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The college Physical Education Department offered an Advanced First
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The college Physical Education Department offered an Advanced First Aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z scores for some of the students are shown below.

 Robert, 1.14 Juan, 1.67 Susan, –2.09 Joel, 0.00 Jan, –0.98 Linda, 1.70

(a) Which of these students scored above the mean? (Select all that apply.)

JanJoelJuanLindaRobertSusan

(b) Which of these students scored on the mean? (Select all that apply.)

JanJoelJuanLindaRobertSusan

(c) Which of these students scored below the mean? (Select all that apply.)

JanJoelJuanLindaRobertSusan

(d) If the mean score was μ = 150 with standard deviation σ = 22, what was the final exam score for each student? (Round your answers to the nearest whole number.)

 Robert 4 Joel 5 Jan 6 Juan 7 Susan 8 Linda 9

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 μ1 = year 1265 with standard deviation σ1 = 39 years. At a second, removed site, the tree-ring dates gave a mean of μ2 = year 1108 with standard deviation σ2 = 37 years. Assume that both sites had dates that were approximately normally distributed. In the first area, an object was found and dated as x1 = year 1214. In the second area, another object was found and dated as x2 = year 1250.

(a) Convert both x1 and x2 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.)

 z1 = 1 z2 = 2

(b) Which of these two items is the more unusual as an archaeological find in its location?

x1; the further a z value is from zero, the more unusual it is. x2; the further a z value is from zero, the more unusual it is.     x1; the closer a z value is to zero, the more unusual it is. x2; the closer a z value is to zero, the more unusual it is.

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