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, 6, 8, 5, 6, 3, 7, 9, 6, 7, 8, 2, 7, 6, 7, 5, 9, 7, 7, 8, 6, 2, 6, 5, 8, 7, 7, 6, 3, 8, 5, 5, 8, 8, 6, 8, 8, 8, 7, 6, 7, 8, 5, 5, 5, 5, 1, 6, 6, 8, 9, 6, 6, 5, 5, 8, 6, 5, 4, 5, 5, 9, 6, 7, 1, 7, 6, 8, 7, 8 Sauce B: 7, 6, 8, 2, 9, 6, 7, 1, 8, 6, 1, 5, 6, 5, 7, 2, 8, 6, 7, 5, 8, 6, 2, 8, 8, 7, 3, 5, 6, 5, 6, 7, 8, 3, 7, 8, 6, 6, 1, 6, 7, 6, 8, 6, 3, 7, 8, 6, 7, 7, 8, 6, 2, 6, 8, 5, 5, 7, 5, 8, 3, 6, 5, 6, 6, 6, 7, 8, 7, 1 (a) Calculate the mean and standard deviation for each sample. (Round your answers to 3 decimal places.) x⎯⎯x¯ S Sauce A Sauce B (b) Calculate the coefficient of variation for each sample. (Enter your answer as a percentage rounded to 1 decimal place.)
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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, 6, 8, 5, 6, 3, 7, 9, 6, 7, 8, 2, 7, 6, 7, 5, 9, 7, 7, 8, 6, 2, 6, 5, 8,
7, 7, 6, 3, 8, 5, 5, 8, 8, 6, 8, 8, 8, 7, 6, 7, 8, 5, 5, 5, 5, 1, 6, 6, 8,
9, 6, 6, 5, 5, 8, 6, 5, 4, 5, 5, 9, 6, 7, 1, 7, 6, 8, 7, 8
Sauce B:
7, 6, 8, 2, 9, 6, 7, 1, 8, 6, 1, 5, 6, 5, 7, 2, 8, 6, 7, 5, 8, 6, 2, 8, 8,
7, 3, 5, 6, 5, 6, 7, 8, 3, 7, 8, 6, 6, 1, 6, 7, 6, 8, 6, 3, 7, 8, 6, 7, 7,
8, 6, 2, 6, 8, 5, 5, 7, 5, 8, 3, 6, 5, 6, 6, 6, 7, 8, 7, 1
(a) Calculate the
| x⎯⎯x¯ | S | |
| Sauce A | ||
| Sauce B | ||
(b) Calculate the coefficient of variation for each sample. (Enter your answer as a percentage rounded to 1 decimal place.)
| CVA | % |
| CVB | % |
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