Question

Noodles and Company tested consumer reaction to two spaghetti sauces. Each of 70 judges rated both sauces on a scale of 1 (worst) to 10 (best) using several taste criteria. To correct for possible bias in tasting order, half the judges tasted Sauce A first, while the other half tasted Sauce B first. Actual results are shown below for “overall liking.”

Sauce A: 8, 1, 9, 7, 6, 2, 5, 6, 6, 5, 8, 5, 7, 6, 5, 6, 8, 2, 7, 6, 5, 7, 5, 5, 8, 5, 8, 8, 3, 7, 8, 8, 8, 6, 8, 6, 5, 5, 8, 5, 3, 6, 7, 7, 7, 5, 5, 5, 6, 6, 5, 8, 8, 6, 1, 9, 7, 5, 8, 7, 7, 8, 5, 1, 7, 7, 7, 7, 5, 7

Sauce B: 5, 8, 2, 6, 6, 5, 7, 7, 4, 6, 8, 9, 8, 8, 8, 6, 5, 7, 6, 8, 8, 8, 6, 6, 8, 3, 8, 6, 9, 5, 7, 1, 7, 8, 8, 7, 8, 1, 7, 7, 7, 6, 5, 6, 8, 5, 8, 5, 8, 5, 7, 8, 8, 5, 2, 8, 7, 7, 6, 7, 8, 8, 7, 8, 7, 6, 4, 6, 5, 5

(a) Calculate the mean and standard deviation for each sample. (Round your answers to 3 decimal places.)

(b) Calculate the coefficient of variation for each sample. (Enter your answer as a percentage rounded to 1 decimal place.)

Answer 1