Question 15 (1 point) Yearly rainfall amounts (in millimeters) in Sydney, Australia, are listed in following table ("Annual maximums of," 2013). Table: Yearly Rainfall Amounts in Sydney, Australia 146.8 383 90.9 178.1 267.5 95.5 156.5 180 90.9 139.7 200.2 171.7 187.2 184.9 70.1 58 84.1 55.6 133.1 271.8 135.9 71.9 99.4 110.6 47.5 97.8 122.7 58.4 154.4 173.7 118.8 88 84.6 171.5 254.3 185.9 137.2 138.9 96.2 85 45.2 74.7 264.9 113.8 133.4 68.1 156.4 a. Find the mean of the data sample (give answer to nearest hundredth; do not enter units) b. Find the sample standard deviation of the data sample (give answer to nearest hundredth; do not enter units) c. Use Chebyshev's theorem to find an interval centered about the mean yearly rainfall amounts in Sydney, Australia, in which you would expect at least 75% of the amounts to fall. Enter lower bound value to nearest hundredth, then comma, then upper bound value to nearest hundredth. If a value is negative, enter hyphen in front of value. Do not enter spaces or units as part of your answer. Examples of correctly entered answers: -23.45,77.65 -0.32,109,40 -117.42,-0.98d. Use Chebyshev's theorem to find an interval centered about the mean yearly rainfall amounts in Sydney, Australia, in which you would expect at least 88.9% of the amounts to fall. Enter lower bound value to nearest hundredth, then comma, then upper bound value to nearest hundredth. If a value is negative, enter hyphen in front of value. Do not enter spaces or units as part of your answer. Examples of correctly entered answers: -23.45,77.65 -0.32,109,40 -117.42,-0.98