Let xn and sn2 denote the sample mean and variance forthe
Chapter 1, Problem 79(choose chapter or problem)
Let xn and sn2 denote the sample mean and variance forthe sample x1,, xn and let xn11 and sn11 2 denote thesequantities when an additional observation xn11 is addedto the sample.a. Show how xn11 can be computed from xn and xn11.b. Show thatnsn11 2 = (n 2 1)sn2 1 nn 1 1 (xn11 2 xn)2 so that sn11 2 can be computed from xn11, xn, and sn2.c. Suppose that a sample of 15 strands of drapery yarnhas resulted in a sample mean thread elongation of12.58 mm and a sample standard deviation of .512mm. A 16th strand results in an elongation value of 11.8. What are the values of the sample mean andsample standard deviation for all 16 elongationobservations?
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