Applications | RapidIdentity x _ Quizzes 2 X . Search Results | Course Hero + X - > C A learn.vccs.edu/courses/500264/external_tools/retrieve?display=full_width&url=https%3A%2F%2Fvccs.quiz-Iti-iad-prod.instructure.com%2FIti%2Flaunch%3Fmodule_session%... [ * @ G Return Submit Objectives 25. Conduct hypothesis tests for population means and proportions. 28. Use a p-value to reach a conclusion in a hypothesis test. 39. Calculate descriptive and inferential statistics using an appropriate statistical software package. Instructions This homework assignment requires the use of StatCrunch; the data set for Problem 8 is located in the StatCrunch Assignments group. For multiple choice questions, select the most correct answer. For questions requiring you to input a numerical answer, be sure to follow all rounding instructions exactly. E 35 1 Questions? 2 If you have questions about this homework assignment, please post them in the Week 9 Discussion Discussion Forum. 1 0.5 points 4 Which of the following is NOT a requirement of testing a claim about a population mean using the Student's t distribution? A O The sample observations are a simple random sample. 5 Either the population is normally distributed or n 2 30 or both. 6 O The sample mean is less than 30. The value of the population standard deviation o is unknown. 8 2 0.5 points Suppose a college administrator claims that the true average score on a particular student survey is 4.00. Express in symbolic form the null and alternative hypotheses needed to test the administrator's claim. 10 Ho : H = 4.00 HA : H 4.00 -> Type here to search O Ei Raining now 9:39 PM 10/16/2022 21Applications | RapidIdentity * \\ Quizzes 2 * *Dashboard X + X C A learn.vccs.edu/courses/500264/external_tools/retrieve?display=full_width&url=https%3A%2F%2Fvccs.quiz-Iti-iad-prod.instructure.com%2Flti%2Flaunch%3Fmodule_session%... [ * [ @ G Return Submit HA : H > 4.00 3 0.5 points For the hypothesis test in Problem 2, suppose that 83 student surveys are collected, and that their mean score was 3.84 with standard deviation 0.51. What is the resulting p-value? (Round your answer to three decimal places; add trailing zeros as needed.) The p-value = type your answer.. 88 8 1 2 4 0.5 points Using the information in Problem 3, identify the appropriate decision for the hypothesis test in Problem 2, along with its interpretation. Use a = 0.10. O Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the true average score is 4.00 4 Reject H.. There is insufficient evidence to warrant rejection of the claim that the true average score is 4.00. 5 Reject Ho. There is sufficient evidence to warrant rejection of the claim that the true average score is 4.00 6 Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the true average score is 4.00. 5 0.5 points 8 In a test of effectiveness of garlic in lowering cholesterol, a random sample of individuals were treated with raw garlic. For each individual, their cholesterol levels (in milligrams per deciliter) were measured both before and after the treatment and the difference between the results (before minus after) was recorded. Express in symbolic form the null and 9 alternative hypotheses needed to test the claim that for all patients undergoing this treatment, the mean difference between their two readings (u) will be greater than 0. 10 O Ho: H = 0mg/dL HA : H >Omg/dL O Ho : H = 0mg/dL HA : u =Omg/dL O Ho: u > Omg/dL HA : H = Omg/dL O Ho : H = 0mg/dL HA: u20mg/dL - Type here to search O Ei @ 51 Ca Raining now 9:39 PM 10/16/2022 21Applications | RapidIdentity x _ Quizzes 2 * *Dashboard X + X - > C A learn.vccs.edu/courses/500264/external_tools/retrieve?display=full_width&url=https%3A%2F%2Fvccs.quiz-Iti-iad-prod.instructure.com%2FIti%2Flaunch%3Fmodule_session%... [ * @ G Return Submit HA : H 20 mg/dL 6 0.5 points For the hypothesis test in Problem 5, suppose that for the 81 individuals who took part in the study, their mean difference was 0.2 with standard deviation 2.38. Calculate the resulting p-value. (Round your answer to three decimal places; add trailing zeros as needed.) 88 8 The p-value = type your answer... 1 2 7 0.5 points 2 Using the information in Problem 6, identify the appropriate decision for the hypothesis test in Problem 5, along with its interpretation. Use a = 0.01. O Reject Ho. There is sufficient evidence to support the original claim that the mean difference is greater than 0. 4 Fail to reject Ho. There is sufficient evidence to support the original claim that the mean difference is greater than 0. 5 Reject Ho. There is insufficient evidence to support the original claim that the mean difference is greater than 0. 6 O Fail to reject Ho. There is insufficient evidence to support the original claim that the mean difference is greater than 0. 8 8 0.5 points Suppose a researcher claims that u, the average magnitude of all earthquakes (as measured on the Richter scale), is greater than 1.00. Express in symbolic form the null and 9 alternative hypotheses needed to test the researcher's claim. Ho : H = 1.00 10 HA : H = 1.00 O Ho : H = 1.00 HA : u > 1.00 O Ho : H = 1.00 HA : H = 1.00 O Ho : H 2 1.00 HA : H C A learn.vccs.edu/courses/500264/external_tools/retrieve?display=full_width&url=https%3A%2F%2Fvccs.quiz-Iti-iad-prod.instructure.com%2FIti%2Flaunch%3Fmodule_session%... [ # @ G Return Submit Suppose a researcher claims that u, the average magnitude of all earthquakes (as measured on the Richter scale), is greater than 1.00. Express in symbolic form the null and alternative hypotheses needed to test the researcher's claim. Ho : H = 1.00 HA :u = 1.00 O Ho: H = 1.00 HA : H > 1.00 O Ho: H = 1.00 1 HA : H = 1.00 2 O Ho : H 2 1.00 HA : H