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A crayon manufacturer is comparing the effects of two
Chapter 6, Problem 1E(choose chapter or problem)
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:
\(\begin{array}{ccccc} \text { Dye A: } & 1.0 & 2.0 & 1.2 & 3.0 \\ \text { Dye B: } & 3.0 & 3.2 & 2.6 & 3.4 \end{array}\)
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?
Questions & Answers
QUESTION:
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:
\(\begin{array}{ccccc} \text { Dye A: } & 1.0 & 2.0 & 1.2 & 3.0 \\ \text { Dye B: } & 3.0 & 3.2 & 2.6 & 3.4 \end{array}\)
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?
ANSWER:Step 1 of 3
Given that,
The test results for Dye A and Dye B are as follows:
\(\begin{array}{ccccc} \text { Dye A: } & 1.0 & 2.0 & 1.2 & 3.0 \\ \text { Dye B: } & 3.0 & 3.2 & 2.6 & 3.4 \end{array}\)
The sample size of dye A = 4
The sample size of dye B = 4