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)