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5. The speed of light is measured 64 times by a new procedure. The measurements are...

5. The speed of light is measured 64 times by a new procedure. The measurements are recorded, and show no trend or pattern. The investigators work out the average and SD of the 64 numbers; the average is 299,789km/s and the SD is 10 km/s .

a) The speed of light is estimated as _____; this estimate is likely to be off by ____ or so

b) Find an approximate 95%-confidence interval for the speed of light, showing your work. (You may assume the Gauss model, with no bias).

c) Now the investigator measure the speed of light a 65th time by the same procedure, and get 200,781 km/h . Is this a surprising result? Yes_____ No _____Check one, and give your answer.

Math   Statistics-And-Probability   
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