Question

A quality control specialist for a restaurant chain takes a random sample of size 14 to check the amount of soda served in the 16 oz. serving size. the sample mean is 13.50 with a sample standard deviation of 1.51. assume the underlying population is normally distributed. find the 95% confidence interval for the true population mean for the amount of soda served. (round your answers to two decimal places.)

Answer 1

At 95% confidence interval, true population mean is given by

x+/- 2sd

where x= sample mean and sd = sample standard deviation
True mean of population = 13.50 +/- 2*1.51 = 13.50+/-3.02

Interval: 13.50+3.02, 13.50-3.02 = 16.51, 10.48