eoaise t6 points]: I 1 Decreasing type I error will lead to the increase of type

Question

eoaise t6 points]: I 1 Decreasing type I error will lead to the increase of type Il error under a given sample size I 1 Both type I and type II errors can be reduced by increasing the sample size or collecting more data points I 1 probability of Reject Ho when Ho is actually true. Shewhart control chart sets the Upper Control Limit (UCL) and Lower Control Limit (LCL) at the 3 0 of standard deviation distance from the mean, ie., UCL- + 3o, and LCL--3. Draw a norma distribution curve to demonstrate the type error allocated in two tails and evaluate the val under such control limits setting. [4 points] Type I error is the UCL- [Hint: The Z-value or Z-score for UCL can be calculated as3, which corresponds toz

Explanation / Answer

First statement is true.

Because, if type one error increases then type two error decreases. We cannot reduce both simultaneously.

second statement is false. because both errors cannot be decreased simultaneously .

third statement is true.

Type one error = probability (rejecting true null )

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