Instructions: This quiz consists of 12 MC questions. You have 2 hours to complete it. Work individually! You may use your own formula sheets containing relevant hand-written notes as well as a standard or scientic calculator. To receive full credit, you must show all of your work. Good luck! 1. The amounts of hours that adults sleep are normally distributed and is known to have a mean of 6.8 hours with a known standard deviation of 1.4 hours. A common recommendation is that adults should get between 7 and 9 hours of sleep each night. If we randomly collect a sample of 5 adults, what is the probability that the sample mean is between 7 hours and 9 hours. (4 points) 0.24 0.37 0.63 0.76 3.12 fc 2. If we randomly collect a sample of 100 adults, would the probability change? (1 point) 9999'? a. Yes, the probability would increase as the standard error increases b. Yes, the probability would increase as the standard error decreases 0. Yes, the probability would decrease as the standard error increases (1. Yes, the probability would decrease as the standard error decreases e. No, the probability would remain the same because the probability depends on the mean and standard deviation, not the sample size