

As we see p-value is less than significance level, we reject the null hypothesis. This means there is significant difference in the means.

We calculate Tukey HSD

3.77 is the critical value

Hence A vs C are significantly different.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance A 5 9 1.8 0.7 B 5 12 2.4 1.3 C 5 20 4 1 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 12.93333 2 6.466667 6.466667 0.012428 3.885294 Within Groups 12 12 1 Total 24.93333 14

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