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 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:

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 lower airways or the lungs, known as subglottal resonances, whose frequency is lower for taller people. Despite the masking of these resonances by other voice sounds, researchers wondered whether the information they contained could still be heard by listeners and used to identify the taller person.(a) Describe the distribution of the number of correct guesses (shape, center, spread).

(2 points)

(b) Does the data support the researchers' conjecture that there is information in a person's voice to help identify the taller person? Explain your reasoning. (1 point) (c) Give the 5-number summary for the number of correct guesses - Use the median technique for finding Q1 and Q3 easily. (Q1, Q2, Q3, each 1 point, Min and Max each 0.5 points)

(d) Draw a boxplot of the data. (Whiskers, each 1 point, box: 1 point) (e) Are there any outliers? (1 point)