Tree-ring dates were used extensively in archaeological studies at Burnt Mesa Pu

Question

Tree-ring dates were used extensively in archaeological studies at Burnt Mesa Pueblo. At one site on the mesa, tree-ring dates (for many samples) gave a mean date of mu_1 = year 1255 with standard deviation sigma_1 = 35 years. At a second, removed site, the tree-ring dates gave a mean of mu_2 = year 1105 with standard deviation sigma_2 = 38 years. Assume that both sites had dates that were approximately normally distributed In the first area, an object was found and dated as x_1 = year 1205. In the second area another object was found and dated as x_2 = year 1249. The Standard Normal Distribution (mu - 0, sigma - 1) (a) Convert both x_1 and x_2 to z values, and locate both of these values under the standard normal curve of the figure above. (Round your answers to two decimal places.) (b) Which of these two items is the more unusual as an archaeological find in its location? x_1; the further a z value is from zero, the more unusual it is. x_2; the further a z value is from zero, the more unusual it is. x_1; the close a z value is to zero, the more unusual it is. x_2; the closer a z value is to zero, the more unusual it is.

Explanation / Answer

for as we know that z score =(X-mean)/std deviation

hence z1=(1205-1255)/35=-1.43

z2 =(1249-1105)/38=3.79

b) x2. the further a z value is from 0, th more unusual it is

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