A manufacturer of chocolate topping uses machines to dispense liquid ingredients into bottles that move along a filling line. machine that dispenses toppings is working properly when 8 grams are dispensed. The standard deviation of the process is 0 gram. Suppose that the average amount dispensed in a particular sample of 25 bottles is 7.982 grams. At the 0.05 level of significar using the critical value approach to hypothesis testing, is there evidence that the average amount dispensed is less than 8 gr.

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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.