Stephen Stigler determined in 1977 that the speed of light is 299,710.5 km/sec. In 1882, Albert Michelson had collected measurements on the speed of light. His measurements are given in data to the right. Is there evidence to show that Michelson's data is different from Stigler's value of the speed of light? Test at the 5% level. Step 1 Identify variable and parameter with variable and words Speed of Light Measurements in km/sec 299983 299816 299778 Individual: Sample: Population: Variable x Statistic Parameter Units 299796 KM/SEC 299682 299711 299611 299599 300051 Step 2 Identify Null Hypothesis, Alternative Hypothesis, (words and algebraically) and Level of Significance 299781 299578 299796 Ho H: 299774 299820 299772 Step 3 Check for normality 299696 Speed of Light Measurements in km/sec 299573 Is sample taken randomly? Normality Met? Step 4 N = Confident? 299748 Mean 299760.6 299748 Standard E 23.82992 299797 Find sample statistic, test statistic and pvalue, Draw a picture. Median 299774 299851 sample statistic = SE = Mode 299796 299809 Test Statistic = Standard D 114.2843 299723 P Value= dec di Tail = % Sample Var 13060.89 Kurtosis 1.185437 Skewness 0.524079 Range Minimum Maximum Sum 478 299573 300051 6894493 Count 23 Con