1: Assume that the distribution of time spent on leisure activities by adults living in household with no young children is normally distributed with a mean of 4.5 hours per day and a standard deviation of 1.3 hours per day.Find the probability that the amount of time spent on leisure activities per day for a randomly selected adult from the population of interest is more than 7.3 hours per day. Round your answer to four decimal places.


2: The scores of individual students on the American College Testing (ACT) program composite college entrance examination have a normal distribution with mean 18.6 and standard deviation 6.0. Forty-nine randomly selected seniors take the ACT test. What is the probability that their mean score is greater than 20? Round your answer to 4 decimal places.




3: A recent study reported that 12% of people toss away about half of what they buy at the grocery store. Assume that this is the true population proportion. You surveyed a random sample of 450 grocery shoppers and found out that 72 of them end up tossing away about half of the groceries they buy at the grocery store.



What is p? Blank 1

What is ? Round to 3 decimal places if needed. Blank 2

What is the standard deviation of the sampling distribution of ? Round to 3 decimal places. Blank 3

Do you find unusually high the proportion of shoppers in your sample who said they toss away about half of the groceries? Answer yes or no Blank 4