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A researcher measured the diameter of n = 8 randomly chosen chondrocytes (cartilage cells) to be 6.0 + 2.5 um (mean + standard deviation), assuming

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A researcher measured the diameter of n = 8 randomly chosen chondrocytes (cartilage cells) to be 6.0 + 2.5 um (mean + standard deviation), assuming cell diameters follow normal distribution, a) (5 pts) Test if the standard deviation of chondrocyte diameter population equals 3 um. b) (5 pts) Calculate the 95% confidence interval of chondrocyte diameter variance

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