1.a 1.b The weights of California opossums are normally distributed with population mean p = 6 lbs. and population standard deviation 6 = 0.7 lbs. What proportion of individual opossums weigh between 5 to 7 lbs.? A random sample of n = 25 opossums is taken. What is the probability that the sample mean is less than 5.3 lbs.? A wholesale supermarket wants to estimate the population mean (u) for the weight of tomatoes in a box. A random sample is taken, size n = 30. The sample mean is i = 42 lbs. with sample standard deviation 5 = 6 lbs. Create a confidence interval at 90% confidence for the population mean p. A sociologist wants to determine the proportion of community college students who are the first in their family to attend college. A random sample (sample size n = 500} shows 60 students who are first in their family to go to college. Create a confidence interval at 95% confidence for the population proportion p. A researcher wants to estimate the mean time required for an athlete to run a race. The estimate will be made at 95% confidence with an error E = 1 minute. Assume that o = 5 minutes. How large should the sample be