A null hypothesis of the form Ho: μ = 20, is being tested against H₁ : µ ‡ 20, where is the population mean length of steel bars. You may assume, that, based on prior experience, the standard deviation of lengths of steel bar is 0.25. A random sample of 64 steel bars is collected. If a sample mean length of 19.782 is observed, should Ho be rejected at the 5% level? Determine the rejection regions both in terms of Z and X.

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