Question

Potassium bitartrate, KC4H506, is a compound that occurs naturally in grapes, and therefore, also occurs naturally in wine. When wine is chilled, the potassium bitartrate may crystallize, forming "wine diamonds" -- crystals that fall to the bottom of the bottle. The formation of the crystals and the quantity formed depends on temperature, ethanol concentration, and potassium bitartrate concentration. Bob the Wine Quality Control Engineer wishes to determine the population mean potassium bitartrate concentration in wine produced at Tallula's Fine Liquors. Bob studies a sample consisting of 81 wine bottles. He finds the sample mean potassium bitartrate concentration is 0.800 g/L with a sample standard deviation of 0.110 g/L. Construct a 90% two-sided confidence interval on the population mean potassium bitartrate concentration. Give your answer to four decimal places. Show your work.

Answer 1

solution n=81 sample mean 6.800 sample standard deviation 8) = 1110 then got. confidence Interual for population Potassiuum. Mean = n I s tut turią - toi-lg lg Jn int, & 2 = 1.6641 0001 llox 1.6641 581 800 + 1 0203 = [.77979 0203) ms