A testing agency is evaluating three different brands of bathroom scales and has selected random samples of each brand.
For brand A, a test object was found to weigh 204, 202, 197, 204, and 205 pounds on the five scales sampled. For four scales of brand B, the test object weighed 201, 199, 196, and 203 pounds, while for six scales of brand C, the object weighed 195, 197, 192, 196, 198, and 196 pounds.
Using the 0.025 level of significance, determine whether the three brands could have the same population mean for this test object.