1.42 She Sounds Tall! 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 Wash- ington University listened to 100 pairs of speakers and, within each pair, were asked to indicate which of the two speakers was the taller. Here are the number correct (our of 100) for each of the 24 participants:³2 L 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 Researchers believe that the key to correct discrimination is contained in a particular type of sound produced in the lungs, whose frequency is lower for taller people. (a) Make two stemplots, with and without splitting the stems. Which plot do you prefer, and why? (b) Describe the shape, center, and variability of the distribution. Are there any outliers? (c) If the experimental subjects are just guessing which speaker is taller, they should correctly identify the taller person about 50% of the time. Does this data support the researchers' conjecture that there is in- formation in a person's voice to help identify the taller person? Why or why not?

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1.42
1.43
(c) Explain why it is not appropriate to use a pie chart to
display any of these distributions.
She Sounds Tall! 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 Wash-
ington University listened to 100 pairs of speakers and,
within each pair, were asked to indicate which of the two
speakers was the taller. Here are the number correct (out
of 100) for each of the 24 participants:32 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
Researchers believe that the key to correct discrimination
is contained in a particular type of sound produced in
the lungs, whose frequency is lower for taller people.
(a) Make two stemplots, with and without splitting the
stems. Which plot do you prefer, and why?
(b) Describe the shape, center, and variability of the
distribution. Are there any outliers?
(c) If the experimental subjects are just guessing which
speaker is taller, they should correctly identify the
taller person about 50% of the time. Does this data
support the researchers' conjecture that there is in-
formation in a person's voice to help identify the
taller person? Why or why not?
Watch Those Scales! Figures 1.21(a) and 1.21(b) both
show time plots of tuition charged to in-state students
Transcribed Image Text:1.42 1.43 (c) Explain why it is not appropriate to use a pie chart to display any of these distributions. She Sounds Tall! 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 Wash- ington University listened to 100 pairs of speakers and, within each pair, were asked to indicate which of the two speakers was the taller. Here are the number correct (out of 100) for each of the 24 participants:32 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 Researchers believe that the key to correct discrimination is contained in a particular type of sound produced in the lungs, whose frequency is lower for taller people. (a) Make two stemplots, with and without splitting the stems. Which plot do you prefer, and why? (b) Describe the shape, center, and variability of the distribution. Are there any outliers? (c) If the experimental subjects are just guessing which speaker is taller, they should correctly identify the taller person about 50% of the time. Does this data support the researchers' conjecture that there is in- formation in a person's voice to help identify the taller person? Why or why not? Watch Those Scales! Figures 1.21(a) and 1.21(b) both show time plots of tuition charged to in-state students
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