In: Statistics and Probability
The average price for a gallon of gas in the United States is $1.80. Assume that the population standard deviation is $0.50. (a) What is the probability that a sample of 100 gas stations will have a mean price per gallon within ±$0.06 of the population mean? (b) What is the probability that a sample of 100 gas stations will have a mean price per gallon of more than $1.77? (c) What is the probability that a sample of 100 gas stations will have a mean price per gallon of less than $1.86?