Assume that the true value of the speed of sound in air at 20degreeC is 343.5 m/

Question

Assume that the true value of the speed of sound in air at 20degreeC is 343.5 m/s. Three students named Abe, Barb, and Cal make the following measurements in (m/s) of the speed of sound in air at 20degreeC: Abe: 357.4, 339.6, 346.2, 349.2 Barb: 322.6, 324.7, 3235, 326.9 Cal: 340.6, 347.6, 342.6, 345.8 Calculate the mean ( ), standard deviation from mean (sigmav n-1), and standard error (alpha v) for each student's measurements. Comment on the accuracy and precision of each student's measurements, and indicate which student (if any) seems to have a systematic error.

Explanation / Answer

mean = x' = xi/n

variance = = ((1/N)((xi-x')2))

standard error = /n

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Abe: 357.4,339.6,346.2,349.2

mean = 348.1

variance = = 7.38377

standard error = 3.692

Barb: 322.6, 324.7, 323.5, 326.9

mean = 324.425

variance = = 1.86078

standard error = 0.930

Cal: 340.6, 347.6, 342.6, 345.8

mean = 344.15

variance = = 3.14272

standard error = 1.571

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