In process industry during a daily production run, a total of five (05) samples are collected with four (04) observations within each sample. The sample means (X-bar) are; 14.5, 13.94, 16.86, 18.77, and 16.64 respectively. The corresponding ranges are; 9.90, 7.73, 4.51, 7.56, and 3.49 respectively. The lower and upper control limits of the x-bar chart are respectively O a. 18.55, 13.47 O b. 11.47, 16.55 Oc. 11.21, 20.91 O d. None is correct O e. 12.21, 19.91

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A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.