ANOVA Application You want to determine if there is a difference in quality betw

Question

ANOVA Application

You want to determine if there is a difference in quality between manufacturers of drill bits. So you buy 10 bits from each of 4 manufacturers. You drill a hole in steel using each of the bits you have bought in randomized order. Then, the size of the hole drilled by each bit is measured. A chart with the data is below:

1. Is there a difference between manufacturers?

A) There is a difference between manufacturers.

B) There is no difference between manufacturers.

2. What is the P-value associated with your decision?

A) 0.027

B) 0.055

C) 0.067

D) 0.079

E) 0.164

F) 0.194

G) 0.194

H) 0.219

I) 0.243

J) 0.256

K) 0.269

Thank you for any help with this problem!

Samples A Samples B Samples C Samples D 8.589 8.624 8.61 8.591 8.597 8.643 8.587 8.588 8.582 8.576 8.603 8.609 8.619 8.631 8.598 8.587 8.613 8.614 8.576 8.575 8.577 8.606 8.576 8.575 8.62 8.585 8.6 8.588 8.596 8.625 8.599 8.6 8.597 8.609 8.598 8.609 8.601 8.593 8.573 8.611 8.601 8.585 8.633 8.596

Explanation / Answer

1) B) There is no difference between manufacturers.

is correct

as p-value is more than alpha 0.05

2)p-value = 0.194256

nearest option

F) 0.194

G) 0.194 is correct (both are same

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Column 1 11 94.592 8.599273 0.000193 Column 2 11 94.691 8.608273 0.000465 Column 3 11 94.553 8.595727 0.000306 Column 4 11 94.529 8.593545 0.000163 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 0.00139 3 0.000463 1.645039 0.194256 2.838745 Within Groups 0.011265 40 0.000282 Total 0.012655 43

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