A company's quality engineer wants to check whether the average weight of the products coming out of the packaging line does not exceed 10 grams. For this, he measured the weights of the products coming out of the line by making a random selection. The measurement values are presented in the "Product weight of the current state (g)" column in the attached document. After a while, a pressing machine with a newer technology was replaced with a press machine where product losses were frequently experienced in the packaging line. And the products with the same features were weighed after being processed in this new pressing machine. The product weights obtained after the use of the new pressing machine are presented in the column "Product weight after using a new machine (g)". In line with these given, answer the following question using the observation numbers. 1) Using the data set in the column "Product weight of the current state (g)" test whether the average weight of the products exceeds 10 grams or not by writing the relevant hypotheses at α = 0.05 significance level (statistical significance). Apply all necessary process steps to make a decision.
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.
A company's quality engineer wants to check whether the average weight of the products coming out of the packaging line does not exceed 10 grams. For this, he measured the weights of the products coming out of the line by making a random selection.
The measurement values are presented in the "Product weight of the current state (g)" column in the attached document. After a while, a pressing machine with a newer technology was replaced with a press machine where product losses were frequently experienced in the packaging line. And the products with the same features were weighed after being processed in this new pressing machine. The product weights obtained after the use of the new pressing machine are presented in the column "Product weight after using a new machine (g)". In line with these given, answer the following question using the observation numbers.
1) Using the data set in the column "Product weight of the current state (g)" test whether the average weight of the products exceeds 10 grams or not by writing the relevant hypotheses at α = 0.05 significance level (statistical significance). Apply all necessary process steps to make a decision.
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