Module 3: Critical Thinking CRITICAL THINKING (70 Points) Option 1: Springdale Shopping Survey Instructions The major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown area on Main Street. A telephone survey has been conducted to identify strengths and weaknesses of these areas and to find out how they fit into the shopping activities of local residents. The 150 respondents were also asked to provide information about themselves and their shopping habits. The data are provided in the file SHOPPING. The variables in the survey can be found in the file CODING. The contingency tables and relative frequency probabilities in this exercise are based on the Springdale Shopping Survey database. Information like that gained from the two parts of this exercise could provide helpful insights into the nature of the respondents, their perceptions, and their spending behaviors. In particular, part 2 focuses on how conditional probabilities related to spending behavior might vary, depending on the gender of the respondent. NOTE: Be sure to use five (5) decimal places for your probabilities in the report, as some of them will be quite small. 1. Based on the relative frequencies for responses to each variable, determine the probability that a randomly selected respondent from a. [Variable 4] spends at least $15 during a trip to Springdale Mall. b. [Variable 5] spends at least $15 during a trip to Downtown. c. [Variable 6] spends at least $15 during a trip to West Mall. Comparing the preceding probabilities, rank the areas from strongest to weakest in terms of the amount of money a shopper spends during a typical shopping visit. 2. Based on the relative frequencies for responses to each variable, determine the probability that a randomly selected respondent from a. [Variable 11] feels that Springdale Mall has the highest-quality goods. b. [Variable 11] feels that Downtown has the highest-quality goods. c. [Variable 11] feels that West Mall has the highest-quality goods. Comparing the preceding probabilities, rank the areas from strongest to weakest in terms of the quality of goods offered. 3. Set up a contingency table for the appropriate variables given, and then determine the following probabilities: a. [Variables 4 and 26] Given that the random respondent is a female, what is the probability that she spends at least $15 during a trip to Springdale Mall? Is a male more likely or less likely than a female to spend at least $15 during a visit to this area? b. [Variables 5 and 26] Given that the random respondent is a female, what is the probability that she spends at least $15 during a trip to Downtown? Is a male more likely or less likely than a female to spend at least $15 during a visit to this area? c. [Variables 6 and 26] Given that the random respondent is a female, what is the probability that she spends at least $15 during a trip to West Mall? Is a male more likely or less likely than a female to spend at least $15 during a visit to this area? Based on the preceding probabilities, rank the shopping areas where males and females are most likely to least likely to spend $15 or more during a shopping visit. Paper Requirements Write a report that uses the Written Assignment Requirements under the heading Expectations for CSUGlobal Written Assignments found in the CSU-Global Guide to Writing and APA Requirements. Items that should be included, at a minimum, are a title page, an introduction, a body which answers the questions posed in the problem, and a conclusion paragraph that addresses your findings and what you have determined from the data and your analysis. As with all written assignments, you should have in-text citations and a reference page too. Please include any tables of calculations, calculated values and graphs associated with this problem in the body of your assignment response. NOTE: You MUST submit your Excel file with your report. This will aid in grading with partial credit if errors are found in the report. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 A B C D E F 1 SPRIFREQ 5 4 6 6 4 5 5 4 3 5 6 5 6 4 4 6 6 6 6 3 5 5 5 6 5 6 5 3 5 6 6 6 6 6 4 5 2 3 2 DOWNFREQ 5 6 5 4 6 5 4 5 5 6 4 4 3 6 5 4 5 4 5 5 4 6 5 4 4 5 6 6 3 4 5 4 3 5 5 4 6 4 3 WESTFREQ 5 6 6 6 3 4 5 4 2 6 6 5 5 5 2 6 6 5 6 6 5 5 5 3 6 5 6 5 2 5 6 4 4 5 6 5 4 5 4 SPRSPEND 6 6 7 5 6 7 6 5 4 7 7 7 6 6 5 7 7 7 6 6 7 5 6 7 5 7 4 6 5 6 6 6 7 6 7 7 4 7 5 DOWSPEND 7 7 7 7 7 6 7 7 5 7 6 7 6 7 6 7 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 6 7 6 6 WESSPEND 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 5 7 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 A B C D E F 3 6 4 4 6 4 5 5 5 3 4 3 6 1 4 2 2 4 1 4 3 3 2 4 1 1 2 2 4 4 2 6 2 2 5 1 1 5 5 6 6 6 6 4 3 6 6 2 2 6 4 5 4 5 6 3 6 2 6 2 4 4 2 6 3 4 5 6 3 6 3 6 5 4 5 5 1 5 2 6 5 5 4 4 6 5 6 3 5 5 1 1 5 3 6 1 3 2 3 5 3 1 2 2 2 2 3 6 2 2 3 1 5 2 4 5 4 5 3 1 5 6 5 6 7 5 6 6 6 6 1 3 6 1 3 5 5 2 3 4 7 1 5 7 7 3 1 7 4 5 3 4 6 7 4 3 6 2 6 2 7 6 7 6 5 5 6 7 6 7 2 5 1 5 2 5 6 3 7 3 5 4 1 5 4 4 5 4 7 3 7 2 5 3 2 5 1 6 1 3 5 7 3 3 7 6 7 4 6 7 2 6 2 4 4 7 2 7 1 3 4 5 5 7 4 7 2 5 1 6 3 3 3 4 1 5 1 4 7 1 A 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 3 4 4 5 5 5 4 2 2 1 6 1 6 3 4 5 5 4 1 6 6 6 2 2 5 5 6 6 4 5 3 3 2 3 4 5 5 6 3 5 B 3 3 1 5 4 5 1 3 6 3 2 5 1 5 1 5 4 6 2 6 5 4 1 5 4 1 6 6 6 5 5 6 4 5 4 5 3 5 5 4 C 1 6 2 3 1 2 3 4 3 1 5 3 3 6 3 1 1 3 4 6 6 6 4 5 5 5 6 6 5 6 4 4 3 4 4 5 4 6 6 6 D 3 5 5 1 7 1 1 3 6 4 3 4 6 1 2 7 6 7 6 7 4 5 4 7 5 3 4 6 5 7 7 7 5 7 7 7 6 6 7 4 E 3 7 2 6 2 3 1 2 5 1 3 5 6 4 3 2 3 1 2 7 6 6 7 6 5 7 5 6 7 7 7 7 6 7 6 6 7 7 7 5 F 3 1 7 6 1 1 6 5 2 6 1 1 4 1 1 2 5 3 1 7 5 5 6 5 5 4 6 6 6 7 7 5 5 7 7 7 7 7 7 7 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 A B C D E F 4 5 3 3 1 4 4 5 5 5 4 5 3 5 5 2 5 5 5 5 4 1 5 6 2 5 4 6 3 3 6 6 4 3 4 6 6 5 6 6 5 3 5 5 4 3 6 6 4 5 6 3 5 5 1 5 4 3 3 5 6 4 6 1 5 3 6 5 6 6 5 6 2 5 3 1 4 6 4 5 3 3 4 6 3 1 2 5 5 4 5 5 4 4 6 4 4 6 5 6 6 4 5 5 7 4 5 6 7 7 6 5 4 6 7 7 7 4 5 6 7 5 7 7 6 7 4 7 5 7 5 6 7 6 7 5 7 4 5 7 7 7 6 7 7 7 7 7 6 6 4 7 7 5 7 7 6 6 5 6 5 7 7 7 7 7 6 6 7 6 5 7 7 7 7 5 6 6 5 7 7 6 4 6 6 7 7 7 6 7 4 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 G H I J K L M 7 SPRILIKE 4 5 5 2 3 5 4 4 5 4 3 3 3 3 4 4 4 4 4 4 4 4 5 2 4 4 4 4 4 3 4 4 5 3 4 4 5 4 8 DOWNLIKE 4 4 3 4 3 5 2 3 4 4 3 4 4 2 3 3 4 4 4 3 3 3 3 5 3 4 3 4 4 5 4 4 3 3 4 5 3 3 9 WESTLIKE 4 3 4 3 3 3 4 3 4 3 3 3 3 3 4 2 4 3 3 1 2 3 4 4 2 4 3 4 5 3 3 4 3 2 3 4 4 3 10 BSTEXCHG 1 1 3 4 1 1 1 2 3 1 4 1 4 4 1 1 4 3 1 1 1 4 1 2 1 1 1 1 1 4 1 4 1 1 4 2 1 1 11 BSTQUALI 1 1 4 2 1 1 1 2 2 1 4 2 1 1 1 1 1 1 2 1 4 1 1 2 1 1 1 1 1 2 1 2 1 1 1 2 1 2 12 BSTPRICE 3 3 4 4 1 3 3 3 3 1 3 3 3 4 3 1 3 3 3 2 4 2 3 2 3 2 3 3 1 3 1 3 3 3 1 2 3 3 13 BSTVARIE 1 1 1 1 1 1 1 1 1 1 1 1 2 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 G H I J K L M 3 4 4 5 3 4 4 4 4 5 1 2 5 3 1 5 4 5 2 1 3 3 3 5 1 1 3 2 4 4 3 4 2 1 5 5 1 3 4 5 2 4 3 5 5 2 3 4 4 1 4 3 2 5 4 4 2 5 4 3 1 5 1 1 3 3 2 5 5 1 5 2 1 4 5 1 5 5 4 1 1 4 4 5 3 4 3 4 3 4 3 5 5 1 3 2 2 3 5 5 2 4 3 2 2 4 1 4 4 3 4 4 4 2 1 1 1 5 2 3 1 3 1 1 2 1 2 3 4 4 4 3 2 1 3 3 2 3 4 4 4 1 2 2 2 3 2 4 3 1 1 2 4 2 2 1 1 3 4 4 1 2 1 1 2 1 2 1 2 1 1 4 4 1 4 3 3 4 4 4 2 4 4 3 2 2 4 3 4 1 4 4 3 2 3 3 3 4 4 2 4 3 3 3 2 3 3 3 4 4 1 2 2 3 1 1 4 4 3 1 4 1 3 2 4 2 3 2 4 3 2 2 4 3 1 1 4 1 2 3 1 1 1 1 2 2 2 1 4 1 3 2 2 3 2 4 2 3 3 3 3 4 2 2 1 3 2 4 4 4 1 4 3 1 3 2 4 2 3 3 G 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 4 1 1 2 3 1 1 3 3 2 1 1 1 3 1 5 5 3 1 5 4 5 5 5 4 4 4 4 4 4 5 4 5 4 5 4 5 5 5 5 H 4 5 1 5 1 3 3 5 4 2 5 1 5 2 2 3 2 4 2 4 3 4 3 3 4 3 4 4 2 3 3 3 3 3 4 5 3 4 4 4 I 3 1 1 3 3 4 2 3 5 4 1 5 1 2 3 4 5 5 1 3 3 4 3 3 4 5 4 5 3 1 4 4 1 4 4 3 4 2 2 3 J 3 1 1 4 2 2 2 1 4 3 3 2 2 1 4 4 2 4 1 1 2 3 2 2 4 2 2 1 1 4 4 4 1 1 1 1 3 4 1 1 K 1 1 4 3 2 3 2 4 3 1 1 2 1 3 4 2 4 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2 L 1 3 1 3 3 4 1 3 2 1 3 3 3 1 3 4 2 4 1 3 3 3 3 3 3 2 3 3 1 3 3 3 3 1 3 3 1 2 2 3 M 4 1 4 2 4 3 3 4 2 1 4 2 4 4 1 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 G H I J K L M 4 4 4 4 4 3 5 4 3 4 4 3 3 5 5 5 5 5 4 3 4 4 4 5 5 5 5 1 4 5 5 3 4 4 5 3 4 3 2 3 4 3 4 4 3 5 4 3 1 3 3 5 4 3 5 4 4 5 4 5 3 3 2 5 3 2 1 1 1 3 4 3 5 3 4 4 3 2 5 3 4 4 5 3 2 2 4 4 4 5 2 1 4 4 3 3 1 1 1 1 1 1 1 4 4 4 3 3 1 2 1 1 3 3 3 2 1 4 3 4 1 1 1 2 1 1 4 2 1 1 2 1 1 1 1 2 4 2 4 1 4 2 2 1 1 1 2 1 1 2 3 1 1 1 1 2 2 2 1 2 3 1 3 3 3 1 3 3 3 3 3 1 4 2 2 3 3 3 3 2 3 3 3 3 3 3 3 3 1 1 4 3 1 1 1 2 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 2 1 1 1 2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 N O P Q R S T 14 BSTHELP 1 2 1 4 1 1 2 4 1 1 2 1 4 4 1 2 4 3 2 1 4 4 1 2 1 2 1 2 4 2 1 4 4 2 2 2 1 1 15 BSTHOURS 1 3 4 1 1 1 1 1 1 1 4 1 1 1 3 1 4 3 2 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 2 2 1 3 16 BSTCLEAN 1 1 1 1 1 1 1 1 4 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 3 1 1 1 1 1 1 17 BSTBARGN 1 3 1 4 2 3 3 3 1 1 3 3 1 2 3 4 3 3 2 2 4 2 1 2 4 1 1 1 3 4 2 3 1 2 2 2 1 1 18 IMPEXCH 6 7 7 6 7 3 4 7 7 7 5 5 7 7 7 1 2 7 7 1 3 6 5 5 5 1 7 7 4 5 5 3 7 5 1 6 7 6 19 IMPQUALI 7 7 7 7 7 7 6 7 5 7 7 6 7 7 7 4 7 7 7 1 4 6 6 6 7 1 7 6 7 7 7 7 7 7 1 7 7 6 20 IMPPRICE 7 7 7 7 7 7 7 7 5 7 7 6 7 7 7 4 7 7 7 1 5 6 7 1 7 1 7 7 7 7 7 7 7 7 7 7 7 7 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 N O P Q R S T 4 4 4 1 2 1 2 2 4 4 3 2 1 4 4 2 1 4 2 2 2 4 1 3 2 2 2 2 2 3 3 2 2 2 1 4 2 4 3 2 1 3 1 1 2 1 1 1 1 1 1 1 1 1 1 3 2 2 4 2 1 1 2 1 3 4 3 3 1 3 1 3 1 2 3 1 2 3 1 2 1 2 1 1 2 1 1 1 4 1 4 4 1 1 2 4 1 2 3 3 3 3 2 4 3 4 2 2 2 1 3 4 2 2 2 4 4 1 4 4 1 4 3 3 2 1 3 2 4 1 3 4 3 2 3 4 2 1 4 4 3 1 3 4 1 2 1 1 3 4 3 3 1 2 3 2 2 1 4 4 7 7 4 7 3 6 7 5 1 6 4 1 4 5 2 5 3 3 1 3 3 4 3 4 3 2 4 3 1 2 2 7 3 4 1 7 6 4 6 4 7 7 7 7 7 5 6 7 7 7 3 2 5 6 4 5 4 3 5 7 2 2 2 2 2 4 3 4 6 4 5 7 3 6 6 5 2 3 5 2 7 7 7 7 7 7 7 7 7 7 7 2 1 6 4 1 4 1 4 1 3 4 5 5 3 1 1 7 3 4 6 3 4 2 7 6 2 2 7 7 N 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 4 3 1 1 4 3 2 3 4 3 2 1 1 3 1 3 1 1 4 1 1 1 1 2 1 2 1 1 1 1 4 3 1 4 2 2 2 1 2 2 O 4 4 4 1 3 1 4 3 4 4 4 2 4 4 2 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 3 P 1 4 2 1 2 2 4 4 4 1 1 4 3 3 4 1 3 4 4 3 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Q 2 2 2 3 4 4 1 2 3 1 2 1 1 4 3 1 4 3 4 1 3 3 2 3 3 1 3 1 1 3 4 4 4 1 1 2 1 2 3 1 R 7 1 1 2 2 6 5 2 7 2 5 1 2 4 5 5 3 3 7 7 6 4 5 6 2 5 3 5 7 3 5 5 7 7 7 6 5 4 7 7 S 3 1 2 7 3 3 2 7 2 3 3 7 4 7 6 6 2 5 1 6 6 7 3 7 7 7 7 5 7 7 6 7 7 5 7 7 7 7 7 7 T 3 1 3 7 6 2 4 1 6 1 1 4 6 5 3 4 6 6 4 7 6 6 4 5 6 7 7 6 7 7 7 7 4 7 7 7 7 7 5 7 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 N O P Q R S T 1 1 2 1 1 1 1 4 4 1 4 1 4 2 1 1 3 3 3 1 1 1 1 1 1 1 1 2 4 1 3 2 1 1 1 4 1 1 3 4 4 1 3 4 1 1 3 1 1 3 3 1 1 3 2 1 1 1 1 3 1 1 1 3 1 1 2 1 1 1 1 4 1 1 1 1 4 1 1 1 1 1 3 1 1 1 1 1 1 1 1 2 4 1 1 2 3 1 1 2 3 1 1 1 3 2 3 1 1 2 2 3 1 3 3 2 3 3 2 3 1 1 2 3 1 1 3 3 7 7 4 7 7 6 7 7 1 1 7 7 5 6 7 7 6 2 7 3 7 2 7 6 7 7 5 7 7 3 3 7 7 7 7 6 7 7 7 7 4 1 5 7 3 7 7 7 6 6 6 5 6 7 7 7 7 7 7 7 7 4 7 7 7 6 6 7 3 7 7 7 5 7 7 7 4 7 7 5 7 7 7 6 7 7 7 7 7 4 7 7 7 5 7 4 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 U V W X Y Z AA 21 IMPVARIE 6 7 5 6 7 6 5 6 7 7 5 5 6 7 6 6 6 7 7 1 4 6 7 1 6 2 5 6 5 6 5 6 7 7 7 6 7 3 22 IMPHELP 5 7 4 6 7 5 3 7 6 7 5 5 4 7 4 2 4 4 5 1 6 5 2 6 6 3 5 6 5 4 5 7 7 6 6 6 7 5 23 IMPHOURS 6 7 5 5 7 6 6 7 7 7 4 6 4 7 6 3 3 4 6 1 4 7 5 1 5 2 4 6 7 2 4 6 7 5 7 3 7 5 24 IMPCLEAN 6 7 3 6 7 5 4 7 7 7 4 6 6 5 3 4 3 3 6 1 4 6 3 6 6 4 7 5 7 3 4 6 5 5 2 5 7 7 25 IMPBARGN 7 6 7 7 7 6 5 7 6 7 5 7 5 6 6 1 6 6 5 1 5 7 6 5 7 3 4 6 7 5 5 6 7 6 7 6 4 4 26 RESPGEND 2 2 1 2 2 2 2 2 1 2 2 2 2 2 1 1 2 2 2 2 1 1 2 1 2 1 1 1 1 2 1 2 2 2 2 1 2 1 27 RESPEDUC 3 3 3 3 3 3 1 3 4 4 3 1 3 3 3 3 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 U V W X Y Z AA 7 7 5 5 3 6 6 6 5 6 5 3 6 4 5 6 2 1 2 7 1 4 7 1 6 7 6 5 7 1 2 4 7 1 1 4 2 5 6 6 4 4 4 3 1 4 7 5 3 6 4 7 2 5 3 1 1 5 5 6 6 4 4 1 1 6 3 3 7 7 1 6 3 7 4 2 4 4 7 4 7 7 6 5 2 6 6 7 3 5 6 5 3 4 1 2 4 4 4 5 7 4 2 1 5 4 1 3 5 6 5 5 4 5 2 6 2 6 4 5 7 7 4 5 3 5 7 6 3 7 1 2 7 5 6 5 1 1 6 7 7 4 6 1 1 6 4 1 3 6 4 6 5 4 2 4 4 5 1 3 7 7 7 4 7 5 5 7 5 7 3 3 4 6 3 6 1 3 1 7 2 6 4 4 6 3 2 7 3 2 4 3 6 5 7 2 4 1 7 7 2 2 2 2 1 2 1 2 1 2 1 1 1 1 1 1 1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 4 2 2 4 4 3 3 4 4 2 2 2 1 1 3 4 1 1 1 1 4 4 1 1 3 1 3 3 4 1 2 1 4 1 2 4 4 2 1 3 U 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 3 3 2 5 4 7 1 3 5 1 5 5 1 6 2 3 1 1 6 7 7 7 3 7 7 6 6 5 5 6 4 6 4 5 7 6 7 4 7 4 V 7 2 5 7 1 2 1 3 3 2 3 4 2 4 3 7 3 5 4 7 6 6 1 6 5 4 2 3 6 7 4 7 7 6 7 6 7 3 6 1 W 4 1 3 6 4 1 2 7 2 4 4 5 3 2 1 7 2 4 3 7 6 6 1 6 3 6 5 4 6 5 7 5 6 6 7 6 5 6 7 7 X 5 2 4 6 2 1 2 2 4 1 5 1 2 1 2 4 7 7 1 6 6 7 1 6 6 5 5 5 7 6 6 5 7 6 7 6 5 4 7 2 Y 5 2 4 7 5 6 6 4 6 3 3 2 2 3 6 7 2 1 3 7 6 6 4 6 6 7 5 7 5 6 7 6 1 6 5 6 4 6 5 7 Z 1 2 2 2 1 1 1 1 2 1 2 1 1 2 1 2 1 2 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 1 2 1 1 1 AA 4 3 4 3 3 4 1 2 1 4 4 3 3 4 1 2 2 3 3 1 2 2 3 2 2 3 2 2 2 2 4 3 4 3 2 3 3 3 4 2 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 U V W X Y Z AA 7 5 7 7 7 6 7 7 3 6 7 7 4 5 6 6 5 5 5 3 5 6 5 6 6 7 5 1 7 5 7 5 6 7 5 7 7 4 7 7 5 6 7 7 5 7 5 6 5 4 6 3 4 1 5 6 7 7 5 1 7 4 6 7 7 6 7 6 7 6 6 7 5 3 4 6 7 1 7 6 6 3 6 7 5 4 5 6 7 7 6 1 6 4 7 6 7 7 6 5 7 4 7 7 3 6 7 6 7 4 7 6 4 5 5 7 4 1 5 3 7 7 5 7 6 6 2 4 4 7 6 6 5 7 7 7 5 4 6 6 4 5 7 6 4 6 7 6 6 2 7 5 6 4 7 7 5 5 7 3 2 2 2 1 1 2 2 2 1 1 2 1 2 2 2 2 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 2 4 2 3 4 4 4 1 4 4 4 2 4 3 3 4 2 3 3 2 3 3 3 3 3 2 4 2 4 4 2 3 2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 AB AC AD 28 RESPMARI 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 29 RESPHOUS 4 5 5 7 4 2 4 1 2 3 4 6 5 4 4 1 1 5 4 6 1 2 3 1 1 4 2 4 5 4 3 5 3 4 8 3 3 4 30 RESPAGE 21 21 18 20 19 19 19 20 44 29 20 17 19 20 21 20 23 18 20 17 24 21 19 18 20 19 21 19 21 20 19 21 19 19 18 28 41 37 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 AB AC AD 1 1 1 1 2 1 1 1 1 2 1 2 1 1 1 2 1 1 1 1 1 2 2 2 1 2 1 2 2 2 2 1 2 1 2 1 2 2 1 1 2 7 3 2 1 6 3 3 4 1 6 5 2 7 3 7 3 7 4 6 6 7 7 2 1 5 6 7 4 7 1 6 1 2 4 6 5 1 1 1 24 49 37 24 22 40 46 32 36 70 55 29 71 60 65 38 38 25 37 24 17 53 64 52 37 27 79 80 58 71 39 73 67 45 73 69 40 30 40 56 AB 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 1 2 1 2 1 2 2 2 1 1 2 1 2 1 2 1 1 1 2 1 1 2 2 1 2 1 2 2 1 2 1 2 2 2 1 2 1 2 1 2 AC 4 4 4 5 2 1 5 2 5 2 1 2 3 2 2 3 4 5 7 3 2 3 2 4 2 4 1 1 4 1 3 3 1 1 2 1 4 6 6 3 AD 67 31 78 37 69 36 36 28 18 29 68 72 78 31 39 32 50 59 34 35 24 31 26 27 18 29 66 20 27 22 25 19 21 65 66 24 32 20 59 27 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 AB AC AD 2 1 2 2 2 2 1 2 1 2 1 1 1 1 1 2 2 2 1 1 1 2 1 2 1 2 1 1 1 1 1 1 1 7 5 3 1 1 2 1 2 1 5 4 5 2 4 4 1 4 5 4 4 1 6 2 2 1 3 7 3 6 3 6 27 42 21 28 28 26 36 53 61 25 31 50 35 70 22 25 21 23 39 33 37 18 33 21 65 22 31 53 36 57 33 44 A 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 B C D E F 4 SPRSPEND 6 6 7 5 6 7 6 5 4 7 7 7 6 6 5 7 7 7 6 6 7 5 6 7 5 7 4 6 5 6 6 6 7 6 7 7 4 7 5 DOWSPEND 7 7 7 7 7 6 7 7 5 7 6 7 6 7 6 7 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 6 7 6 6 WESSPEND 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 5 7 A 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 B C D E F 5 6 5 6 7 5 6 6 6 6 1 3 6 1 3 5 5 2 3 4 7 1 5 7 7 3 1 7 4 5 3 4 6 7 4 3 6 2 6 2 7 6 7 6 5 5 6 7 6 7 2 5 1 5 2 5 6 3 7 3 5 4 1 5 4 4 5 4 7 3 7 2 5 3 2 5 1 6 1 3 5 7 3 3 7 6 7 4 6 7 2 6 2 4 4 7 2 7 1 3 4 5 5 7 4 7 2 5 1 6 3 3 3 4 1 5 1 4 7 1 A 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 B C D 3 5 5 1 7 1 1 3 6 4 3 4 6 1 2 7 6 7 6 7 4 5 4 7 5 3 4 6 5 7 7 7 5 7 7 7 6 6 7 4 E 3 7 2 6 2 3 1 2 5 1 3 5 6 4 3 2 3 1 2 7 6 6 7 6 5 7 5 6 7 7 7 7 6 7 6 6 7 7 7 5 F 3 1 7 6 1 1 6 5 2 6 1 1 4 1 1 2 5 3 1 7 5 5 6 5 5 4 6 6 6 7 7 5 5 7 7 7 7 7 7 7 A B C 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 D E F 4 6 5 6 6 4 5 5 7 4 5 6 7 7 6 5 4 6 7 7 7 4 5 6 7 5 7 7 6 7 4 7 150 5 7 5 6 7 6 7 5 7 4 5 7 7 7 6 7 7 7 7 7 6 6 4 7 7 5 7 7 6 6 5 6 150 5 7 7 7 7 7 6 6 7 6 5 7 7 7 7 5 6 6 5 7 7 6 4 6 6 7 7 7 6 7 4 5 150 154 155 How Much the Respondent Spends during a Trip to Each Area (Variables 4-6) 156 157 158 159 160 Description $200 or more Category 1 Contingency Table SPRSPEND DOWSPEND WESSPEND FD FD FD 8 7 13 A 161 162 163 164 165 166 B $150-under $200 $100-under $150 $ 50-under $100 $ 25-under $50 $ 15-under $25 less than $15 167 C D E F 2 3 4 5 6 7 Total 4 10 19 26 39 44 150 9 10 7 22 32 63 150 6 8 11 19 23 70 150 168 169 170 171 172 173 174 175 176 177 178 179 Description $200 or more $150-under $200 $100-under $150 $ 50-under $100 $ 25-under $50 $ 15-under $25 less than $15 Category 1 2 3 4 5 6 7 Total Joint Probability Table SPRSPEND DOWSPEND WESSPEND RFD RFD RFD 0.05333 0.04667 0.08667 0.02667 0.06000 0.04000 0.06667 0.06667 0.05333 0.12667 0.04667 0.07333 0.17333 0.14667 0.12667 0.26000 0.21333 0.15333 0.29333 0.42000 0.46667 1.00000 1.00000 1.00000 180 181 182 183 184 185 1. Based on the relative frequencies for responses to each variable, determine the probability that a randomly selected respondent from: a. [Variable 4] spends at least $15 during a trip to Springdale Mall. b. [Variable 5] spends at least $15 during a trip to Downtown. c. [Variable 6] spends at least $15 during a trip to West Mall. 186 187 188 Comparing the preceding probabilities, rank the areas from strongest to weakest in terms of the amount of money a shopper spends during a typical shopping visit G 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 H I J K G 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 H I J K G 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 H I J K G 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 4-6) h Area (Variables Table 156 157 158 159 160 Total 9.33 H I J K y Table G 161 162 163 164 165 166 167 H I J 6.33 9.33 12.33 22.33 31.33 59.00 150.00 168 169 170 171 172 173 174 175 176 177 178 179 Total 0.06222 0.04222 0.06222 0.08222 0.14889 0.20889 0.39333 1.00000 180 181 182 183 184 185 0.70667 0.58000 0.53333 186 187 rom strongest to weakest ing a typical 188 shopping visit Rank (from strongest=1 to weakest=3) 1 2 3 K A 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 B C D E F G 11 BSTQUALI 1 1 4 2 1 1 1 2 2 1 4 2 1 1 1 1 1 1 2 1 4 1 1 2 1 1 1 1 1 2 1 2 1 1 1 2 1 2 A 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 B C D E F G 1 2 1 1 2 1 2 1 2 1 1 4 4 1 4 3 3 4 4 4 2 4 4 3 2 2 4 3 4 1 4 4 3 2 3 3 3 4 4 2 A 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 B C D E F G 1 1 4 3 2 3 2 4 3 1 1 2 1 3 4 2 4 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2 A B C D E F G 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 Total 153 1 1 2 1 1 1 1 2 4 2 4 1 4 2 2 1 1 1 2 1 1 2 3 1 1 1 1 2 2 2 1 2 150 154 155 156 Which Shopping Area Best Fits Each Description (Variables 10-17) Variable 11, perception of high quality of goods at each mall. 157 158 159 160 Description Springdale Mall Contingency Table Category FD 1 73 A 161 162 163 164 B C D E Downtown Mall West Mall No Opinion F G 2 3 4 Total 38 15 24 150 165 166 167 168 169 170 171 172 Joint Probability Table Description Category RFD Springdale Mall 1 0.48667 Downtown 2 0.25333 West Mall 3 0.10000 No Opinion 4 0.16000 Total 1.00000 173 174 175 176 2. Based on the relative frequencies for responses to each variable, determine the probability that a randomly selected respondent from: 177 178 179 180 a. [Variable 11] feels that Springdale Mall has the highest-quality goods. b. [Variable 11] feels that Downtown has the highest-quality goods. c. [Variable 11] feels that West Mall has the highest-quality goods. 181 182 183 Comparing the preceding probabilities, rank the areas from strongest to weakest in terms of the quality of goods offered. 0.48667 0.25333 0.10000 H 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 I J K H 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 I J K H 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 I J K H 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 I J K H I J 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 Rank (from strongest=1 to weakest=3) 1 179 2 180 3 177 178 181 182 183 K A 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 B C D E 4 SPRSPEND 6 6 7 5 6 7 6 5 4 7 7 7 6 6 5 7 7 7 6 6 7 5 6 7 5 7 4 6 5 6 6 6 7 6 7 7 4 7 5 DOWSPEND 7 7 7 7 7 6 7 7 5 7 6 7 6 7 6 7 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 6 7 6 6 WESSPEND 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 5 7 26 RESPGEND 2 2 1 2 2 2 2 2 1 2 2 2 2 2 1 1 2 2 2 2 1 1 2 1 2 1 1 1 1 2 1 2 2 2 2 1 2 1 F A 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 B C D E 5 6 5 6 7 5 6 6 6 6 1 3 6 1 3 5 5 2 3 4 7 1 5 7 7 3 1 7 4 5 3 4 6 7 4 3 6 2 6 2 7 6 7 6 5 5 6 7 6 7 2 5 1 5 2 5 6 3 7 3 5 4 1 5 4 4 5 4 7 3 7 2 5 3 2 5 1 6 1 3 5 7 3 3 7 6 7 4 6 7 2 6 2 4 4 7 2 7 1 3 4 5 5 7 4 7 2 5 1 6 3 3 3 4 1 5 1 4 7 1 2 2 2 2 1 2 1 2 1 2 1 1 1 1 1 1 1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 F A 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 B 3 5 5 1 7 1 1 3 6 4 3 4 6 1 2 7 6 7 6 7 4 5 4 7 5 3 4 6 5 7 7 7 5 7 7 7 6 6 7 4 C 3 7 2 6 2 3 1 2 5 1 3 5 6 4 3 2 3 1 2 7 6 6 7 6 5 7 5 6 7 7 7 7 6 7 6 6 7 7 7 5 D 3 1 7 6 1 1 6 5 2 6 1 1 4 1 1 2 5 3 1 7 5 5 6 5 5 4 6 6 6 7 7 5 5 7 7 7 7 7 7 7 E 1 2 2 2 1 1 1 1 2 1 2 1 1 2 1 2 1 2 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 1 2 1 1 1 F A 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 Total B C D E 4 6 5 6 6 4 5 5 7 4 5 6 7 7 6 5 4 6 7 7 7 4 5 6 7 5 7 7 6 7 4 7 150 5 7 5 6 7 6 7 5 7 4 5 7 7 7 6 7 7 7 7 7 6 6 4 7 7 5 7 7 6 6 5 6 150 5 7 7 7 7 7 6 6 7 6 5 7 7 7 7 5 6 6 5 7 7 6 4 6 6 7 7 7 6 7 4 5 150 2 2 2 1 1 2 2 2 1 1 2 1 2 2 2 2 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 2 150 F 154 155 3. Set up a contingency table for the appropriate variables given, then determine the following probab 156 157 158 159 160 a. [Variables 4 and 26] Given that the random respondent is a female, what is the probability that she spends at least $15 during a trip to Springdale Mall? Is a male more likely or less likely than a female to spend at least $15 during a visit to this area? A B 161 162 163 164 165 166 167 168 169 Description $200 or more $150-under $200 $100-under $150 $ 50-under $100 $ 25-under $50 $ 15-under $25 less than $15 170 C D E Contingency Table for Springdale Category M F 1 4 4 2 2 2 3 8 2 4 7 12 5 6 20 6 12 27 7 25 19 Total 64 86 F Total 8 4 10 19 26 39 44 150 171 172 173 174 b. [Variables 5 and 26] Given that the random respondent is a female, what is the probability that she spends at least $15 during a trip to Downtown? Is a male more likely or less likely than a female to spend at least $15 during a visit to this area? 175 176 177 178 179 180 181 182 183 184 Description $200 or more $150-under $200 $100-under $150 $ 50-under $100 $ 25-under $50 $ 15-under $25 less than $15 185 Contingency Table for Downtown Category M F 1 3 4 2 5 4 3 6 4 4 3 4 5 11 11 6 13 19 7 23 40 Total 64 86 Total 7 9 10 7 22 32 63 150 186 187 188 189 c. [Variables 6 and 26] Given that the random respondent is a female, what is the probability that she spends at least $15 during a trip to West Mall? Is a male more likely or less likely than a female to spend at least $15 during a visit to this area? 190 191 192 193 194 195 196 197 198 199 200 Description $200 or more $150-under $200 $100-under $150 $ 50-under $100 $ 25-under $50 $ 15-under $25 less than $15 Contingency Table for West Mall Category M F 1 7 6 2 3 3 3 2 6 4 6 5 5 7 12 6 7 16 7 32 38 Total 64 86 Total 13 6 8 11 19 23 70 150 A B C D E F 201 202 203 204 205 206 Based on the preceding probabilities, rank the shopping areas where males and females are most likely to least likely, spend $15 or more during a shopping visit. G 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 H I J K L M G 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 H I J K L M G 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 H I J K L M G H I J K 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 given, then determine the following probabilities: 156 157 158 ng a trip to Springdale Mall? d at least $15159 during a visit to this area? 160 0.77907 0.60938 P(15|F) = P(15F) / P(F) P(15|M) = P(15F) / P(M) L M G H 161 162 163 164 165 166 167 168 169 Description $200 or more $150-under $200 $100-under $150 $ 50-under $100 $ 25-under $50 $ 15-under $25 less than $15 170 I J K L Joint Probability Table for Springdale Category M F Total 1 0.02667 0.02667 0.05333 2 0.01333 0.01333 0.02667 3 0.05333 0.01333 0.06667 4 0.04667 0.08000 0.12667 5 0.04000 0.13333 0.17333 6 0.08000 0.18000 0.26000 7 0.16667 0.12667 0.29333 Total 0.42667 0.57333 1.00000 171 172 173 ng a trip to Downtown? d at least $15174 during a visit to this area? 0.53488 0.64063 P(15|F) = P(15F) / P(F) P(15|M) = P(15F) / P(M) 175 176 177 178 179 180 181 182 183 184 Description $200 or more $150-under $200 $100-under $150 $ 50-under $100 $ 25-under $50 $ 15-under $25 less than $15 185 Joint Probability Table for Downtown Category M F Total 1 0.02000 0.02667 0.04667 2 0.03333 0.02667 0.06000 3 0.04000 0.02667 0.06667 4 0.02000 0.02667 0.04667 5 0.07333 0.07333 0.14667 6 0.08667 0.12667 0.21333 7 0.15333 0.26667 0.42000 Total 0.42667 0.57333 1.00000 186 187 188 Mall? ng a trip to West d at least $15189 during a visit to this area? 0.55814 0.50000 P(15|F) = P(15F) / P(F) P(15|M) = P(15F) / P(M) 190 191 192 193 194 195 196 197 198 199 200 Description $200 or more $150-under $200 $100-under $150 $ 50-under $100 $ 25-under $50 $ 15-under $25 less than $15 Joint Probability Table for West Mall Category M F Total 1 0.04667 0.04000 0.08667 2 0.02000 0.02000 0.04000 3 0.01333 0.04000 0.05333 4 0.04000 0.03333 0.07333 5 0.04667 0.08000 0.12667 6 0.04667 0.10667 0.15333 7 0.21333 0.25333 0.46667 Total 0.42667 0.57333 1.00000 M G H I J K L M 201 202 g areas where203 males and 204 e during a shopping visit. 205 206 Rank per Gender (from most likely to least likely to spend $15 or more during a s Area Male Area Female Downtown 0.64063 Springdale 0.77907 Springdale 0.60938 West Mall 0.55814 West Mall 0.50000 Downtown 0.53488 N 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 O P N 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 O P N 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 O P N 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 O P N 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 O P N O P 201 spend $15 or202 more during a shopping visit) 203 204 205 206