The upper control limit is 16.4 if our desired confidence interval is 99.73%.
Given 131 population
standard deviation = 5
sample size = 11.
mean = 131/11 = 11.9.
determine the upper control limit if desired
confidence interval is 99.73%
What is Confidence interval?
In statistics, a confidence interval describes the likelihood that a population parameter will fall between a set of values for a given percentage of the time.
Confidence interval = sample mean ± margin of error
Upper limit = sample mean + margin of error.
margin of error = z* * population of standard deviation/[tex]\sqrt{n}[/tex].
margin of error = 3.00 * 5/[tex]\sqrt{11}[/tex].
value of z* for 99.73% confidence interval is 3.00.
so margin of error = 4.5.
Upper limit = 11.9 + 4.5
Upper limit = 16.4
The upper control limit is 16.4 if our desired confidence interval is 99.73%.
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