Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are contained in the file named Houston. Based upon past studies the population standard deviation is known with = $9. Click on the datafile logo to reference the data. a. At 99% confidence, what is the margin of error? b. Develop a 99% confidence interval estimate of the mean amount spent for lunch.Amount20.5014.6323.7729.9629.4932.709.2020.8928.8715.7818.1612.1611.2216.4317.669.5918.8919.8823.1120.1120.3420.0830.3621.7921.1819.2234.1327.4936.5518.3732.2712.6325.5327.7133.8121.7919.1626.3520.0126.8513.6317.2213.1720.1222.1122.4720.3635.4711.8517.886.8330.9914.6218.3826.8525.1027.5525.8714.3715.6126.4624.2416.6620.85