A company's quality engineer wants to check whether the average weight of the products exceeds 10 grams. For this, he measured the weight of the products by making a random selection. After a while, a new machine was purchased and the products with the same features were weighed after being processed in this machine. a) Using the column "old machine", test whether the average weight of the products currently exceeds 10 grams or not at the level of = 0.05 statistical significance 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(null and alternative hypothesis) and interpret your decision. b) The quality engineer of this company claims that after the use of new machinery, the average weight of the products increased compared to the situation in which the old machine was used. Test this claim of the quality engineer at the statistical significance level of = 0.05 by writing the relevant hypotheses and applying all the necessary steps to make a decision. Write down the decision you made as a result of the hypothesis test and interpret your decision.
A company's quality engineer wants to check whether the average weight of the products exceeds 10 grams. For this, he measured the weight of the products by making a random selection. After a while, a new machine was purchased and the products with the same features were weighed after being processed in this machine.
a) Using the column "old machine", test whether the average weight of the products currently exceeds 10 grams or not at the level of = 0.05 statistical significance 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(null and alternative hypothesis) and interpret your decision.
b) The quality engineer of this company claims that after the use of new machinery, the average weight of the products increased compared to the situation in which the old machine was used. Test this claim of the quality engineer at the statistical significance level of = 0.05 by writing the relevant hypotheses and applying all the necessary steps to make a decision. Write down the decision you made as a result of the hypothesis test and interpret your decision.
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