Eight readings were measured between two points. The sample mean distance was found to be 79.674m. Distance readings had a sample standard deviation of ±2.5 mm. What is the 99% confidence interval for the population mean? Provide the confidence interval with mm precision.
Sample Mean, x̅ = 79.674m = 79674mm
Level of Significance , α = 0.01
sample std dev , s = 2.5
Sample Size , n = 8
degree of freedom= DF=n-1= 7
't value=' tα/2= 3.4995
Standard Error , SE = s/√n = 0.8839
margin of error , E=t*SE = 3.0931
confidence interval is
Interval Lower Limit= x̅ - E = 79670.9069
mm
Interval Upper Limit= x̅ + E = 79677.0931
mm
Eight readings were measured between two points. The sample mean distance was found to be 79.674m....
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