at alll 68% 5:00 PM
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3
. . .
For each unit of return, the funds have equal risk.
If s represents risks and x represents expected
return, then s/x can be thought of as a measure
of risk per unit of expected return. In this case,
why is a smaller CV better? Explain.
A smaller CV is better because it indicates a higher risk per unit of expected return.
A smaller CV is better because it indicates a lower risk per unit of expected return.
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Kevlar epoxy is a material used on the NASA space
shuttles. Strands of this epoxy were tested at the
90% breaking strength. The following data
represent time to failure (in hours) for a random
sample of 50 epoxy strands. Let x be a random
variable representing time to failure (in hours) at
90% breaking strength.
0.54 1.80 1.52 2.05 1.03 1.18 0.80 1.33 1.29 1.14
3.34 1.54 0.08 0.12 0.60 0.72 0.92 1.05 1.43 3.04
1.81 2.17 0.63 0.56 0.03 0.09 0.18 0.34 1.51 1.45
1.52 0.19 1.55 0.01 0.07 0.65 0.40 0.24 1.51 1.45
1.60 1.80 4.69 0.08 7.89 1.58 1.64 0.03 0.23 0.72
(a) Find the range.
7.87.
x
(b) Use a calculator to calculate Ex and Ex2.
(Round your answers to two decimal places.)
Ex = 62 11
Ex2 = 164.23
x
(c) Use the results of part (b) to compute the
sample mean, variance, and standard deviation
for the time to failure. (Round your answers to