Questions 17-20: A crayon manufacturer is comparing the effects of two kinds of red 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. The impact strength (in joules) is measured for each crayon and population variances are assumed to be equal. The summary statistics are as follows: S n Dye A | 1.99 | 0.7992 | 10 Dye B 3.15 0.2777 | 8 17. Can you conclude that the mean strength of crayons made with dye B is greater than that of crayons made with dye A? Use a = 0.10.

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Questions 17-20: A crayon manufacturer is comparing the effects of two kinds of red 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.
The impact strength (in joules) is measured for each crayon and population variances are assumed to be
equal. The summary statistics are as follows:
S
n
Dye A 1.99 0.7992
Dye B | 3.15 0.2777
10
8
17. Can you conclude that the mean strength of crayons made with dye B is greater than that of crayons
made with dye A? Use a =
0.10.
18. What assumptions are required to perform the above test? (Hint: There are 3 assumptions.)
Transcribed Image Text:Questions 17-20: A crayon manufacturer is comparing the effects of two kinds of red 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. The impact strength (in joules) is measured for each crayon and population variances are assumed to be equal. The summary statistics are as follows: S n Dye A 1.99 0.7992 Dye B | 3.15 0.2777 10 8 17. Can you conclude that the mean strength of crayons made with dye B is greater than that of crayons made with dye A? Use a = 0.10. 18. What assumptions are required to perform the above test? (Hint: There are 3 assumptions.)
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