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PVC Pipe Izod Impact Strength Statistical Analysis

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An Izod impact test was performed on 20 samples of PVC pipe to test their impact strength. The average strength was 1.113 ft-lb/in with a standard deviation of 0.325 ft-lb/in. This was compared to the industry standard of greater than 1.0 ft-lb/in using a hypothesis test with alpha of 0.01, which found that the impact strength was not statistically greater than the standard.

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An Izod impact test was performed on 20 specimens of PVC pipe. The ASTM standard for this material requires that Izod impact strength must be greater than 1.0 ft-lb/in. The sample average and standard deviation obtained were ( x bar )=1.113 and s = 0.325, respectively. Test H0: ? = 1.0 versus H1: ? > 1.0 using ? = 0.01 and draw conclusions. t0 = ________________________ t?,n-1 = _________________ An Izod impact test was performed on 20 specimens of PVC pipe. The ASTM standard for this material requires that Izod impact strength must be greater than 1.0 ft-lb/in. The sample average and standard deviation obtained were ( x bar )=1.113 and s = 0.325, respectively. Test H0: ? = 1.0 versus H1: ? > 1.0 using ? = 0.01 and draw conclusions. Solution sample size,n = 20 sample mean,x = 1.113 standard deviation,s = 0.325 assumed population mean,u = 1 alpha,a = 0.01 H0: u = 1 H1: u > 1 test statistic, t0 = (x-u)/(s/sqrt(n)) t0 = 1.555 critical value = t(a,n-1) = t(0.01,19) critical value = 2.539 Since t < critical value, H0 can not be rejected So, we conclude that Izod impact strength is NOT greater than 1.0 ft-lb/in

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PVC Pipe Izod Impact Strength Statistical Analysis

  • 1. An Izod impact test was performed on 20 specimens of PVC pipe. The ASTM standard for this material requires that Izod impact strength must be greater than 1.0 ft-lb/in. The sample average and standard deviation obtained were ( x bar )=1.113 and s = 0.325, respectively. Test H0: ? = 1.0 versus H1: ? > 1.0 using ? = 0.01 and draw conclusions. t0 = ________________________ t?,n-1 = _________________ An Izod impact test was performed on 20 specimens of PVC pipe. The ASTM standard for this material requires that Izod impact strength must be greater than 1.0 ft-lb/in. The sample average and standard deviation obtained were ( x bar )=1.113 and s = 0.325, respectively. Test H0: ? = 1.0 versus H1: ? > 1.0 using ? = 0.01 and draw conclusions. Solution sample size,n = 20 sample mean,x = 1.113 standard deviation,s = 0.325 assumed population mean,u = 1 alpha,a = 0.01 H0: u = 1 H1: u > 1 test statistic, t0 = (x-u)/(s/sqrt(n)) t0 = 1.555 critical value = t(a,n-1) = t(0.01,19) critical value = 2.539 Since t < critical value, H0 can not be rejected So, we conclude that Izod impact strength is NOT greater than 1.0 ft-lb/in