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A teacher decides to test a hypothesis if the variance population of a sample of pencils...

A teacher decides to test a hypothesis if the variance population of a sample of pencils is less than 0.6 with given is 0.01. A random sample of 30 pencils with standard deviation of 0.2 claims that the length of the pencil is approximately normally distributed with a standard deviation is 0.3. Is there enough evidence to support the claim?

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