10.21 An automobile industry uses a particular brand of automobile batteries that have their lifetimes approximately normally distributed, with a mean of 3.5 years and standard deviation of 0.5 years. Test the hypothesis that u = 3.5 years against the alternative, u 7 3.5 years, if a random sample of 32 batteries has an average life of 3.4 years. Use a P-value in your answer.

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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.