different types of machines. The corporation wants to evaluate the diameter dimensions of the shields produced by the machines. A corporation who randomly selects shields produced by each of the the inside diameter of each shield (in millimeters). She wants to de means and standard deviations of the three machines differ.

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A small corporation in Illinois makes insulation shields for electrical wires using three different types of machines. The corporation wants to evaluate the variation in the inside diameter dimensions of the shields produced by the machines. A quality engineer at the corporation who randomly selects shields produced by each of the machines and records the inside diameter of each shield (in millimeters). She wants to determine whether the means and standard deviations of the three machines differ.

**Table 1: Sampled data of the inside diameter of shields produced by Machine A, B, and C.**

| Shield | Machine A | Machine B | Machine C |
|--------|-----------|-----------|-----------|
| 1      | 27.0      | 34.2      | 99.3      |
| 2      | 3.0       | 39.8      | 36.2      |
| 3      | 4.2       | 15.8      | 47.8      |
| 4      | 5.1       | 29.8      | 58.7      |
| 5      | 10.4      | 61.1      | 82.3      |
| 6      | 6.5       | 31.1      | 0.8       |
| 7      | 6.5       | 18.3      | 11.0      |
| 8      | 1.1       | 3.6       | 9.0       |
| 9      | 14.2      | 11.2      | 46.3      |
| 10     | 21.2      | 20.0      | 36.4      |
| 11     | 2.5       | 26.9      | 54.5      |
| 12     | 9.4       | 52.6      | 25.3      |
| 13     | 19.7      | 65.2      | 24.6      |
| 14     | 13.0      | 37.3      | 90.5      |
| 15     | 4.6       | 19.0      | 64.0      |

**Graph Explanation:**

The table lists the recorded inside diameters of insulation shields for 15 samples, comparing three machines (A
Transcribed Image Text:A small corporation in Illinois makes insulation shields for electrical wires using three different types of machines. The corporation wants to evaluate the variation in the inside diameter dimensions of the shields produced by the machines. A quality engineer at the corporation who randomly selects shields produced by each of the machines and records the inside diameter of each shield (in millimeters). She wants to determine whether the means and standard deviations of the three machines differ. **Table 1: Sampled data of the inside diameter of shields produced by Machine A, B, and C.** | Shield | Machine A | Machine B | Machine C | |--------|-----------|-----------|-----------| | 1 | 27.0 | 34.2 | 99.3 | | 2 | 3.0 | 39.8 | 36.2 | | 3 | 4.2 | 15.8 | 47.8 | | 4 | 5.1 | 29.8 | 58.7 | | 5 | 10.4 | 61.1 | 82.3 | | 6 | 6.5 | 31.1 | 0.8 | | 7 | 6.5 | 18.3 | 11.0 | | 8 | 1.1 | 3.6 | 9.0 | | 9 | 14.2 | 11.2 | 46.3 | | 10 | 21.2 | 20.0 | 36.4 | | 11 | 2.5 | 26.9 | 54.5 | | 12 | 9.4 | 52.6 | 25.3 | | 13 | 19.7 | 65.2 | 24.6 | | 14 | 13.0 | 37.3 | 90.5 | | 15 | 4.6 | 19.0 | 64.0 | **Graph Explanation:** The table lists the recorded inside diameters of insulation shields for 15 samples, comparing three machines (A
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