A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.15 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 23 bolts has an average diameter of 0.14 cm with a standard deviation of 0.2627. Can the manufacturer conclude that the bolts vary by more than the required variance at ? = 0.01 level? Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary.
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