Question

For 120 consecutive days, a process engineer has measured the temperature of champagne bottles as they are made ready for serving. Each day, she took a sample of 8 bottles. The average across all 960 bottles (120 days, 8 bottles per day) was 46 degrees Fahrenheit. The standard deviation across all bottles was 0.8 degree. When constructing an X-bar chart, what would be the center line?

Answer 1

The center line on an X-bar chart for the process engineer's champagne bottle temperature readings would be set at the overall average temperature of 46 degrees Fahrenheit, representing the mean value across all samples taken.

Step-by-step explanation:

When constructing an X-bar chart, which is a type of control chart used to monitor the mean values of a process over time, the center line represents the overall average (mean) of the process being studied. For the process engineer measuring the temperature of champagne bottles, the center line on the X-bar chart would be set at the average temperature across all sampled bottles.

Given that the average temperature recorded over 120 consecutive days from a sample of 960 bottles is 46 degrees Fahrenheit, this value would be used as the center line on the X-bar chart. This average serves as a baseline to detect any variations or shifts in the process over time.

Answer 2

Answer: 46 degrees Fahrenheit

Explanation: Center line is an X double bar which is average across all components. Here it is already given that te average across all 960 bottles (120 days, 8 bottles per day) was 46 degrees Fahrenheit.

There is no need to solve since it's already given therefore the Centre line is 46 degrees Fahrenheit.