State whether the following statements are True or False ex

State whether the following statements are True or False & explain the reason for same

1.Variables are characteristics that are classified into one of two categories.

2.Sample sizes for variables are typically in the range of 4 to 20.

3.The single most important statistical concept in production management is sampling.

4.If a control chart indicates a favorable change in a production process, then an investigation should be conducted to determine the cause of the change.

5.P charts can have lower control limits less than zero.

6.Destructive tests are tests where no tested products survive.

7.One way to reduce the producer\'s risk is to increase the sample size.

8.“D” in DMAIC stands for Design

9.Under TOC, once all the internal constraints are overcome, the external market can become the bottleneck.

10. As per the principles of TOC, a company should always focus on increasing sales revenue as one of the performance measures.

Solution

1.Variables are characteristics that are classified into one of two categories.

True. Variables are classified into - Quantitative and Qualitative categories.

2.Sample sizes for variables are typically in the range of 4 to 20.

False. Sample size depends on the population mean and standard deviation.

3.The single most important statistical concept in production management is sampling.

True. Sampling is important for statistical analysis and minimizing deviations in the process.

4.If a control chart indicates a favorable change in a production process, then an investigation should be conducted to determine the cause of the change.

False. Control chart is used to identify unfavorable changes in the process which need to be investigated.

5.P charts can have lower control limits less than zero.

False. P charts can only have control limits greater than zero as it measures proportion defective.

6.Destructive tests are tests where no tested products survive.

False. Desctructive tests are conducted to test the performance of the product to the specimen\'s failure.

7.One way to reduce the producer\'s risk is to increase the sample size.

False. Increasing sample size increases producer\'s risk.

8.“D” in DMAIC stands for Design

False. D stands for Define where the problem is defined.

9.Under TOC, once all the internal constraints are overcome, the external market can become the bottleneck.

True. There always exists a bottleneck as once a constraint is overcome, another constraint becomes bottleneck. Once the internal constraints are overcome and plant produces at maximum capacity, external constraints might become bottleneck.

10. As per the principles of TOC, a company should always focus on increasing sales revenue as one of the performance measures.

True. Increasing sales revenue should be the goal for which the constraints need to be overcome.