Name: 315 Spring Quis True or False [6 points) 1Decreasing type error will lead

Question

Name: 315 Spring Quis True or False [6 points) 1Decreasing type error will lead to the increase of type ll error under a given sample size. IBoth type 1 and type Ii errors can be reduced by increasing the sample size or collecting more data points I Type error is the 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 times of standard deviation distance f distribution curve to demonstrate the type I error a allocated in two tails and evaluate the value om the mean, i.e., UCL- + 3o, and LCL--3o. Draw a normal under such control limits setting.(4 points (Mint: TheZ-value or Z-score for UCL can be calculated asUCL-g-3, which corresponds to Zu/2) of

Explanation / Answer

Decreasing type I error will lead to increase in type II error under given sample size.

This statement is true.

Type I and Type II can not be avoided entirely. Increase in one results in decrease in other and vice versa.

Both type I error and type II errors can be reduced by increasing the sample size or collecting more data points.

False

Type I and Type II errors are dependent. In other words if Type I error rises,then type II lowers. So, if we assume Type II error constant, then yes with increasing sample size Type I error lowers and vice versa.

Type I error is the probability of rejecting Ho when Ho is actually true.

True

a type I error is the incorrect rejection of a true null hypothesis.

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