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2 points) Round all answers to four decimal places. A factory quality control manager decides to investigate the percentage of defective items produced each day. Within a given work week (Monday through Friday) the percentage of defective items produced was Calculate the mean for these data Calculate the standard deviation for these data

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Answer #1

Mean (Xbar) = Sum of data/ Number of data = 1.72

Standard deviation ( σ ) = ⎷∑(xiXbar)2 / (n−1)

2 data 2.4 1.9 1.3 1.1 1.9 data-mean 0.68 0.18 0.42 0.62 0.18 (data - mean) 0.4624 0.0324 0.1764 0.3844 0.0324

∑(xiXbar)2 = 1.088

σ = ⎷∑(xiXbar)2 / (n−1) = √1.088/(5-1) ≈ 0.5215

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