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.)

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Mathematics

Noah Snow

24 November, 13:17

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.)

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Barnett · 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