In a metal fabrication process, metal rods are produced that have an average length of 20.5 metres with a standard deviation of 2.3 metres. A quality control specialist collects a random sample of 30 rods and measures their lengths.
a. Describe the sampling distribution for the sample mean by naming the model and telling its mean and standard deviation.
b. Suppose the resulting sample mean is 19.5 metres. Do you think that this sample result is unusually small? Explain.
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