Age-related Macular Degeneration (AMD) is a common eye condition leading to vision loss. It causes damage to the macula, a small spot near the center of the retina (the part of the eye needed for sharp, central vision). Researchers are interested in the experiences of people who have been diagnosed with early-onset AMD. In particular the researchers are interested in whether the mean age at diagnosis of all people with early-onset AMD is less than 55 years. A random sample of 20 people with early-onset AMD gave the following data on age at diagnosis, in years. Patient Age at diagnosis Patient 1 2 3 4 5 6 7 8 9 10 50|58||52||58|| 49|58|51|61||54|59| 11 12 13 14 15 16 17 18 19 20 Age at diagnosis 53| 44 46 47| 42| 56 57| 49| 41| 43 | (e) Discuss why or why not an approximate normal test is appropriate here. (f) Perform an approximate normal test on the data at the 5% level. (g) Stating appropriate hypotheses perform the Student-t test and make a conclusion at the 5% level of significance.
Age-related Macular Degeneration (AMD) is a common eye condition leading to vision loss. It causes damage to the macula, a small spot near the center of the retina (the part of the eye needed for sharp, central vision). Researchers are interested in the experiences of people who have been diagnosed with early-onset AMD. In particular the researchers are interested in whether the mean age at diagnosis of all people with early-onset AMD is less than 55 years. A random sample of 20 people with early-onset AMD gave the following data on age at diagnosis, in years. Patient Age at diagnosis Patient 1 2 3 4 5 6 7 8 9 10 50|58||52||58|| 49|58|51|61||54|59| 11 12 13 14 15 16 17 18 19 20 Age at diagnosis 53| 44 46 47| 42| 56 57| 49| 41| 43 | (e) Discuss why or why not an approximate normal test is appropriate here. (f) Perform an approximate normal test on the data at the 5% level. (g) Stating appropriate hypotheses perform the Student-t test and make a conclusion at the 5% level of significance.
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Transcribed Image Text:Age-related Macular Degeneration (AMD) is a common eye condition leading to vision
loss. It causes damage to the macula, a small spot near the center of the retina (the part
of the eye needed for sharp, central vision). Researchers are interested in the experiences
of people who have been diagnosed with early-onset AMD. In particular the researchers
are interested in whether the mean age at diagnosis of all people with early-onset AMD
is less than 55 years. A random sample of 20 people with early-onset AMD gave the
following data on age at diagnosis, in years.
Patient
1
Age at diagnosis 50
Patient
11
2 3 4 5 6 7 8 9 10
58 52 58 49 58 51 61 54 59
12 13 14 15 16 17 18 19 20
Age at diagnosis 53 44 46 47 42 56 57 49 41 43
(e) Discuss why or why not an approximate normal test is appropriate here.
(f) Perform an approximate normal test on the data at the 5% level.
(g) Stating appropriate hypotheses perform the Student-t test and make a conclusion
at the 5% level of significance.
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