An article in the Journal of Radioanalytical and Nuclear Chemistry (2008, Vol. 276(2), pp. 323€“328) presented a 2^8€“4 fractional factorial design to identify sources of Pu contamination in the radioactivity material analysis of dried shellfish at the National Institute of Standards and Technology (NIST). The data are shown in the following table. No contamination occurred at runs 1, 4, and 9. The factors and levels are shown in the following table.

(a) Write down the alias relationships.

(b) Estimate the main effects.

(c) Prepare a normal probability plot for the effects and interpret the results.

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