The speed of light is measured 25 times by a new procedure. The 25 measurements are recorded, and show no trend or pattern. The investigators work out the average and SD of the 25 measurements; the average is 299,789.2 kilometers per second and the SD is 12 kilometers per second. (Assume the Gauss model, with no bias.) It is assumed that all units are kilometers per second. Find an approximate 95%-confidence interval for the speed of light. Enter numeric answers for the lower and upper endpoints of the interval here; be sure to show your work. (a) The 95% confidence interval for the speed of light is to . (b) Now the investigators measure the speed of light a 26th time by the same procedure, and get 299,781 kilometers per second. Is this a surprising result