Scenario

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.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. 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. The solution is attached Just Essay please

1. Determine the estimate of the mean when the process is in control.
2. 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.
3. 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.

to Cut E AutoSum 11 Wrap Text General Copy Fill Paste Format Painter BIU - - A Merge & Center % " .60 .0 Conditional Format Cell Insert Delete Format 2 Clear Sort & Find & Formatting * as Table * Styles Filter * Select Clipboard Font Alignment Number Styles Cells Editing Chart 2 for =SERIES(,,'Mattress Data"!$B$2:$8$21,1) A B C D E F G H J K L M N O P Q R S T Sample #| Mean of Sample 95.72 95.44 95.40 95.50 6 GUI P W N 95.56 95.72 7 95.60 96.00 8 95.24 95.46 95.80 10 11 10 95.44 95.60 12 11 95.80 95.40 13 12 95.20 14 13 94.82 95.20 Series1 15 14 95.78 95.00 16 15 95.18 94.80 17 16 95.32 94.60 18 17 95.08 19 18 95.22 94.40 20 19 95.04 94.20 21 20 95.48 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 95.40 0.67082 24 ICI 94.729 15 ucl 96.071 1 )Mattress Data Ready Average: 95.40 Count: 20 Sum: 1908.00 # 100% +) D W X 8:45 PM 5/17/2020