Question: Fractures in metals have been studied and it is thought that the rate at which fractures expand is normally distributed. A sample of 14 pieces

Fractures in metals have been studied and it is thought that the rate at which fractures expand is normally distributed. A sample of 14 pieces of a particular steel gave X =

3205 ft∕s.

(a) Find a 95% confidence interval for ????, the true average rate of expansion, if ???? is assumed to be 53 ft/s.

(b) Now suppose ???? is unknown. The sample variance is 6686.53 (ft/s)2. Find a 95%

confidence interval for ????.

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