d The empirical rule in statistics states that if the data in the population is approximatel normall dis- Y Y tributed, then approximately 95% of the values in a population should fall within the interval pzlz20 (where a and or are the population average and population standard deviation respectively). (i) If the body masses of the Adelie penguins are approximately normally distributed, then how many of the 151 values would you expect to fall within the interval a :l: 20'? Explain how you arrived at your answer. (ii) Use Excel to calculate how many of the 151 body masses in the data set fall within the interval pd: 20'? Explain how you arrived at your answer. NOTE: there are several ways to do this. If you are not sure how then try searching the Internet. (iii) What percentage of the 151 body masses fall within the interval p :l: 20 (round to 2 decimal places)? (iv) Do you think there is evidence to suggest that the body masses of the Adelie penguins are approximately normally distributed? Explain