Lucy lives in Lowtown. On Saturday she will visit her friend Martha who lives in Midtown, and she will arrive in time for lunch at 12:30
Her journey will consist of a 10-minute walk to Lowtown station, then a train ride to Midtown
station and finally a bus ride to Martha's house.
Trains leave Lowtown at 06:45 and then every 30 minutes until 21:15, taking 1 hour 20 minutes to
reach Midtown
Buses leave Midtown at 08:00 and then every 20 minutes until 21:00, arriving at Martha's house
12 minutes later
What is the latest time that Lucy can leave home so that she arrives at Martha's house in time for
lunch?

People end up tossing 12% of what they buy at the grocery store. assume this is the true population proportion and that you plan to take a sample survey of 540 grocery shoppers to further investigate their behavior. a. calculate the mean and the standard error for the sample proportion p. b. describe the sampling distribution of p in part a. draw a graph of this probability distribution with its mean and standard deviation. what is the probability that your survey will provide a sample proportion more than 15%? c. d. population proportion? what is the probability that your survey will provide a sample proportion within + 0.03 of the