1) To be calculated:
Center line of X-bar chart
Given values:
Number of days = 107 days
Sample size, n = 10 bottles
Average temperature, = 43 degrees
Fahrenheit
Standard deviation, =
1.1 degrees Fahrenheit
Solution:
When constructing an X-bar chart, the centerline is represented by the mean of the given process. In the given scenario;
Mean of the process = 43 degrees Fahrenheit
Centerline = 43 degrees Fahrenheit
2) To be calculated:
Upper control limit (UCLx)
Given values:
Number of days = 127 days
Sample size, n = 5 bottles
Average temperature, = 43 degrees
Fahrenheit
Standard deviation, = 1
degree
Solution:
When constructing an X-bar chart, the upper control limit (UCLx) is calculated as;
UCLx = + 3 (
/
√n)
where;
= mean
temperature
= standard
deviation of given process
n = sample size
Putting the given values in the above formula, we get;
UCLx = 43 + [3 x (1 / √5)]
UCLx = 43 + 1.3416
UCLx = 44.3416
Upper control limit of X-bar chart = 44.3416 degrees Fahrenheit.
Please show all steps. Thank you. For 107 consecutive days, a process engineer has measured the...
For 101 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 9 bottles. The average across all 909 bottles (101 days, 9 bottles per day) was 58 degrees Fahrenheit. The standard deviation across all bottles was 0.8 degrees. (Round your intermediate calculations and final answer to 4 decimal places.) When constructing an X-bar chart, what would be the upper control limit? degrees Fahrenheit
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