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Another non-scientist uses the same dataset from the previous problem, but tries two different post-hoc techniques after the ANOVA. They receive the following output: B

Another non-scientist uses the same dataset from the previous problem, but tries two different post-hoc techniques after the ANOVA. They receive the following output:

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B C D Brand diff( number of deaths) lwr upr p-value (Bonferonni) Plysol-Mindex 33 -5 20 0.6425 Plysol-Pinesmell 800 500 900 0.1769 Plysol-Toilet Bubbles 50 -1 55 0.8647 Plysol-Bleach 60 -28 46 0.4279 Plysol-Wave 20 -66 171 0.3583 Mindex-Pinesmell 65 -5 56 0.3289 Mindex-Toilet Bubbles -80 -36 99 0.294 Mindex-Bleach 40 20 191 0.0012 Mindex-Wave -30 -17 93 0.0705 Pinesmell-Toilet Bubbles 24 -35 173 0.0963 Pinesmell-Bleach 23 -26 76 0.0456 Pinesmell-Wave -1 100 16 0.3425 Toilet Bubbles-Bleach 0 -1 0.2005 Toilet Bubbles-Wave -40 -29 199 0.594 Bleach-Wave 200 -78 2 0.5254 3 Brand diff(number of deaths) lwr upr p-value (Tukey HSD) Plysol-Mindex 33 -5 20 0.6425 Plysol-Pinesmell 800 .500 900 0.1769 Plysol-Toilet Bubbles 50 -1 55 0.8647 Plysol-Bleach 60 -28 46 0.4279 3 Plysol-Wave 20 -66 171 0.3583 Mindex-Pinesmell 65 -5 56 0.3289 Mindex-Toilet Bubbles -80 -36 99 0.5903 Mindex-Bleach 40 20 191 0.0013 Mindex-Wave -30 -33 -17 0.0042 Pinesmell-Toilet Bubbles 24 -35 173 0.8367 Pinesmell-Bleach 23 -26 76 0.9224 Pinesmell-Wave -1 -100 16 0.9797 Toilet Bubbles-Bleach 0 -1 0.7286 2 Toilet Bubbles-Wave -40 -29 199 0.4976 Bleach-Wave 200 -78 2 0.7801 Assume that these results are valid, and not the result of a Type I Error. You are a real scientist asked to give advice to a political committee about the statistics of this result. Ignoring the dark comedy of this problem, what sort of advice would you give to the committee? Submit: (a) Statement of why the results from the two analyses might be different. (b) An actionable plan that a politician could understand going forward. What can be done, what needs to still be done, and what is your recommendation, based on the numbers

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