1. For the following curves A, B, and C determine the mean µ and the standard deviation
σ:
Curve | Mean µ | standard deviation σ |
---|---|---|
A | ||
B | ||
C |
Dist/meters |
---|
441 |
433 |
433 |
434 |
436 |
437 |
441 |
436 |
444 |
2. Using global positioning satellite systems, the length of lane four at the Pohnpei state track facility was measured nine times. Use the data above to determine the sample mean x and the sample standard deviation sx. Use this data to calculate a 95% confidence interval for the population mean lane four length.
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 |