uu ul Paige l6 points]: I ] Decreasing type I error will lead to the increase of
ID: 3049014 • Letter: U
Question
uu ul Paige l6 points]: I ] 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 ll errors can be reduced by increasing the sample size or collecting more data points I J Type I 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 of standard deviation distance from the mean, i.e., UCL-1 + 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] UCL- [Hint: The z-value or Z-score for UCL can be calculated as-= 3, which corresponds to Z
Explanation / Answer
1)
Decreasing type 1 error will lead to the increase of type 2 error under a given sample size- False
2)
Both type 1 and type 2 errors can be reduced by increasing the sample size or collecting more data points- True
3)
Type 1 error is the probability of reject H0, when H0 is actually true- True
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