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7HE0639-E Question HelpV Q Acoording to a government statistical organization, the unemployment rate for workers aged 22 to 27 in April 2018 was 6.4%. Consider a random sample of 140 workers from this age group' a. What is the probability that 10 or fewer will be unemployed? b. What is the probability that 5 or fewer will be unemployed? c. What is the probability that between 5 and 15 of them will be unemployed? 7.EOC.41-E Question Helpv O According to a particular marketing corporation, the per capita consumption of bottled water is 3.3 gallons per month. Assume the standard deviation for this population is 0.95 gallons per month. Consider a random sample of 81 people. a. What is the probability that the sample mean will be less than 3.5 gallons per month? b. What is the probability that the sample mean will be more than 3.2 gallons per month? c. Identify the symmetrical interval that includes 92% of the sample means if the true population mean is 3.3 gallons per month. 7.EOC.43-E Question HeIpV 0 Regular gasoline averaged $2.68 per gallon in June 2018. Assume the standard deviation for gasoline prices is $0.15 per gallon. A random sample of 30 service stations was selected. Complete parts a through d. a. What is the probability that the sample mean will be less than $2.74? The probability that the sample mean will be less than $2.74 is . (Type an integer or decimal rounded to four decimal places as needed.) 7..EOC44-E Question Helpv at Student loan debt is the only form of consumer debt that has grown since the peak of consumer debt in 2008. The average student loan of somebody younger than 30 is $21,050 Assume the standard deviation for debt is $5,500 per student. a. What is the probability that the sample mean will be less than $22,000 for a sample size of 35 students? 1:. Identify the symmetrical interval that includes 86% of the sample means if the true population mean is $21,050 per student. c. Answer the question in part a for a sample size of 70' Explain the differences in these two probabilities 7.EOC.45-E Question Help A health journal found that 56.4% of college students who lived in coed dormitories consumed alcohol weekly (compared with 26.5% who lived in single-sex dormitories). A random sample of 175 students who live in coed dormitories was selected. Complete parts a through d below. a. What is the probability that more than 50% of the students in the sample consume alcohol weekly? The probability is. (Round to four decimal places as needed.)7HEOC47-E Question Help V Q The ooncems about the impact of technology on our lives are growing. There have been recent research reports about the negative impact of digital technology usage on stress, work productivity, happiness, and overall well-being. In light of these concerns. a polling organization asked technology experts about their opinion on our digital life and found that 29% of the experts believe that in the future our lives will be more harmed than helped by their digital environment. In an effort to conrm these results, a local tech company decides to ask 210 randomly selected customers their opinions about their digital life. Answer parts a through c below a. What is the probability that 35 or more people from this sample are concerned about the digital environment? The probability is , (Round to four decimal places as needed') 7.EOC.50-E Question Help V a According to a government agency, the average workweek for an adult in April 2018 was 35.6 hours. Assume the population standard deviation for the number of hours worked per week is 6.0 hours. A random sample of 30 adults worked an average of 311 hours last week. a. Do the results from this sample support the claim by the government agency? I). Identify the symmetrical interval that includes 81% of the sample means if the true population mean is 35.6 hours per week. a. Do the results from this sample support the claim by the government agency? Consider a probability of less than 0.05 to be small. The probability that the sample mean will be greater than 37.1 hours is , The result i support the claim by the government agency that the mean is 35.6 hours because this probability is V 0.05. (Type an integer or decimal rounded to four decimal places as needed) 7.EOC.52-E Question Help V a The average starting salary for an MBA graduate in the class of 2018 was $120,000. Assume the population standard deviation for starting MBA salaries was $16,000. A random sample of 50 MBA graduates from the class of 2018 was selected. a. What is the probability that the sample mean is less than $124,000? b. What is the probability that the sample mean is more than $116,000? 6. What is the probability that the sample mean is between $120,000 and $124,000? d. Suppose the sample mean was $121,500. Does this result support the average starting salary ndings? 7.EOC.53-E Question Help V a A road averages 2,665 vehicles per day with a standard deviation of 555 vehicles per day A trafc counter was used on this road on 31 days that were randomly selected. a. What is the probability that the sample mean is less than 2,500 vehicles per day? I). What is the probability that the sample mean is more than 2,700 vehicles per day? c. What is the probability that the sample mean is between 2,600 and 2,800 vehicles per day? d. Suppose the sample mean was 2,900 vehicles per day. Does this result support the stated population mean for this road? 7HE0055-E Question Help V a In 2016 Americans owed $1.3 trillion in student loans. The default rates of college student loans determine eligibility for oolleges to receive federal student aid. According to the Department of Education, an average of 11.9% of Americans who had student loans defaulted on their loans. A random sample of 215 reoent graduates was randomly selected. Complete parts a through d below. a. What is the probability that 10% or less of this sample has defaulted on their student loans? The probability is . (Round to four decimal plaoes as needed.) 7.EOC.57-E Question Help V at The average licensed driver travels 1.348 miles per month in his or her vehicle. Assume the population standard deviation is 460 miles per month. Determine the interval that will contain 93% of the sample means for the sample sizes in parts a through c. a. 30 drivers h. 40 drivers 6. 50 drivers d. Explain the differences in these probabilities. at Using a sample size of 30 the lower bound of the symmetrical interval is (Type an integer or decimal rounded to one decimal place as needed.) and the upper bound is 7.EOC.58 E Question Help V at Obtaining a driver's lioense at the earliest eligible age has been a teenage ritual that appears to be fading. A study performed by a university's transportation research institute recently found that 28% of U.S. teenagers between the ages of 17 and 19 did not possess a driver's license. A random sample of 150 17-to-19-year-old teenagers was selected. Complete parts a through d. a. What is the probability that 45 or fewer teenagers of this sample had not obtained a driver's license? The probability is , (Round to four decimal places as needed.) 7.EOC.59-E Question Help V at Suppose a person is employed at a oollege in which 51% of the student population is female. They are currently teaching statistim to 125 students this semester. They would like to select 50 students randomly from this group to participate in one of their research projects Complete parts a through d below. a. What is the probability that 30 or more students in their sample will be female? The probability is . (Round to four decimal places as needed.)