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True or False 1. In a reproducibility and repeatability (R & R) study, it is int

ID: 3354845 • Letter: T

Question

True or False

1. In a reproducibility and repeatability (R & R) study, it is intended to estimate the accuracy of the measurement system

2. The type II error in the control chart can be controlled by the sample size n of the subgroup.

3. We must treat the capacity indices Cp and Cpk as random variables process

4. The confidence of a point estimator is (1 -alpha).

5. In rectified inspection the rejected lots are presumed with 0% defective at the exit.

6. In rectified inspection the accepted lots are presumed with a % of defective output Ps less than % of defective input Po.

7. A fundamental advantage of sampling by attributes over sampling by variables is that it offers the same protection with a smaller number of observations.

8. The sum of two independent and normally distributed random variables is a normal random variable.

9. If in a situation where multiple ethical characteristics are measured in the process and these are independent, it is reasonable to establish an individual graph for each variable with an alpha confidence level.

10. We know the Cp index as the potential capacity of the process, while the Cpk index represents the current capacity.

11. The Average Total Inspected '(ATI) is a criterion used to compare plans when 100% of the lot is inspected.

Explanation / Answer

1. FALSE. Repeatability measures the variation in measurements taken by a single instrument or person under the same conditions, while reproducibility measures whether an entire study or experiment can be reproduced in its entirety.

2.TRUE. The size n of the subgroup can be used to control the type 2 error(Accepting a false null hypothesis) as he subgroup size specified must reflect how the data were collected.Statistically speaking, controlling the subgroup size will ensure that your subgroups represent only common cause variation in the data set, or rather, the variation that naturally occurs in the process.

3. FALSE. The capacity indices are passive devices whose main role is to retroactively monitor process capability. The have been developed under the restrictive assumption of process stability, and the procedures for using them are based on ad hoc rules. So it will not be usefull to have them as random variables.

4.FALSE. We cannot determine the confidence coefficient of a point estimator. 1-alpha is the confidence coefficient of an interval estimate.

5.TRUE. Rejected lots are 100% inspected

6.FALSE. In rectified inspection the accepted lots are presumed with a % of defective inputs Po less than % of defective output Ps.

7.TRUE. The data can be grouped under the attributes instead of recording individual variable values.

8.TRUE. This is a fundamental property of a normal distribution.

9.TRUE. Because the characteristics are independent and we wont be interested in studying the relationship between them.

10. FALSE. Cp= Process Capability. A simple and straightforward indicator of process capability.
Cpk= Process Capability Index. Adjustment of Cp for the effect of non-centered distribution.

11. TRUE. The average number of units inspected per lot, including all units in rejected lots (applicable when the procedure calls for 100% inspection of rejected lots).

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