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A scientist measured the speed of light. His values are in​ km/sec and have​ 299,000 subtracted...

A scientist measured the speed of light. His values are in​ km/sec and have​ 299,000 subtracted from them. He reported the results of 22 trials with a mean of 756.23 and a standard deviation of 106.61. ​

a) Find a 98​% confidence interval for the true speed of light from these statistics.

​b) State in words what this interval means. Keep in mind that the speed of light is a physical constant​ that, as far as we​ know, has a value that is true throughout the universe.

​c) What assumptions must you make in order to use your​ method?

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