Bocote is a type of wood desired for its aromatic properties, its beauty, and it
ID: 3227342 • Letter: B
Question
Bocote is a type of wood desired for its aromatic properties, its beauty, and its strength. A particular manufacturer has found it can recreate the aromatic properties and most of its aesthetic qualities, but not its strength, with a synthetic material. For a particular project, you can justify using (the more expensive) Bocote wood if its strength is more than 5 units on average stronger than the synthetic material. If you test 15 Bocote boards and find their strength to average 17 units with a standard deviation of 4.8 units and you test 22 synthetic boards to find an average of 14.2 and standard deviation of 2.8, is there enough evidence to justify using Bocote?
Explanation / Answer
Below are the nulla and alternate hypothesis
p-value = 0.94
As p-value is greater than significance level of 0.05, we fail to reject null hypothesis. This means it is not justifyable to use Bocote.
Given Data Sample 1 Sample 2 Name Bocate Synthetic mean 17 14.2 Sample size 15 22 Std. dev. 4.80 2.80