**Transcription of Hypothesis Testing Guidelines**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) \( H_0: \mu = 100, \, H_a: \mu > 100 \)- These hypotheses comply with our rules.- \( H_0 \) cannot include equality, so these hypotheses are not in compliance.- Each is a statistic, so these hypotheses do not comply with our rules.- The asserted value in \( H_0 \) should not appear in \( H_a \), so these hypotheses are not in compliance.(b) \( H_0: \mu = 0, \, H_a: \mu \leq 0 \)- These hypotheses comply with our rules.- \( H_0 \) cannot include equality, so these hypotheses are not in compliance.- Each is a statistic, so these hypotheses do not comply with our rules.- The asserted value in \( H_0 \) should not appear in \( H_a \), so these hypotheses are not in compliance.(c) \( H_0: p = 0.25, \, H_a: p = 0.25 \)- These hypotheses comply with our rules.- \( H_0 \) cannot include equality, so these hypotheses are not in compliance.- Each is a statistic, so these hypotheses do not comply with our rules.- The asserted value in \( H_0 \) should not appear in \( H_a \), so these hypotheses are not in compliance.(d) \( H_0: \mu_1 - \mu_2 = 25; \, H_a: \mu_1 + \mu_2 > 100 \)- These hypotheses comply with our rules.- \( H_0 \) cannot include equality, so these hypotheses are not in compliance.- Each is a statistic, so these hypotheses do not comply with our rules.- The asserted value in \( H_0 \) should not appear in \( H_a \), so these hypotheses are not in compliance.(e) \( H_0: S_1^2 = S_2^2, \, H_a: S_1^2 = S_2^2 \)- These hypotheses comply with our rules.- \( H_

Solution According to guidelines we solve three subpart

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) Ho: l = 100, H: H > 100 O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each u is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H, should not appear in H, so these hypotheses are not in compliance. (b) Ho: 0 = 20, H o s 20 O These hypotheses comply with our rules. OH, cannot include equality, so these hypotheses are not in compliance. O Each o is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H, should not appear in H so these hypotheses are not in compliance. a (c) Hoi p+ 0.25, H: p = 0.25 O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each p is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H, should not appear in H, so these hypotheses are not in compliance. (d) Ho: H1 - H2 = 25, H: - H2 > 100 O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each u is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H, should also appear in H,, so these hypotheses are not in compliance. (e) Hg: s,? = s,?, H,; s,? + s,? O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each S is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H. should not appear in H, so these hypotheses are not in compliance. a' (f) Ho: H = 120, H: H = 150 O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each u is a statistic, so these hypotheses do not comply with our rules. O If u appears in Ho, then it should not appear in H so these hypotheses are not in compliance. (9) Ho: 01/02 = 1, H3: 0q/02 * 1 O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each o is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H, should not appear in H, so these hypotheses are not in compliance. (h) Ho: P1- P2 = -0.1, H: P1 - P2< -0.1 O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each p is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H, should not appear in H, so these hypotheses are not in compliance.

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) Ho: l = 100, H: H > 100 O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each u is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H, should not appear in H, so these hypotheses are not in compliance. (b) Ho: 0 = 20, H o s 20 O These hypotheses comply with our rules. OH, cannot include equality, so these hypotheses are not in compliance. O Each o is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H, should not appear in H so these hypotheses are not in compliance. a (c) Hoi p+ 0.25, H: p = 0.25 O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each p is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H, should not appear in H, so these hypotheses are not in compliance. (d) Ho: H1 - H2 = 25, H: - H2 > 100 O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each u is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H, should also appear in H,, so these hypotheses are not in compliance. (e) Hg: s,? = s,?, H,; s,? + s,? O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each S is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H. should not appear in H, so these hypotheses are not in compliance. a' (f) Ho: H = 120, H: H = 150 O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each u is a statistic, so these hypotheses do not comply with our rules. O If u appears in Ho, then it should not appear in H so these hypotheses are not in compliance. (9) Ho: 01/02 = 1, H3: 0q/02 * 1 O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each o is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H, should not appear in H, so these hypotheses are not in compliance. (h) Ho: P1- P2 = -0.1, H: P1 - P2< -0.1 O These hypotheses comply with our rules. O H, cannot include equality, so these hypotheses are not in compliance. O Each p is a statistic, so these hypotheses do not comply with our rules. O The asserted value in H, should not appear in H, so these hypotheses are not in compliance.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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