Distillation is a process for separating and collectingsubstances according to their reaction to heat. When heat isapplied to a mixture, the substance that evaporates and iscollected as it cools is the distillate. The unevaporated portionof the mixture is the residue. Oil obtained from orange blossomsthrough distillation is used in perfume. Suppose the oil yield isnormally distributed. In a random sample of eleven distillations,the sample mean oil yield was 980.2 grams with sample standarddeviation 27.6 grams. If possible, answer (a) to (d). If notpossible, explain.
(a) Find the point estimate.
(b) Find the standard error.
(c) Find the margin of error at the 99% confidence level.
(d) Find and interpret the 99% confidence interval.