Question

An Izod impact test was performed on 20 specimens of PVC pipe. The sample mean is 1.25 and the sample standard deviation is 0.25. Test the hypothesis that Ho: 0 = 0.1 vs H : 0 + 0.1 at a = 0.01, and draw a conclusion. State any necessary assumptions about the underlying distribution of the data.

Answer 1

Given, na 20, a: 1.25, S: 0.25, 60 -0.1, a: 0.01 Ho: 6.0.1 He: 6 0.1 are os its use Assum priory This test is said to be parametric requir the assumption that the samples are distributed normally. It assumed that the observations are independent f identically distributed res وليه Test statistic. 2 2 (n-1) s² * efni Go

ge (20-1) (0.25)? (0.12 118.75 X cal 118.75 critical value of chi.squaxe fat n-1 - 19 d.f and *30.01 level of significance Xar, ni No.005,19 at 드 30.5823 Here X cal > X x/2 in-1 Also p value is . We rjeet Ho. less than 0.00001 There is enough evidence to reject Ho. kle conclude that population standard deviation i not :. 0.1