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(7) A company produces metal pipes of a standard length, and claims that the standard deviation of the length is at most 1.2 cm. One

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(7) A company produces metal pipes of a standard length, and claims that the standard deviation of the length is at most 1.2 cm. One of its clients decides to test this claim by taking a sample of 25 pipes and checking their lengths. They found that the standard deviation of the sample is 1.5 cm. Does this sample undermine the company's claim? Assume the lengths are normally distributed. Use a = 0.02

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