A crayon manufacturer is comparing the effects of two kinds of yellow dye on the brittleness of crayons. Dye B is more expensive than dye A, but it is thought that it might produce a stronger crayon. Four crayons are tested with each kind of dye, and the impact strength (in joules) is measured for each. The results are as follows:
Dye A: 1.0 2.0 1.2 3.0
Dye B: 3.0 3.2 2.6 3.4
- a. Can you conclude that the mean strength of crayons made with dye B is greater than that of crayons made with dye A?
- b. Can you conclude that the mean strength of crayons made with dye B exceeds that of crayons made with dye A by more than 1 J?
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