6. Five different laboratories participated in an inter-laboratory study involving determinations of the iron level in water samples. The results below are replicate determinations of Fe in ppm for laboratories A through E. Result No. 1 2 3 Lab A 10.3 11.4 9.8 Lab B 9.5 9.9 9.6 Lab C Lab D 10.1 8.6 10.0 9.3 10.4 9.2 Lab E 10.6 10.5 11.1 (a) State the appropriate hypotheses. (b) Do the laboratories differ at the 95% confidence level? At the 99% confidence level (Ferit 5 5.99)? At the 99.9% confidence level (Fcrit 5 11.28)? (c) Which laboratories are different from each other at the 95% confidence level?

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6. Five different laboratories participated in an inter-laboratory study involving
determinations of the iron level in water samples. The results below are replicate
determinations of Fe in ppm for laboratories A through E.
Result No.
1
23
3
Lab A
10.3
11.4
9.8
Lab B
9.5
9.9
9.6
Lab C Lab D Lab E
10.1
8.6
10.6
10.0
9.3
10.5
10.4
9.2
11.1
(a) State the appropriate hypotheses.
(b) Do the laboratories differ at the 95% confidence level? At the 99% confidence level
(Ferit 5 5.99)? At the 99.9% confidence level (Fcrit 5 11.28)?
(c) Which laboratories are different from each other at the 95% confidence level?
Transcribed Image Text:6. Five different laboratories participated in an inter-laboratory study involving determinations of the iron level in water samples. The results below are replicate determinations of Fe in ppm for laboratories A through E. Result No. 1 23 3 Lab A 10.3 11.4 9.8 Lab B 9.5 9.9 9.6 Lab C Lab D Lab E 10.1 8.6 10.6 10.0 9.3 10.5 10.4 9.2 11.1 (a) State the appropriate hypotheses. (b) Do the laboratories differ at the 95% confidence level? At the 99% confidence level (Ferit 5 5.99)? At the 99.9% confidence level (Fcrit 5 11.28)? (c) Which laboratories are different from each other at the 95% confidence level?
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