A local mattress manufacturer wants to know if its manufacturing process is in or out of control and has hired you, a statistics expert in the field, to analyze its process. Specifically, the business has run 20 random samples of size 5 over the past mont

A local mattress manufacturer wants to know if its manufacturing process is in or out of control and has hired you, a statistics expert in the field, to analyze its process. Specifically, the business has run 20 random samples of size 5 over the past month and has determined the mean of each sample.

2. Answer the questions below in essay format. Your essay must include an introduction, a body, and a conclusion. It must address all relevant parts of each question.

3. Your response should be a minimum of 500 words in length, and it should include both the appropriate statistics and support for the analysis and interpretation.

4. Make sure to cite any source you use in APA format as described in Lesson 0.

Using the Lesson 13 Essay Data File, provide a summary report for the vice president of the mattress company including the following information in an essay with a minimum of 500 words:

Determine the estimate of the mean when the process is in control.
Assuming the process standard deviation is .50 and the mean of the process is the estimate calculated in Question 1, determine the Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the manufacturing process.
Explain the results to the vice-president of the mattress manufacturer focusing on whether, based on the results, the process is in or out of control.