The breaking strength of nylon ropes made of two different materials (in hundreds of pounds) are shown below. Material 1: 487.3 444.5 467.7 456.3 449.7 459.2 478.9 461.5 477.2 488.5 501.2 475.3 467.2 462.5 Material 2: 499.7 470.0 469.5 481.5 485.2 509.3 479.3 498.3 Can you conclude that the standard deviation of the breaking strength differs between the two materials? Use the a 0.05 level of significance. Show your work including how you get the test statistic and a graph showing the location of the test statistic and the critical value.

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A: Ans :

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.