A scientist measured the speed of light. His values are in km/sec and have 299,000 subtracted from them. He reported the results of 28 trials with a mean of 756.22 and a standard deviation of 103.24. a) Find a 95% confidence interval for the true speed of light from these statistics. b) State in words what this interval means. Keep in mind that the speed of light is a physical constant that, as far as we know, has a value that is true throughout the universe. c) What assumptions must you make in order to use your method? a) A 95% confidence interval for the true speed of light is ( km/sec, km/sec) . (Round to two decimal places as needed.) b) In words, what does the 95% confidence interval mean? . Any measurement of the speed of light will fall within this interval 95% of the time. . The confidence interval contains the true speed of light 95% of the time. A _) B. With 95% confidence, based on these data, the speed of light is between the lower and upper bounds of the confidence interval. C D. For all samples, 95% of them will have a mean speed of light that falls within the confidence interval. c) What assumptions must you make in order to use your method? Select all that apply. The data come from a distribution that is nearly normal. The sample is drawn from a large population. The measurements arise from a random sample or suitably randomized experiment. O 0w The data come from a distribution that is nearly uniform