A researcher wanted to investigate whether perception of intelligence is influenced by a person’s facial expression and/ or gender. Some photos were of males; others were of females, and within each of those groups, some were smiling whereas others had neutral facial expressions. All 12 participants were shown the same photo set. This means each participant judged every condition – male smiling; male neutral; female smiling; female neutral. Data are the average perceived intelligence scores for each condition per participant: Smiling picturesNeutral pictures Male photosFemale photosMale photosFemale photosParticipant A8.78.28.59.0Participant B9.18.09.08.5Participant C8.39.08.38.4Participant D9.58.89.49.2Participant E9.08.28.98.8Participant F7.77.07.87.5Participant G8.68.88.58.0Participant H8.57.38.47.7Participant I9.16.59.26.5Participant J9.28.09.18.1Participant K8.28.18.18.3Participant L8.07.57.97.9 1. How many factors are in this scenario? For each clearly labeled factor, state how many levels it has and list them. Also label each factor as “BS” or “WS”

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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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A researcher wanted to investigate whether perception of intelligence is influenced by a person’s facial expression and/ or gender. Some photos were of males; others were of females, and within each of those groups, some were smiling whereas others had neutral facial expressions. All 12 participants were shown the same photo set. This means each participant judged every condition – male smiling; male neutral; female smiling; female neutral. Data are the average perceived intelligence scores for each condition per participant:

	Smiling pictures	Neutral pictures
	Male photos	Female photos	Male photos	Female photos
Participant A	8.7	8.2	8.5	9.0
Participant B	9.1	8.0	9.0	8.5
Participant C	8.3	9.0	8.3	8.4
Participant D	9.5	8.8	9.4	9.2
Participant E	9.0	8.2	8.9	8.8
Participant F	7.7	7.0	7.8	7.5
Participant G	8.6	8.8	8.5	8.0
Participant H	8.5	7.3	8.4	7.7
Participant I	9.1	6.5	9.2	6.5
Participant J	9.2	8.0	9.1	8.1
Participant K	8.2	8.1	8.1	8.3
Participant L	8.0	7.5	7.9	7.9

1. How many factors are in this scenario? For each clearly labeled factor, state how many levels it has and list them. Also label each factor as “BS” or “WS”

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