Carlinville, Illinois, has just started an ambitious recycling program. Special trucks collect recyclable products once a week, sorted into barrels of paper, glass, and plastic. The amount of glass recycled per week by a single household is normally distributed with mean
pounds and standard deviation
pounds. Suppose 12 households are randomly selected.
The Hotel Association of Canada reported that, because of the high cost of airline tickets and gasoline, more people are taking a staycation, a vacation close to their hometown. According to a survey, 31% of travelers stayed in a hotel near home, visited local attractions, restaurants, and shopped.32 Suppose 250 Canadians planning to take a vacation are selected at random and asked whether they will take a staycation.
a. What is the probability that the sample proportion who will take a staycation is between 0.30 and 0.35?
b. What is the probability that the sample proportion is more than 0.37?
c. Find a value of the sample size n such that the probability that the sample proportion is less than 0.40 is 0.95.