1. The problem asks us to use the Empirical Rule to find the percentage of population values between 141 and 149, and then to find the range that contains approximately 95% of the population. 2. The Empirical Rule states: - About 68% of data lies within 1 standard deviation ($\sigma$) of the mean ($\mu$). - About 95% of data lies within 2 standard deviations of the mean. 3. From part (a), we know 68% of the data lies between 141 and 149. This means 141 and 149 are 1 standard deviation below and above the mean respectively. 4. Calculate the mean and standard deviation: $$\mu = \frac{141 + 149}{2} = \frac{290}{2} = 145$$ $$\sigma = 149 - 145 = 4$$ 5. For part (b), 95% of the data lies within 2 standard deviations of the mean: $$\text{Lower bound} = \mu - 2\sigma = 145 - 2 \times 4 = 145 - 8 = 137$$ $$\text{Upper bound} = \mu + 2\sigma = 145 + 2 \times 4 = 145 + 8 = 153$$ 6. Therefore, approximately 95% of the population values lie between 137 and 153. Final answers: - (a) Approximately 68% - (b) Between 137 and 153