#556 The 28-day compressive strength data of 40

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The 28-day compressive strength data of 40 concrete cylinders from Assignment 11 are shown below in MPa (also in E.1.2 in the Kottegoda & Rosso text): 

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Solution: here n = 20, s = 5.045 , alpha = 0.05

(a) from the chi_square table, we can find it's calculated value at n-1 = 19 d.f. and 1-alpha = 0.95 which is 10.12

(b) the one-sided 95% confidence limit for sigma is √{(n-1)*(s^2)/chi_square(n-1,1-alpha)} =

√{(20-1)*(5.045^2)/chi_square(20-1,1-0.05)} = 6.912 < 6.92