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?

Step 1 of 3

Given that,

The test results for Dye A and Dye B are as follows:

Dye A: 1.0 2.0 1.2 3.0

Dye B: 3.0 3.2 2.6 3.4

The sample size of dye A=4

The sample size of dye B=4