With reference to Exercise 11.75, use the method of Section 11.2 to construct a \(95 \%\) confidence interval for \(\gamma\). State what assumptions will have to be made.

Data From Exercise 11.75

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11.75 In an experiment designed to determine the specific heat ratio y for a certain gas, measurements of the vol- ume and corresponding pressure p produced the data: p (lb/in.) 16.6 39.7 78.5 115.5 195.3 546.1 V(in.) 50 30 20 15 10 5 p.Vy Assuming the ideal gas law p. VY = C, use these data to estimate y for this gas.