Thirty-seven Japanese sumo rikishi (wrestlers) were measured for the holding force of their hands in the mid-1990s. The sumo wrestlers had a mean holding force of 170 pounds with a standard deviation of 24 pounds. The holding force values were normally distributed.
Construct a 95% confidence interval using a student's t-distribution for the population mean hand grip.
|Confidence interval statistics|
|Find a tc value from a confidence level c and sample size n||tc||=TINV(1-c,n-1)|
|Calculate an error tolerance E of a mean for any n ≥ 5 using sx.||E||=tc*sx/SQRT(n)|
|Calculate a confidence interval for a population mean µ from a sample mean x and an error tolerance E||x-E≤ µ ≤x+E|