Lydia collected samples to see how many cars passed by her house in a period of 5 minutesThis is the data that she collected 17, 8, 17, 21, 16, 15, 13, 10, 18, 17, 23, 17, 18, 10, 18, 13, 16, 21, 17, 16 The normal model that Lydia calculated for this model is N(16.05, 3.78) ThenLydia used the Empirical Rule to check whether this data fits the Empirical Rule She checked the number of data that to the left of the point which is 19.83 What is the correct conclusion?
Based on Lydia's calculations, the data collected does not fit the Empirical Rule. The Empirical Rule states that approximately 68% of data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. In this case, Lydia calculated a mean of 16.05 and a standard deviation of 3.78. Since the data point 19.83 is more than one standard deviation away from the mean, it falls outside the range that would be expected if the data followed the Empirical Rule.
