{ "key_pair_value_system": true, "answer_rating_count": "", "question_feedback_html": { "html_star": "", "html_star_feedback": "" }, "answer_average_rating_value": "", "answer_date_js": "2024-06-28T09:17:18-04:00", "answer_date": "2024-06-28 09:17:18", "is_docs_available": null, "is_excel_available": null, "is_pdf_available": null, "count_file_available": 0, "main_page": "student_question_view", "question_id": "4281326", "url": "\/study-help\/questions\/a-personnel-director-in-a-particular-state-claims-that-the-4281326", "question_creation_date_js": "2024-06-28T09:17:18-04:00", "question_creation_date": "Jun 28, 2024 09:17 AM", "meta_title": "[Solved] A personnel director in a particular stat | SolutionInn", "meta_description": "Answer of - A personnel director in a particular state claims that the mean annual income is greater in one of the state's countie | SolutionInn", "meta_keywords": "personnel,director,state,claims,annual,income,greater,one,s,counties,county,random", "question_title_h1": "A personnel director in a particular state claims that the mean annual income is greater in one of the state's counties (county A) than it", "question_title": "A personnel director in a particular state claims that the mean annual", "question_title_for_js_snippet": "A personnel director in a particular state claims that the mean annual income is greater in one of the state's counties (county A) than it is in another county (county B) In County A, a random sample of 14 residents has a mean annual income of $41,900 and a standard deviation of $8400 In County B, a random sample of 13 residents has a mean annual income of $37,700 and a standard deviation of $5300 At a 0 05, answer parts (a) through (e) Assume the population variances are not equal If convenient, use technology to solve the problem (a) Identify the claim and state Ho and Ha Which is the correct claim below O A The mean annual income in county A is greater than in county B O B The mean annual incomes in counties A and B are equal O C The mean annual income in county A is less than in county B O D The mean annual incomes in counties A and B are not equal What are Ho and Ha The null hypothesis, Ho, is V The alternative hypothesis, Ha, is 4 Which hypothesis is the claim O The alternative hypothesis, Ha The null hypothesis, Ho (b) Find the critical value(s) and identify the rejection region(s) Enter the critical value(s) below (Type an integer or decimal rounded to three decimal places as needed Use a comma to separate answers as needed ) Select the correct rejection region(s) below O A to to O c t to (c) Find the standardized test statistic t (Type an integer or decimal rounded to three decimal places as needed ) (d) Decide whether to reject or fail to reject the null hypothesis the null hypothesis (e) Interpret the decision in the context of the original claim At the 5 significance level, enough evidence to support the personnel director's claim", "question_description": "
\"image<\/div><\/div><\/div><\/figure> A personnel director in a particular state claims that the mean annual income is greater in one of the state's counties (county A) than it is in another county (county B). In County A, a random sample of 14 residents has a mean annual income of $41,900 and a standard deviation of $8400. In County B, a random sample of 13 residents has a mean annual income of $37,700 and a standard deviation of $5300. At a = 0.05, answer parts (a) through (e). Assume the population variances are not equal. If convenient, use technology to solve the problem. (a) Identify the claim and state Ho and Ha- Which is the correct claim below? O A. \"The mean annual income in county A is greater than in county B.\" O B. \"The mean annual incomes in counties A and B are equal.\" O C. \"The mean annual income in county A is less than in county B.\" O D. \"The mean annual incomes in counties A and B are not equal.\" What are Ho and Ha? The null hypothesis, Ho, is V. The alternative hypothesis, Ha, is 4 Which hypothesis is the claim? O The alternative hypothesis, Ha The null hypothesis, Ho (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Select the correct rejection region(s) below. O A. - to to O c. t to (c) Find the standardized test statistic. t= (Type an integer or decimal rounded to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 5% significance level, enough evidence to support the personnel director's claim<\/t>", "transcribed_text": "", "related_book": { "title": "Core Macroeconomics", "isbn": "978-1429278478, 1429278471, 978-1429278492, 1429278498, 1464191433, 978-1464191435", "edition": "3rd edition", "authors": "Eric Chiang", "cover_image": "https:\/\/dsd5zvtm8ll6.cloudfront.net\/si.question.images\/book_images\/648.jpg", "uri": "\/textbooks\/core-macroeconomics-3rd-edition-648", "see_more_uri": "" }, "free_related_book": { "isbn": "9388318145", "uri": "\/textbooks\/a-mathematician-s-apology-1st-edition-978-9388318143-305074", "name": "A Mathematician S Apology", "edition": "1st Edition" }, "question_posted": "2024-06-28 09:17:18", "see_more_questions_link": "\/study-help\/questions\/sciences-physics-2023-November-14", "step_by_step_answer": "The Answer is in the image, click to view ...", "students_also_viewed": [ { "url": "\/scranton-refrigeration-corporation-began-operations-at-the-beginning-of-the", "description": "Scranton Refrigeration Corporation began operations at the beginning of the current year. 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