3. James Short (1708–1768), a Scottish optician, constructed the highest-quality reflectors of his time. It was with these reflectors that Short obtained the following measurements of the parallax of the sun (in seconds of a degree), based on the 1761 transit of Venus. The parallax of the sun is the angle a subtended by the Earth, as see from the surface of the sun. Sample Size: n = 53. Mean: ix 8.61. Standard Deviation: s 0.75. 8.50 8.50 7.33 8.64 8.06 8.43 8.44 8.14 8.65 8.35 8.71 8.31 9.71 8.50 8.28 9.87 8.80 8.40 8.82 9.02 10.57 7.99 8.58 8.34 9.64 9.27 9.06 9.25 9.09 8.50 7.68 10.34 8.07 8.36 9.71. 8.36 8.86 8.58 7.80 771 8.30 5.76 8.44 9.11 8.66 8.55 9.54 9.07 8.23 8.50 8.34 8.60 8.34 Source: The data and descriptive information are based on material from Stephen M. Stigler. (1977). Do robust estimators work with real data? Annals of Statistics, 5, 1055-1098. (a) Estimate the 95% upper confidence bound. Be sure to justify your solution both graph- ically and analytically.

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can you answer question #4? B-C?

Page <
4
> of 6
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(b) The true value of sun's parallax, based on today's best measurement, is about 8.798 sec-
onds of a degree. Does it suggest Short's measurements are too low? Set up the appropriate
hypotheses.
Но :
На:
(c) Test your hypotheses with the significance level of a = 0.05. Be sure to justify your
solution both graphically and analytically.
Transcribed Image Text:Page < 4 > of 6 ZOOM + (b) The true value of sun's parallax, based on today's best measurement, is about 8.798 sec- onds of a degree. Does it suggest Short's measurements are too low? Set up the appropriate hypotheses. Но : На: (c) Test your hypotheses with the significance level of a = 0.05. Be sure to justify your solution both graphically and analytically.
Page <
> of 6
ZOOM +
3. James Short (1708–1768), a Scottish optician, constructed the highest-quality reflectors
of his time. It was with these reflectors that Short obtained the following measurements of
the parallax of the sun (in seconds of a degree), based on the 1761 transit of Venus. The
parallax of the sun is the angle a subtended by the Earth, as see from the surface of the sun.
Sample Size: n = 53.
Mean: īz 8.61.
Standard Deviation: s 0.75.
8.50 8.50 7.33 8.64
8.06 8.43
8.65 8.35 8.71 8.31
9.71 8.50 8.28 9.87
8.80 8.40
7.99 8.58
9.27
7.68
8.36
8.86
10.57
8.34
9.06 9.25 9.09
10.34 8.07 8.36
8.58 7.80 7.71 8.30
5.76 8.44 8.23 8.50
9.11 8.66 8.34
8.55 9.54 9.07.
8.50
9.71.
8.44
8.14
8.82 9.02
8.34
9.64
8.60
Source: The data and descriptive information are based on material from
Stephen M. Stigler. (1977). Do robust estimators work with real data?
Annals of Statistics, 5, 1055–1098.
(a) Estimate the 95% upper confidence bound. Be sure to justify your solution both graph-
ically and analytically.
Transcribed Image Text:Page < > of 6 ZOOM + 3. James Short (1708–1768), a Scottish optician, constructed the highest-quality reflectors of his time. It was with these reflectors that Short obtained the following measurements of the parallax of the sun (in seconds of a degree), based on the 1761 transit of Venus. The parallax of the sun is the angle a subtended by the Earth, as see from the surface of the sun. Sample Size: n = 53. Mean: īz 8.61. Standard Deviation: s 0.75. 8.50 8.50 7.33 8.64 8.06 8.43 8.65 8.35 8.71 8.31 9.71 8.50 8.28 9.87 8.80 8.40 7.99 8.58 9.27 7.68 8.36 8.86 10.57 8.34 9.06 9.25 9.09 10.34 8.07 8.36 8.58 7.80 7.71 8.30 5.76 8.44 8.23 8.50 9.11 8.66 8.34 8.55 9.54 9.07. 8.50 9.71. 8.44 8.14 8.82 9.02 8.34 9.64 8.60 Source: The data and descriptive information are based on material from Stephen M. Stigler. (1977). Do robust estimators work with real data? Annals of Statistics, 5, 1055–1098. (a) Estimate the 95% upper confidence bound. Be sure to justify your solution both graph- ically and analytically.
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