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 t_{c} value from a confidence level c and sample size n | t_{c} | =TINV(1-c,n-1) | |
Calculate an error tolerance E of a mean for any n ≥ 5 using sx. | E | =t_{c}*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 |