The article "Adolescents Living the 24/7 Lifestyle: Effects of Caffeine and Technology on Sleep Duration and Daytime Functioning"† describes a study in which researchers investigated whether there is a relationship between amount of sleep and caffeine consumption. They found that teenagers who usually get less than 8 hours of sleep on school nights were more likely to report falling asleep during school and to consume more caffeine on average than teenagers who usually get 8 to 10 hours of sleep on school nights.

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