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El 7 of 8 ID: MST.SD.DSM.07.0010 [2 points] A drug made by a pharmaceutical company comes in tablet form. Each tablet is branded as containing 90 mg of the particular active chemical. However, variation in manufacturing results in the actual amount of the active chemical in each tablet following a normal distribution with mean 90 mg and standard deviation 1.716 mg. 3) Calculate the percentage of tablets that will contain less than 89 mg of the active chemical. Give your answer as a percentage to 2 decimal places. Percentage = % b) Suppose samples of 14 randomly selected tablets are taken and the amount of active chemical measured. Calculate the percentage of samples that will have a sample mean of less than 89 mg of the active chemical. Give your answer as a percentage to 2 decimal places. Percentage = % El 8 of 8 ID: MST.SD.DSM.05.0010 [2 points] The life span at birth of humans has a mean of 87.82 years and a standard deviation of 19.67 years. Calculate the upper and lower bounds of an interval containing 95% of the sample mean life spans at birth based on samples of 140 people. Give your answers to 2 decimal places. a) Upper bound = years b) Lower bound = years