Explain a type i and type ii error specifically in context

Assignment Help Basic Statistics

Reference no: EM131384595

The time to deliver packaged containers by a logistics company is found from samples of size 4. The mean and standard deviation of delivery times is estimated to be 140 hours and 6 hours, respectively.

(a) Find the 2σ and 3σ control limits for the average delivery time.

(b) Explain a type I and type II error specifically in this context.

(c) Suppose that Rules 1 and 3 are used simultaneously to detect out-of-control conditions. Assuming independence of the rules, what is the overall probability of a type I error for 3σ control limits?

(d) If the mean delivery time shifts to 145 hours, using Rule 1, what is the probability of not detecting this by the second sample after the shift?

(e) What is the ARL using Rule 1? Explain.

Reference no: EM131384595

Questions Cloud

Probability of concluding that the process is out of control : Find the 1σ and 2σ control limits. For the 1σ limits, what is the probability of concluding that the process is out of control when it is really in control?

What is the overall probability of a type i error : Suppose that Rules 2 and 3 are used simultaneously to determine out-of-control conditions. What is the overall probability of a type I error assuming independence of the rules?

How many samples will be analyzed before detecting a change : On average, how many samples will be analyzed before detecting a change in the process mean? Assume that the process mean is now at 110 mm (having moved from 105 mm) and that the process standard deviation is 6 mm. Samples of size 4 are selected f..

Prepare a marketing plan : you will submit a substantial draft to your instructor for grading and feedback. Be sure to download the Marketing Plan outline. It must be used! It is recommended that you start working on your draft in Week 2 after your instructor has approved y..

Explain a type i and type ii error specifically in context : Find the 2σ and 3σ control limits for the average delivery time.- Explain a type I and type II error specifically in this context.

Explain the meaning of a type i error in given context : Suppose that Rules 1 and 2 are used simultaneously for the detection of out-of control conditions. Assuming independence of the rules, what is the overall probability of a type I error? Explain the meaning of a type I error in this context.

Choose one of the professional scenarios provided : Choose one of the professional scenarios provided. Write a Block Business Letter (in the form of the posted example from Week 4) from the perspective of the company management. It should provide bad news and follow the guidelines outlined in Chap..

What are the warning limits : What are the warning limits? If the turnaround time for a test is found to be 40 minutes, is the process in control? Should one consider remedial actions in this situation?

Describe the use of the pareto concept : What are the advantages and disadvantages of using variables rather than attributes in control charts?- Describe the use of the Pareto concept in the selection of characteristics for control charts.

User Account

All Pages