(a) A consumer organization is testing two different brands of battery. A sample of 15 of brand A shows an average useful life of 410 hours with a standard deviation of 20 hours. For brand B, a sample of 20 gave an average useful life of 391 hours with standard deviation 26 hours. Assuming equal variances, test whether there is any significant difference in battery life. Use p-value approach and assume 1% level of significance. (b) What assumptions are being made about the populations in carrying out this test?
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