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The speed of light was measured 2,500 times. The average measurement was 299,774 kilometers per second and the standard deviation in the sample was about 14 kilometers per second. (a) What are the con...

The speed of light was measured 2,500 times. The average measurement was 299,774 kilometers per second and the standard deviation in the sample was about 14 kilometers per second. (a) What are the conditions on the measurement process that need to be satisfied so that you can provide an approximate 95% confidence interval for the speed of light based on the above data? (b) Assuming that these conditions are satisfied, report the corresponding confidence interval for the speed of light based on the above measurements. (c) You are given the plot of residuals. Which conditions in (a) can you check using this plot? Would you say that these conditions are satisfied?

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Answer #1

I HOPE ITS HELPFUL TO YOU IF YOU HAVE ANY DOUBTS PLS COMMENTS BELOW..I WILL BE THERE TO HELP YOU ...ALL THE BEST

AS FOR GIVEN DATA..

95% CI = (299774 - 1.96*14/sqrt(2500) ,299774 + 1.96*14/sqrt(2500) )

= ( 299773.4512 , 299774.5488 )

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