Simon Newcomb of the Nautical Almanac Office (NAO), U

Simon Newcomb of the Nautical Almanac Office (NAO), U.S., published the veloc- ity of light [Newcomb, 1883]4 based on a series of experiments he conducted with Albert Michelson until 1882. The dataset ‘NewcombLight.txt’ contains 66 sam- ples (time in seconds taken for light to travel 7442 meters at sea level) Newcomb collected in 1882. Conduct the t-test and the bootstrap based one-sample tests and provide the population mean of light velocity (in m/s) with your choice of a confidence level. Do the estimates include the widely known speed of light as in HERE5? Do the estimates from the t-test and the bootstrap show any systematic difference? If so, provide possible reasons based on the sampling distributions used by the two approaches.