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6. The speed of light was measured 2,500 times. The average measurement was 299,774 kilometers per second and the standard de

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Answer #1

a)

we have to assume normality distribution with no bias

b)

(Xbar +- t * sd/sqrt(n))

since n = 2500 >> 30

we can use t = z = 1.96

hence

confidence interval is (299774 +- 1.96* 14/sqrt(2500)

= (299774 +- 0.55)

= (299773.45,299774.55)

c)

residuals are randomly distributed

also it has mean = 0, so no bias is satisfied

also n = 2500 >> 30

hence by CLT, it will be normally distributed

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