![]() We see that the variance of (1.1) 2 = 1.21 is in this range, but the sample is too small to get much precision.Įxample 2: 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. Alternatively, we reject the null hypothesis if either 37.5 = x > ( α/2, df) = (.025, 24) = 39.4 or 37.5 = x 1.2 cm H 0: the standard deviation of the pipe length is ≤ 1.2 cm We perform a one-tail test based on the following hypotheses: They found that the standard deviation of the sample is 1.5 cm.
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