D 7..EOC59-E Question Helpv Q %59 Suppose a person is employed at a college in which- of the student population is femalet They are currently teaching statistics to 130 students this semester. They would like to select 40 students randomly from this group to participate in one of their research projects. Complete parts a through :1 below. a. What is the probability that 30 or more students in their sample will be female? The probability is a. (Round to four decimal places as needed) b. What is the probability that 27 or more students in their sample will be female? The probability is a (Round to four decimal places as needed) 0. What is the probability that between 28 and 36 of the students in their sample will be female? The probability is n. (Round to four decimal places as needed) @ 7.EOC.43-E Question Help V 'G 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 0.9857 . (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that the sample mean will be more than $2.72? The probability that the sample mean will be more than $2.72 is 0.0721 . (Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that the sample mean will be between $2.71 and $2.78? The probability that the sample mean will be between $2.71 and $2.78 is 0.1356 . (Type an integer or decimal rounded to four decimal places as needed.) d. Suppose the sample mean is $2.76. Does this result support the average gasoline price ndings? Explain your answer. The probability that the average price per gallon is more than $2.76 is (Type an integer or decimal rounded to four decimal places as needed.) (7/9 7.EOC.45-E 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 0.9564 . (Round to four decimal places as needed.) I). What is the probability that less than 65% of the students in the sample consume alcohol weekly? The probability is 0.9890 . (Round to four decimal places as needed.) c. What impact would changing the sample size to 110 have on the results in part a? Select the correct choice below and, if necessary, ll in the answer box to complete your choice. OA. OB. OC. The value of the probability decreases. The new value of the probability is (Round to four decimal places as needed.) The value of the probability increases. The new value of the probability is (Round to four decimal places as needed.) There is no change to the value of the probability. Question Help V a @ 7HEOC47-E Question Help V Q The concerns 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 1.0000 . (Round to four decimal places as needed.) I). What is the probability that 45 or more people from this sample are concerned about the digital environment? The probability is 0.9922 . (Round to four decimal places as needed.) c. If 57 people in the sample indicated that they are concerned about the digital environment, what conclusions can the tech company make? Consider a probability of less than 0.05 to be small. Select the correct choice below and fill in the answer box to complete your dioice. (Round to four decimal places as needed.) 0 A. The tech company should conclude that the results do not support the claim that at least 29% of the experts believe that in the future our lives will be more harmed than helped by their digital environment because the probability of nding a sample proportion at least as extreme as the one found is which is greater than 0.05. O B. The tech company should conclude that the results do support the claim that at least 29% of the experts believe that in the future our lives will be more harmed than helped by their digital environment because the probability of nding a sample proportion at least as extreme as the one found is which is less than or equal to 0.05. O C. The tech company should conclude that the results do not support the claim that at least 29% of the experts believe that in the future our lives will be more harmed than helped by their digital environment because the probability of nding a sample proportion at least as extreme as the one found is which is less than or equal to 005. O D. The tech company should conclude that the results do support the claim that at least 29% of the experts believe that in the future our lives will be more harmed than helped by their digital environment because the probability of finding a sample proportion at least as extreme as the one found is which is greater than 0.05. @ 7.EOC.55-E Question Help V O In 2016 Americans owed $1.3 trillion in student loans, The default rates of college student loans determine eligibility for colleges 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 recent 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 0.1948 , (Round to four decimal places as needed.) b. What is the probability that 15% or more of this sample has defaulted on their student loans? The probability is 0.0802'. (Round to four decimal places as needed.) c. What is the probability that between 10% and 20% of this sample has defaulted on their student loans? The probability is . (Round to four decimal places as needed.) 7HE0658-E Question Help V at Obtaining a drivers license 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 US. teenagers between the ages of 17 and 19 did not possess a driver's license. A random sample of 150 17-to-19yearold 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 0.7073 . (Round to four decimal places as needed.) b. What is the probability that 50 or more teenagers of this sample had not obmined a driver's license? The probability is 0.0735 . (Round to four decimal places as needed.) c. What is the probability that between 35 and 40 teenagers had not obtained a driver's license? The probability is . (Round to four decimal places as needed.) @ 7.EOC.52-E Question Help V at The average starting salary for an MBA graduate in the class of 2018 was $110,000. Assume the population standard deviation for starting MBA salaries was $18,000. A random sample of 30 MBA graduates from the class of 2018 was selected. a. What is the probability that the sample mean is less than $118,000? b. What is the probability that the sample mean is more than $102,000? 6. What is the pmbability that the sample mean is between $102,000 and $110,000? d. Suppose the sample mean was $112,500. Does this result support the average starting salary ndings