(b) What percentage of women will have a height in the interval determined in part (a)?

To determine the percentage of women whose height falls within a specific interval, we often refer to statistical data on women's heights, typically using a normal distribution model. For example, if the average height of women is around 65 inches with a standard deviation of 3 inches, we can use the Z-score formula to find the percentage that lies within a specified range. This involves calculating the Z-scores for the lower and upper bounds of the interval, and then checking the standard normal distribution table to find the corresponding probabilities. Also, remember that the normal distribution can be visually represented by a bell curve. The area under the curve represents the total percentage, with 50% of the population falling below the mean. If your interval centers around the mean and extends equally in both directions, you can directly calculate the percentage within this range using the respective probabilities. It’s like playing a number guessing game but with heights!