Presented with recordings of a pair of people of the same sex speaking the same phrase, can a listener determine which speaker is taller simply from the sound of their voice? Twenty four young adults at Washington University listened to 100 pairs of speakers, and within each pair of speakers were asked to indicate which of the two speaker was the taller. Here are the number correct (out of 100) for each of the 24 participants: HEARING
65 61 67 59 58 62 56 67 61 67 63 53
68 49 66 58 69 70 65 56 68 56 58 70 Make two stemplots, with and without splitting the stems. Why plot do you prefer and why?
Describe the shape, center, and variability of the distribution.
Does it look like voices contain clues about who is taller, or do you think the participants are just guessing?