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

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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: 7, 5, 5, 2, 5, 5, 6, 2, 5, 6, 2, 8, 7, 7, 8, 9, 7, 7, 8, 7, 7, 6, 3, 7, 6, 8, 2, 7, 7, 7, 6, 8, 6, 4, 7, 7, 7, 8, 4, 5, 6, 8, 7, 8, 1, 8, 5, 6, 8, 5, 5, 6, 1, 6, 6, 7, 5, 5, 9, 6, 2, 8, 8, 5, 8, 6, 8, 7, 8, 2 Sauce B: 7, 6, 7, 9, 8, 4, 6, 8, 6, 7, 7, 2, 6, 8, 6, 7, 7, 5, 8, 5, 6, 3, 8, 5, 6, 8, 8, 7, 1, 5, 8, 7, 7, 7, 8, 9, 7, 8, 5, 6, 8, 8, 6, 7, 7, 5, 2, 5, 7, 5, 6, 8, 5, 6, 7, 7, 5, 8, 1, 6, 5, 5, 7, 8, 1, 5, 8, 5, 8, 5 Click here for the Excel Data File (a) Calculate the mean and standard deviation for each sample. (Round your answers to 3 decimal places.) Sauce A Sauce B X S
Transcribed Image Text: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: 7, 5, 5, 2, 5, 5, 6, 2, 5, 6, 2, 8, 7, 7, 8, 9, 7, 7, 8, 7, 7, 6, 3, 7, 6, 8, 2, 7, 7, 7, 6, 8, 6, 4, 7, 7, 7, 8, 4, 5, 6, 8, 7, 8, 1, 8, 5, 6, 8, 5, 5, 6, 1, 6, 6, 7, 5, 5, 9, 6, 2, 8, 8, 5, 8, 6, 8, 7, 8, 2 Sauce B: 7, 6, 7, 9, 8, 4, 6, 8, 6, 7, 7, 2, 6, 8, 6, 7, 7, 5, 8, 5, 6, 3, 8, 5, 6, 8, 8, 7, 1, 5, 8, 7, 7, 7, 8, 9, 7, 8, 5, 6, 8, 8, 6, 7, 7, 5, 2, 5, 7, 5, 6, 8, 5, 6, 7, 7, 5, 8, 1, 6, 5, 5, 7, 8, 1, 5, 8, 5, 8, 5 Click here for the Excel Data File (a) Calculate the mean and standard deviation for each sample. (Round your answers to 3 decimal places.) Sauce A Sauce B X S
(b) Calculate the coefficient of variation for each sample. (Enter your answer as a percentage rounded to 1 decimal place.) CVA CVB % % (c) What is your conclusion about consumer preferences for the two sauces? O On average, consumers seem to prefer Sauce B over Sauce A. O On average, consumers seem to prefer Sauce A over Sauce B.
Transcribed Image Text:(b) Calculate the coefficient of variation for each sample. (Enter your answer as a percentage rounded to 1 decimal place.) CVA CVB % % (c) What is your conclusion about consumer preferences for the two sauces? O On average, consumers seem to prefer Sauce B over Sauce A. O On average, consumers seem to prefer Sauce A over Sauce B.
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