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a. There is currently being used as a method that has a known average cost of $220 and the director wants to know if the new manufacturing method will reduce the cost of the manufacturing prosses. Symbolize it is μ<220 and it will be your alternative hypothesis. Remember in the null hypothesis is commonly the "no change" hypothesis which means it always carries the = sign. So for this test, the most appropriate hypothesis are:
H₀: μ ≥ 220
H₁: μ < 220
b. If you do not reject the null hypothesis, then the conclusion would be that on average, the new manufacturing prosses has an equal or greater cost than the old one.
c. If you reject the null hypothesis, the conclusion would be that the true mean of the cost of the new manufacturing prosses is less than $220.
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A. Alternative hypothesis if the mean < 220.
B. If you do not reject the null hypothesis then the new manufacturing process has an equal or greater cost than the old one.
C. If you reject the null hypothesis, then the true mean of the cost of the new manufacturing process is less than $220.
What are null hypotheses and alternative hypotheses?
In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented.
The current production method operates with a mean cost of $220 per hour.
A research study will measure the cost of the new method over a sample production period.
A. There is currently being used as a method that has a know average cost of $220 and the director wants to know if the new manufacturing method will reduce the cost of the manufacturing process. It will be an alternative hypothesis if the mean < 220. Remember the null hypothesis is commonly the no-change hypothesis.
H₀: μ ≥ 220
H₁: μ < 220
B. If you do not reject the null hypothesis, then the conclusion would be that on average, the new manufacturing process has an equal or greater cost than the old one.
C. If you reject the null hypothesis, the conclusion would be that the true mean of the cost of the new manufacturing process is less than $220.
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
