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 per hour. A research study will measure the cost of the new method over a sample production period. a. Develop the null and alternative hypotheses most appropriate for this study. : - Select your answer - : - Select your answer - b. Comment on the conclusion when cannot be rejected. We - Select your answer - conclude that the new method reduces costs. c. Comment on the conclusion when can be rejected. Consider implementing the new method based on the conclusion that it - Select your answer - the mean cost per hour.

Hi, you've asked an incomplete question. The full question reads;

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. Develop the null and alternative hypotheses most appropriate for this study.

b. Comment on the conclusion when H0 cannot be rejected.

c. Comment on the conclusion when H0 can be rejected

Explanation:

Remember, the null hypothesis usually represents the view the researcher has and that he wants to test or verify, while the alternative hypothesis refers to the opposite expected outcome.

a) Therefore, the null hypothesis is that the newly proposed manufacturing method will reduce the mean cost to lesser than $220.

While the alternative hypothesis is that the newly proposed manufacturing method will not reduce the cost to lesser than $220.

b) When H0 (null hypothesis) cannot be rejected, it means that indeed the research data proved to show that the newly proposed manufacturing method will reduce the mean cost to lesser than $220.

c) When H0 (null hypothesis) can be rejected it means that research data proved to show that the newly proposed manufacturing method would not reduce the mean cost to lesser than the current mean cost of $220.  Hence, the manager's proposal would not be accepted.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b