Question 1. Sparkling Beverage Marketing Study [15] In a recent market research study, a beverage company conducted a survey to assess consumer reactions to a new sparkling beverage. The study involved 300 participants aged between 21 and 49, who were randomly selected to ensure a representative sample. After trying the new drink, participants were asked to rate the appeal of the phrase: "Not as sweet as sodas, not as heavy as energy drinks, and more refreshing than juice or tea" Participants rated the phrase on a scale from 1 to 5, with 5 meaning "extremely appealing" and 1 meaning "not at all appealing." The summarized results of the study are shown in the table below: Gender Age Group Rating Total Male Female 21-24 25-34 35-49 Extremely appealing (5) 151 68 83 48 66 37 Very appealing (4) 91 51 40 36 36 19 Moderately appealing (3) 36 21 15 9 12 15 Slightly appealing (2) 13 7 6 4 6 3 Not at all appealing (1) 9 3 6 4 3 2 Given the data from the Marketing Study, 1. Estimate the probability that a randomly selected consumer aged 21 to 49: a) Would rate the phrase as extremely appealing (a rating of 5). [1] b) Would rate the phrase as moderately appealing or higher (a rating of 3 or more). [1] 2. Estimate the probability that a randomly selected consumer aged 21 to 49: a) Is in the 21-24 age group. [1] b) Is in the 25-34 age group. [1] c) Is in the 35-49 age group. [1] 3. Estimate the probability that a randomly selected consumer aged 21 to 49: a) Is a male who rates the phrase as very appealing (a rating of 4). [1] b) Is in the 35-49 age group and rates the phrase as not at all appealing (a rating of 1). [1] c) Is in the 25-49 age range and rates the phrase as extremely appealing (a rating of 5). [1] 4. Estimate the probability that a randomly selected consumer aged 21 to 49: a) Would rate the phrase as very appealing or extremely appealing (a rating of 4 or 5) given that the consumer is male. Do the same for female consumers. Based on these results, analyze whether there is a significant difference in the appeal of the phrase between males and females. [3] b) Would rate the phrase as very appealing or extremely appealing (a rating of 4 or 5) given that the consumer is in: i. The 21-24 age group. [1] ii. The 25-34 age group. [1] iii. The 35-49 age group. [1] Based on these results, determine which age group finds the phrase most appealing and which finds it least appealing. [1]

Question 1. Sparkling Beverage Marketing Study [15] In a recent market research study, a beverage company conducted a survey to assess consumer reactions to a new sparkling beverage. The study involved 300 participants aged between 21 and 49, who were randomly selected to ensure a representative sample. After trying the new drink, participants were asked to rate the appeal of the phrase: "Not as sweet as sodas, not as heavy as energy drinks, and more refreshing than juice or tea" Participants rated the phrase on a scale from 1 to 5, with 5 meaning "extremely appealing" and 1 meaning "not at all appealing." The summarized results of the study are shown in the table below: Gender Age Group Rating Total Male Female 21-24 25-34 35-49 Extremely appealing (5) 151 68 83 48 66 37 Very appealing (4) 91 51 40 36 36 19 Moderately appealing (3) 36 21 15 9 12 15 Slightly appealing (2) 13 7 6 4 6 3 Not at all appealing (1) 9 3 6 4 3 2 Given the data from the Marketing Study, 1. Estimate the probability that a randomly selected consumer aged 21 to 49: a) Would rate the phrase as extremely appealing (a rating of 5). [1] b) Would rate the phrase as moderately appealing or higher (a rating of 3 or more). [1] 2. Estimate the probability that a randomly selected consumer aged 21 to 49: a) Is in the 21-24 age group. [1] b) Is in the 25-34 age group. [1] c) Is in the 35-49 age group. [1] 3. Estimate the probability that a randomly selected consumer aged 21 to 49: a) Is a male who rates the phrase as very appealing (a rating of 4). [1] b) Is in the 35-49 age group and rates the phrase as not at all appealing (a rating of 1). [1] c) Is in the 25-49 age range and rates the phrase as extremely appealing (a rating of 5). [1] 4. Estimate the probability that a randomly selected consumer aged 21 to 49: a) Would rate the phrase as very appealing or extremely appealing (a rating of 4 or 5) given that the consumer is male. Do the same for female consumers. Based on these results, analyze whether there is a significant difference in the appeal of the phrase between males and females. [3] b) Would rate the phrase as very appealing or extremely appealing (a rating of 4 or 5) given that the consumer is in: i. The 21-24 age group. [1] ii. The 25-34 age group. [1] iii. The 35-49 age group. [1] Based on these results, determine which age group finds the phrase most appealing and which finds it least appealing. [1]

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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