664 HW3 Solns

# 664 HW3 Solns - Statistics 664 Autumn 2010 Homework 3...

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Statistics 664 – Autumn 2010 Homework 3 Solutions In all of 5.17, 5.18, and 5.19 we are looking for patterns that we would think would be very unlikely if the data were random. In particular, we apply the rules discussed in class. Note that rules involving the two-sigma or one-sigma limits cannot be applied because we don’t know if the control limits are three sigma limits and hence where the two- and one-sigma limits might be. This means that we would consider a plot to be nonrandom if (i) One or more points are outside the control limits (ii) We have a run of 8 or more consecutive points on one side of the center line. (iii) We have at least 6 points in a row that are steadily increasing or decreasing. (iv) 14 points in a row alternating up and down. (v) An “unusual” pattern in the data/ 5.17 The pattern appears random. None of our rules are applicable. 5.18. The pattern appears random. None of our rules are applicable. 5.19.

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664 HW3 Solns - Statistics 664 Autumn 2010 Homework 3...

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