Rainforest is a shipping company that worries about damage to packages when shipped. The boss says "It don't matter what packing material you use! It's all the same! It's normally distributed with the same mean and the same standard deviation!" To prove the boss wrong employees put a sensor in the box to measure the vibrations, and shipped them using four different packing materials. They would like to use the bosses assumptions to run ANOVA and show whether the means differ significantly based on the packing material. Pinecones Foam Peanuts Newspaper Play Doh 10 packages 11 packages 18 packages 5 packages average: 73.9 average: 72.5 average: 63.3 average: 74.3 Std dev: 17.5 Std dev: 10.3 Std dev: 12 Std dev: 17.5 Overall average: 69.3 Pooled standard deviation: 13.6841 Matched pairs standard deviation: 1.15 Use 2 decimals in the table DF SS MS F Groups Error Total Ho: ---Select-- HA: ---Select-- a = Use 3 decimal places F V= Use 4 decimal places p-value= OFail to Reject the null OReject the null OCannot do O The alternative hypothesis was shown to be correct The boss is wrong - the averages are significantly different showing that the packing material does matter We can't say the boss the wrong - the averages based on the packing were not different enough The could not prove that Play Doh was better than the other packing materials The boss is correct - the packing material is shown to not make any difference The alternative hypothesis could not be shown to be correct The best packing material is shown to be Pinecones We can prove that the boss doesn't listen to his employees. This problem cannot be done