Chapter 7 presented a CI for the variance s2 of a normal populationdistribution. The key
Chapter 8, Problem 82(choose chapter or problem)
Chapter 7 presented a CI for the variance s2 of a normal populationdistribution. The key result there was that the rvhas a chi-squared distribution withdf. Consider the null hypothesis (equivalently,). Then when H0 is true, the test statistichas a chi-squared distribution withdf. If the relevant alternative is , rejecting H0 ifgives a test with significance level a.To ensure reasonably uniform characteristics for a particularapplication, it is desired that the true standard deviation of thesoftening point of a certain type of petroleum pitch be at most.50C. The softening points of ten different specimens weredetermined, yielding a sample standard deviation of .58C.Does this strongly contradict the uniformity specification?Test the appropriate hypotheses using .
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