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Eight readings were measured between two points. The sample mean distance was found to be 79.674m....

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.

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Answer #1

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

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