Let's explore the other tenets of the Empirical Rule in this Heights dataset. **Round inches to three decimal places and percentages to one decimal place* * According to the Empirical Rule, 95% of the data is within 2 standard deviations of the mean. So, according to the normal model, 95% of all the heights should be between inches and inches. Now, according the actual data in the spreadsheet, how many heights are on this interval? There are 212 heights in this dataset. What percentage of them are within 2 standard deviations of the mean? According to the Empirical Rule, 99.7% of the data is within 3 standard deviations of the mean. According to the normal model, 99.7% of all the heights should be between inches and inches. Now, according the actual data in the spreadsheet, how many heights are on this interval? There are 212 heights in this dataset. What percentage of them are within 3 standard deviations of the mean? Given our exploration of this dataset against a normal model, how well do you think the normal model fits this dataset? Explain.66.583 mean 4.292 st dev Heights of Math 243 students Fall 2020 and Winter 2021 60 40 Frequency 20 0 40 42.5 45 47.5 50 52.5 55 57.5 60 62.5 65 67.5 70 725 75 77.5 80 82.5 85 87.5 90 Height in inches