237 CHAPTER 8 Section 8.1 1. a. Yes. It is an assertion about the value of a parameter. b. No. The sample median X~is not a parameter. c. No. The sample standard deviation s is not a parameter. d. Yes. The assertion is that the standard deviation of population #2 exceeds that of population #1 e. No. Xand Yare statistics rather than parameters, so cannot appear in a hypothesis. f. Yes. H is an assertion about the value of a parameter. 2. a. These hypotheses comply with our rules. b. Hois not an equality claim (e.g. 20=s), so these hypotheses are not in compliance. c. Hoshould contain the equality claim, whereas Hadoes here, so these are not legitimate. d. The asserted value of 21mm-in Hoshould also appear in Ha. It does not here, so our conditions are not met. e. Each S2is a statistic, so does not belong in a hypothesis. f. We are not allowing both Hoand Hato be equality claims (though this is allowed in more comprehensive treatments of hypothesis testing). g. These hypotheses comply with our rules. h. These hypotheses are in compliance. 3. In this formulation, Hostates the welds do not conform to specification. This assertion will not be rejected unless there is strong evidence to the contrary. Thus the burden of proof is on those who wish to assert that the specification is satisfied. Using Ha: 100<mresults in the welds being believed in conformance unless provided otherwise, so the burden of proof is on the non-conformance claim.