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 random selection. Measurement values respectively; 8, 11,9,11,9,7,11,10,10,9. After a while ; A press machine with a newer technology has been replaced by a press machine where product losses are frequently experienced in the packaging line. and products with the same features were weighed after being processed in this new pressing machine. After the new pressing machine, the weights of the products were measured as follows; 8,8,13,17,8,12,16,14,13,15. a) Test whether the average weight of the products currently exceeds 10 grams or not, at a = 0.05 significance level, by writing the relevant hypotheses and applying all necessary steps to make a decision. Write down the decision you made as a result of the hypothesis test and interpret your 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 random selection. Measurement values respectively; 8, 11,9,11,9,7,11,10,10,9. After a while ; A press machine with a newer technology has been replaced by a press machine where product losses are frequently experienced in the packaging line. and products with the same features were weighed after being processed in this new pressing machine. After the new pressing machine, the weights of the products were measured as follows; 8,8,13,17,8,12,16,14,13,15.
a) Test whether the average weight of the products currently exceeds 10 grams or not, at a = 0.05 significance level, by writing the relevant hypotheses and applying all necessary steps to make a decision. Write down the decision you made as a result of the hypothesis test and interpret your decision.
b)The quality engineer of this company claims that after the use of the new machine, the average weight of the products coming out of the packaging line increases compared to the situation in which the old machine was used. Test this claim of the quality engineer at a = 0.05 significance level by writing the relevant hypotheses and applying all the necessary steps to make a decision.
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