In: Statistics and Probability
Heights of singers in the NY Choral Society in 1979 are reported to the nearest inch. Voice parts in order from highest pitch to lowest pitch are Soprano, Alto, Tenor, and Bass. The first two are female voices and the last two are male voices. Is the height of a singer related to his/her pitch? Justify any assumption you are making. (You need to write a report about one page long for each problem detailing your hypotheses, assumptions, statistics and conclusions, etc. Justify every assumption and step you are taking.)
Data given below:
Soprano | Alto | Tenor | Bass |
(in.) | (in.) | (in.) | (in.) |
64 | 65 | 69 | 72 |
62 | 62 | 72 | 70 |
66 | 68 | 71 | 72 |
65 | 67 | 66 | 69 |
60 | 67 | 76 | 73 |
61 | 63 | 74 | 71 |
65 | 67 | 71 | 72 |
66 | 66 | 66 | 68 |
65 | 63 | 68 | 68 |
63 | 72 | 67 | 71 |
67 | 62 | 70 | 66 |
65 | 61 | 65 | 68 |
62 | 66 | 72 | 71 |
65 | 64 | 70 | 73 |
68 | 60 | 68 | 73 |
65 | 61 | 73 | 70 |
63 | 66 | 66 | 68 |
65 | 66 | 68 | 70 |
62 | 66 | 67 | 75 |
65 | 62 | 64 | 68 |
66 | 70 | 71 | |
62 | 65 | 70 | |
65 | 64 | 74 | |
63 | 63 | 70 | |
65 | 65 | 75 | |
66 | 69 | 75 | |
65 | 61 | 69 | |
62 | 66 | 72 | |
65 | 65 | 71 | |
66 | 61 | 70 | |
65 | 63 | 71 | |
61 | 64 | 68 | |
65 | 67 | 70 | |
66 | 66 | 75 | |
65 | 68 | 72 | |
62 | 66 | ||
72 | |||
70 | |||
69 |