{ "key_pair_value_system": true, "answer_rating_count": "", "question_feedback_html": { "html_star": "", "html_star_feedback": "" }, "answer_average_rating_value": "", "answer_date_js": "2024-06-29T02:06:54-04:00", "answer_date": "2024-06-29 02:06:54", "is_docs_available": null, "is_excel_available": null, "is_pdf_available": null, "count_file_available": 0, "main_page": "student_question_view", "question_id": "4445474", "url": "\/study-help\/questions\/1-according-to-a-poll-of-adults-about-40-work-4445474", "question_creation_date_js": "2024-06-29T02:06:54-04:00", "question_creation_date": "Jun 29, 2024 02:06 AM", "meta_title": "[Solved] 1.) According to a poll of adults, about | SolutionInn", "meta_description": "Answer of - 1.) According to a poll of adults, about 40% work during their summer vacation. Now consider a random sample of 600 ad | SolutionInn", "meta_keywords": "1,poll,adults,40%,work,summer,vacation,random,sample,600,complete,parts", "question_title_h1": "1.) According to a poll of adults, about 40% work during their summer vacation. Now consider a random sample of 600 adults. Complete the following", "question_title": "1.) According to a poll of adults, about 40% work during their", "question_title_for_js_snippet": "1 ) According to a poll of adults, about 40 work during their summer vacation Now consider a random sample of 600 adults Complete the following parts What is the probability that between 37 and 43 of the sampled adults work during summer vacation The probability is (Round to four decimal places as needed ) 2 ) Suppose the distance of fly balls hit to the outfield is normally distributed with a mean of 250 feet and a standard deviation of 50 feet We randomly sample fly balls What is the probability that the 49 balls travelled an average of more than 240 feet 0 9193 0 0807 0 4207 0 5793 3 ) According to the Internal Revenue Service (IRS), the average length of time for an individual to complete IRS Form 1040 is 10 53 hours The distribution is unknown but we will assume the standard deviation is two hours If the length of time for an individual to complete IRS Form 1040 follows normal distribution, would you be surprised if one taxpayer finished his or her Form 1040 in less than 10 hours No, because the probability that one taxpayer finishes their form in less than 10 hours is 0 4 No, because the probability that the average time for the 36 taxpayers to finish their form in less than 10 hours is 0 4 Yes, because the probability that one taxpayer finishes their form in less than 10 hours is 0 05 Yes, because the probability that the average time for the 36 taxpayers finish their form in less than 10 hours is 0 05 4 )Suppose a category of world class runners are known to run a marathon in an average of 145 minutes with a standard deviation of 14 minutes What percentage of world class runners would average between 142 and 146 minutes over 49 races 62 47 6 11 33 69 15 Cannot be determined because the population is not normally distributed 5 )Suppose a category of world class runners are known to run a marathon in an average of 145 minutes with a standard deviation of 14 minutes What is the average time across 49 races that 809 of world class runners would be faster than 143 3 minutes 146 7 minutes 56 8 minutes 133 2 minutes 6 ) The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10 Describe the sampling distribution of the mean for samples of 16 Americans Normally distributed with a mean of 36 and standard deviation of 2 5 Approximately normally distributed with a mean of of 36 and a standard deviation of 2 5 Normally distributed with a mean of 36 and standard deviation of 16 Approximately normally distributed with a mean of 36 and a standard deviation of 16 7 ) The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10, For a group of 16 Americans, what is the probability that the average percent of fat calories consumed is more than 35 65 54 34 46 99 52 45 The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10 Find and interpret the first quartile for the average percent of fat calories 75 of the average percent of fat calories consumed by a group of 16 Americans is less than 34 31 25 of the average percent of fat calories consumed by a group of 16 Americans is less than 34 319 25 6 of the average percent of fat calories consumed by a group of 16 Americans is less than 25 21 75 of the average percent of fat calories consumed by a group of 16 Americans is less than 25 21 ", "question_description": "

1.) According to a poll of adults, about 40% work during their summer vacation. Now consider a random sample of 600 adults. Complete the following parts. What is the probability that between 37 % and 43 % of the sampled adults work during summer vacation? The probability is (Round to four decimal places as needed.)<\/p>

<\/p>

2.) Suppose the distance of fly balls hit to the outfield is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample fly balls. What is the probability that the 49 balls travelled an average of more than 240 feet?<\/p>

0.9193<\/p>

0.0807<\/p>

0.4207<\/p>

0.5793<\/p>

3.) According to the Internal Revenue Service (IRS), the average length of time for an individual to complete IRS Form 1040 is 10.53 hours. The distribution is unknown but we will assume the standard deviation is two hours. If the length of time for an individual to complete IRS Form 1040 follows normal distribution, would you be surprised if one taxpayer finished his or her Form 1040 in less than 10 hours? <\/p>

No, because the probability that one taxpayer finishes their form in less than 10 hours is 0.4<\/p>

No, because the probability that the average time for the 36 taxpayers to finish their form in less than 10 hours is 0.4 Yes, because the probability that one taxpayer finishes their form in less than 10 hours is 0.05<\/p>

Yes, because the probability that the average time for the 36 taxpayers finish their form in less than 10 hours is 0.05<\/p>

<\/p>

4.)Suppose a category of world-class runners are known to run a marathon in an average of 145 minutes with a standard deviation of 14 minutes. What percentage of world-class runners would average between 142 and 146 minutes over 49 races?<\/p>

62.47%6<\/p>

11.33%<\/p>

69.15%<\/p>

Cannot be determined because the population is not normally distributed.<\/p>

<\/p>

5.)Suppose a category of world-class runners are known to run a marathon in an average of 145 minutes with a standard deviation of 14 minutes. What is the average time across 49 races that 809 of world-class runners would be faster than?<\/p>

143.3 minutes<\/p>

146.7 minutes<\/p>

56.8 minutes<\/p>

133.2 minutes<\/p>

<\/p>

6.) The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Describe the sampling distribution of the mean for samples of 16 Americans.<\/p>