Velocity of light from galaxies. Refer to The Astronomical Journal (July 1995) study of th...

Velocity of light from galaxies. Refer to The Astronomical Journal (July 1995) study of the velocity of light emitted from a galaxy in the universe, presented in Exercise 2.100 (p. 74). A sample of 103 galaxies located in the galaxy cluster A2142 had a mean velocity of ,117 kilometers per second (km/s) and a standard deviation of s = 1,280 km/s. Suppose your goal is to make an inference about the population mean hght velocity of galaxies in cluster A2142.

a. In part b of Exercise 2.100, you constructed an interval that captured approximately 95% of the galaxy velocities in the cluster. Explain why that interval is inappropriate for the inference you are asked to make here.

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b. Construct a 95% confidence interval for the mean light velocity emitted from all galaxies in cluster A2142. Interpret the result.

Exercise 2.100