The college Physical Education Department offered an Advanced First Aid course l

Question

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, 0.92 Juan, 1.55 Susan, -1.83 Joel, 0.00 Jan, -0.7 Linda, 1.56 a) Which of these students scored above the mean? (Select all that apply.) Jan Joel Juan Linda Robert Susan (b) Which of these students scored on the mean? (Select all that apply.) Jan Joel Juan Linda Robert Susan (c) Which of these students scored below the mean? (Select all that apply.) Jan Joel Juan Linda Robert Susan (d) If the mean score was mu = 144 with standard deviation sigma = 15, what was the final exam score for each student? (Round your answers to the nearest whole number.) Robert Joel

Explanation / Answer

a) Students scored above the mean

= Students having positive z scores

So,

Robert, Juan and Linda scored above the mean.

b) Students scored on the mean

= Students having z score as 0

So,

Joel scored on the mean.

c) Students scored below the mean

= Students having negative z scores

So,

Jan and Susan scored below the mean.

d) Actual scores:

Robert: 144 + 15(0.92) = 158

Joel: 144 + 15(0) = 144

Jan: 144 + 15(-0.7) = 134

Juan: 144 + 15(1.55) = 167

Susan: 144 + 15(-1.83) = 117

Linda: 144 + 15(1.56) = 167

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