The U.S. Energy Information Administration (US EIA) reportedthat the average price for a gallon of regular gasoline is $3.95 .The US EIA updates its estimates of average gas prices on a weeklybasis. Assume the standard deviation is $.24 for the price of agallon of regular gasoline and recommend the appropriate samplesize for the US EIA to use if they wish to report each of thefollowing margins of error at 95%confidence. Round up to the nextwhole number.
a. The desired margin of error is $.09 Theappropriate sample size is ____ .
b. The desired margin of error is $.06 Theappropriate sample size is ____ .
c. The desired margin of error is $.05 Theappropriate sample size is ____.