# Question

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 seen from the surface of the sun. (See accompanying diagram.)

a. Determine whether an assumption of normality is reasonable. Explain.

b. Construct a 95% confidence interval for the estimate of the mean parallax of the sun.

c. If the true value is 8.798 seconds of a degree, what does the confidence interval suggest about Short’s measurements?

a. Determine whether an assumption of normality is reasonable. Explain.

b. Construct a 95% confidence interval for the estimate of the mean parallax of the sun.

c. If the true value is 8.798 seconds of a degree, what does the confidence interval suggest about Short’s measurements?

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