1. A recent study of the Greater Los Angeles Taxi Driver Association demonstrated that the average or media tariff that they charge from Hermosa Beach to the International Airport of Los Angeles is $18.00 and the standard deviation is $3.50. We select a sample of 15 tariffs.
a) Which is the probability that the median of the sample is between $17 and $20?
b) What we must suppose to do the previous calculation?
2. The average or median quantity of groceries that every client buys in Churchill Grocery Store is $23.50. The population has a positive slant and the standard deviation is not known. Answer the following questions for a sample of 50 clients.
a) If the standard deviation of the sample is $5.00, which is the probability that the average or median of the samples is at least $25.00?
b) Once again, suppose that the standard deviation of the average or median is $5.00. Which is the probability that the average or median of the sample is greater than $22.50 but less than $25.00?