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Determine the standard deviation of the sample

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Q: A lumber company has claimed that the standard deviation for the lengths of their 6 foot boards is 0.5 inches or less. To test their claim , a random sample of 17 six-foot boards is selected; and it is determined that the standard deviation of the sample is 0.42. Do the results of the sample support the company's claim? Use alpha = 0.05.

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Basic Statistics: Determine the standard deviation of the sample

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