A chemist is interested in comparing the quality of two chemical compounds. From a random sample of 12 containers of compound A, a standard deviation of 15.2 is reported for a quality characteristic. For compound B, in a sample of 20 containers, there is a standard deviation of 10.1. Is there sufficient evidence at the 5% significance that compound B has lower quality than compound A? Assume that the quality characteristic of both compounds follows a normal distribution.

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