**Educational Content: Normal Distribution and Percentiles** In a survey of women in a certain country (ages 20–29), the mean height was 62.8 inches with a standard deviation of 2.92 inches. Answer the following questions about the specified normal distribution. **Questions:** (a) What height represents the 95th percentile? (b) What height represents the first quartile? - **Click to view page 1 of the table. Click to view page 2 of the table.** **Answers:** (a) The height that represents the 95th percentile is _____ inches. (Round to two decimal places as needed.) (b) The height that represents the first quartile is _____ inches. (Round to two decimal places as needed.) **Instructions:** Enter your answer in each of the answer boxes. --- **Note:** Understanding percentiles in a normal distribution helps in determining how a particular measurement compares to the rest of the population. The 95th percentile indicates that 95% of the data falls below that value, while the first quartile indicates the point below which 25% of the data falls. Use the provided links to access tables that may assist in deriving these values through standard normal distribution (Z-scores) calculations.

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