MATH 225N Final Exam Questions and Answers Graded A

Question 1 · 1/1 points A fitness center claims that the mean amount of time that a person spends at the gym per visit is 33 minutes. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter μ. ________________________________________ That is correct! ________________________________________ H0: μ≠33; Ha: μ=33 H0: μ=33; Ha: μ≠33 H0: μ≥33; Ha: μ<33 H0: μ≤33; Ha: μ>33 Answer Explanation Correct answer: H0: μ=33; Ha: μ≠33 Let the parameter μ be used to represent the mean. The null hypothesis is always stated with some form of equality: equal (=), greater than or equal to (≥), or less than or equal to (≤). Therefore, in this case, the null hypothesis H0 is μ=33. The alternative hypothesis is contradictory to the null hypothesis, so Ha is μ≠33. • • • • Question 2 · 1/1 points The answer choices below represent different hypothesis tests. Which of the choices are right-tailed tests? Select all correct answers. ________________________________________ That is correct! ________________________________________ • H0:X≥17.1, Ha:X<17.1 • ________________________________________ • H0:X=14.4, Ha:X≠14.4 • ________________________________________ • H0:X≤3.8, Ha:X>3.8 • ________________________________________ • H0:X≤7.4, Ha:X>7.4 • ________________________________________ • H0:X=3.3, Ha:X≠3.3 • ________________________________________ Answer Explanation Correct answer: H0:X≤3.8, Ha:X>3.8 H0:X≤7.4, Ha:X>7.4 Remember the forms of the hypothesis tests. • Right-tailed: H0:X≤X0, Ha:X>X0. • Left-tailed: H0:X≥X0, Ha:X<X0. • Two-tailed: H0:X=X0, Ha:X≠X0. So in this case, the right-tailed tests are: • H0:X≤7.4, Ha:X>7.4 • H0:X≤3.8, Ha:X>3.8 • • • • Question 3 · 1/1 points Find the Type II error given that the null hypothesis, H0, is: a building inspector claims that no more than 15% of structures in the county were built without permits