Chell is testing several types of boots for durability when falling a long distance. She found six types of boots. For each boot she drops from increasing heights until she is injured. Her overall average was 72.5 feet, with a pooled standard deviation of 6.4. The data for each type is shown below.   Number of boots Std Dev (for each boot) Mean height (in feet) Steel 24 6.9 69.5 Titanium 7 8.9 69.4 Vibranium 18 5.2 73.3 Mithril 8 5.9 74.5 Netherite 13 4.4 75.4 Atium 15 7.2 74.2

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