a) If each group includes 100 shoppers, which group spent the most money in total? A. The group that was exposed to only music spent the most money in total. OB. The group that was exposed to only scent spent the most money in total. OC. The group that was exposed to both scent and music spent the most money in total. OD. The group that was exposed to neither scent nor music spent the most money in total. b) If medians summarized each group's spending rather than means, would you be able to identify the group with the largest spending? YA. No, the total amount cannot be recovered from the median value. OB. Yes, the total amount can be recovered from the median value. c) Is it certain that every shopper who was exposed to scent and music spent less than every shopper who was only exposed to music? OA. No, the mean is the value that falls in the middle when the observations of a numerical variable are sorted. This is not indicative of whether or not every shopper who was exposed to scent and music spent less than every shopper who was only exposed to music. OB. Yes, since the mean spending for every shopper who was exposed to scent and music is less than the mean spending of every shopper who was only exposed to music, every shopper exposed to both scent and music spent less. O C. No, there is variation in data which means that the groups may overlap. O D. Shoppers exposed to scent and music spent more than those who were only exposed to music.

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In a study of how the environment affects spending, researchers varied the presence of
music and scents in a shopping mall. Interviews with shoppers who made unplanned
purchases revealed the average purchase amounts shown to the right. Each group has
100 shoppers. Complete parts (a) through (c) below.
(a) If each group includes 100 shoppers, which group spent the most money in total?
Condition
None
Scent
Music
Scent and music
A. The group that was exposed to only music spent the most money in total.
B. The group that was exposed to only scent spent the most money in total.
C. The group that was exposed to both scent and music spent the most money in total.
D. The group that was exposed to neither scent nor music spent the most money in total.
(b) If medians summarized each group's spending rather than means, would you be able to identify the group with the largest spending?
A. No, the total amount cannot be recovered from the median value.
B. Yes, the total amount can be recovered from the median value.
Mean Spending ($)
73.07
51.65
98.31
31.63
(c) Is it certain that every shopper who was exposed to scent and music spent less than every shopper who was only exposed to music?
O A.
No, the mean is the value that falls in the middle when the observations of a numerical variable are sorted. This is not indicative of whether or not every
shopper who was exposed to scent and music spent less than every shopper who was only exposed to music.
B. Yes, since the mean spending for every shopper who was exposed to scent and music is less than the mean spending of every shopper who was only
exposed to music, every shopper exposed to both scent and music spent less.
C.
No, there is variation in data which means that the groups may overlap.
O D. Shoppers exposed to scent and music spent more than those who were only exposed to music.
Transcribed Image Text:In a study of how the environment affects spending, researchers varied the presence of music and scents in a shopping mall. Interviews with shoppers who made unplanned purchases revealed the average purchase amounts shown to the right. Each group has 100 shoppers. Complete parts (a) through (c) below. (a) If each group includes 100 shoppers, which group spent the most money in total? Condition None Scent Music Scent and music A. The group that was exposed to only music spent the most money in total. B. The group that was exposed to only scent spent the most money in total. C. The group that was exposed to both scent and music spent the most money in total. D. The group that was exposed to neither scent nor music spent the most money in total. (b) If medians summarized each group's spending rather than means, would you be able to identify the group with the largest spending? A. No, the total amount cannot be recovered from the median value. B. Yes, the total amount can be recovered from the median value. Mean Spending ($) 73.07 51.65 98.31 31.63 (c) Is it certain that every shopper who was exposed to scent and music spent less than every shopper who was only exposed to music? O A. No, the mean is the value that falls in the middle when the observations of a numerical variable are sorted. This is not indicative of whether or not every shopper who was exposed to scent and music spent less than every shopper who was only exposed to music. B. Yes, since the mean spending for every shopper who was exposed to scent and music is less than the mean spending of every shopper who was only exposed to music, every shopper exposed to both scent and music spent less. C. No, there is variation in data which means that the groups may overlap. O D. Shoppers exposed to scent and music spent more than those who were only exposed to music.
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