Using the sample 0.80, 0.81, 0.81, 0.82, 0.81, 0.82, 0.80, 0.81, 0.81, (length of nails in inches),

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Using the sample 0.80, 0.81, 0.81, 0.82, 0.81, 0.82, 0.80, 0.81, 0.81, (length of nails in inches), test the hypothesis μ = 0.80 in. (the length indicated on the box) against the alternative μ ≠ 0.80 in. (Assume normality, choose a = 5%).
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