For the following pairs of assertions, indicate which do not comply with our rules for setting...

For the following pairs of assertions, indicate which do not comply with our rules for setting up hypotheses and why (the subscripts 1 and 2 differentiate between quantities for two different populations or samples):

(a) H0: μ = 100, Ha: μ > 100 These hypotheses comply with our rules. H0 cannot include equality, so these hypotheses are not in compliance. Each μ is a statistic, so these hypotheses do not comply with our rules. The asserted value in H0 should not appear in Ha, so these hypotheses are not in compliance.

(b) H0: σ = 20, Ha: σ ≤ 20 These hypotheses comply with our rules. Ha cannot include equality, so these hypotheses are not in compliance. Each σ is a statistic, so these hypotheses do not comply with our rules. The asserted value in H0 should not appear in Ha, so these hypotheses are not in compliance.

(c) H0: p ≠ 0.25, Ha: p = 0.25 These hypotheses comply with our rules. Ha cannot include equality, so these hypotheses are not in compliance. Each p is a statistic, so these hypotheses do not comply with our rules. The asserted value in H0 should not appear in Ha, so these hypotheses are not in compliance.

(d) H0: μ1 − μ2 = 25, Ha: μ1 − μ2 > 100 These hypotheses comply with our rules. H0 cannot include equality, so these hypotheses are not in compliance. Each μ is a statistic, so these hypotheses do not comply with our rules. The asserted value in H0 should also appear in Ha, so these hypotheses are not in compliance.

(e) H0: S12 = S22, Ha: S12 ≠ S22 These hypotheses comply with our rules. H0 cannot include equality, so these hypotheses are not in compliance. Each S is a statistic, so these hypotheses do not comply with our rules. The asserted value in H0 should not appear in Ha, so these hypotheses are not in compliance.

(f) H0: μ = 120, Ha: μ = 150 These hypotheses comply with our rules. Ha cannot include equality, so these hypotheses are not in compliance. Each μ is a statistic, so these hypotheses do not comply with our rules. If μ appears in H0, then it should not appear in Ha, so these hypotheses are not in compliance.

(g) H0: σ1/σ2 = 1, Ha: σ1/σ2 ≠ 1 These hypotheses comply with our rules. H0 cannot include equality, so these hypotheses are not in compliance. Each σ is a statistic, so these hypotheses do not comply with our rules. The asserted value in H0 should not appear in Ha, so these hypotheses are not in compliance.

(h) H0: p1 − p2 = −0.1, Ha: p1 − p2 < −0.1 These hypotheses comply with our rules. H0 cannot include equality, so these hypotheses are not in compliance. Each p is a statistic, so these hypotheses do not comply with our rules. The asserted value in H0 should not appear in Ha, so these hypotheses are not in compliance.

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Expert Solution

milcah answered 2 years ago

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