Determine the standard deviationDetermine the degree of freedom valueDetermine t score corresponding to to desired confidence level Determine the error bound to the meanDetermine the confidence level

In 1882, Albert Michelson collected measurements on the speed of light ("Student t- distribution," 2013). His measurements are given in following table: Table: Speed of Light Measurements (km/sec) 299883 299816 299778 299796 299682 299711 299611 299599 300051 299781 299578 299796 299774 299820 299772 299696 299573 299748 299748 299797 299851 299809 299723 Find the speed of light value that Michelson estimated from his data using a 95% confidence interval by answering the following questions: (i) Determine sample mean x