17.| Space Shuttle: Epoxy Kevlar epoxy is a material used on the NASA tles. Strands of this epoxy were tested at the 90% breaking strength. The follow- ing data represent time to failure (in hours) for a random sample of 50 epoxy strands (Reference: R. E. Barlow, University of California, Berkeley). Let x be a random variable representing time to failure (in hours) at 90% breaking strength. Note: These data are also available for download at http://www.cengagebrain space shut- .com. 0.54 1.80 1.52 2.05 1.03 1.18 0.80 1.33 1.29 1.11 3.34 1.54 0.08 0.12 0.60 0.72 0.92 1.05 1.43 3.03 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 0.02 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. (b) Use a calculator to verify that Ex = 62.11 and Ex? (c) Use the results of part (b) to compute the sample mean, variance, and stand- = 164.23. ard deviation for the time to failure. (d) Interpretation Use the results of part (c) to compute the coefficient of varia- tion. What does this number say about time to failure? Why does a small CV indicate more consistent data, whereas a larger CV indicates less consistent data? Explain.

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17.| Space Shuttle: Epoxy Kevlar epoxy is a material used on the NASA
tles. Strands of this epoxy were tested at the 90% breaking strength. The follow-
ing data represent time to failure (in hours) for a random sample of 50 epoxy
strands (Reference: R. E. Barlow, University of California, Berkeley). Let x be a
random variable representing time to failure (in hours) at 90% breaking strength.
Note: These data are also available for download at http://www.cengagebrain
space
shut-
.com.
0.54
1.80
1.52
2.05
1.03
1.18
0.80
1.33
1.29
1.11
3.34
1.54
0.08
0.12
0.60
0.72
0.92
1.05
1.43
3.03
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
0.02
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.
(b) Use a calculator to verify that Ex = 62.11 and Ex?
(c) Use the results of part (b) to compute the sample mean, variance, and stand-
= 164.23.
ard deviation for the time to failure.
(d) Interpretation Use the results of part (c) to compute the coefficient of varia-
tion. What does this number say about time to failure? Why does a small CV
indicate more consistent data, whereas a larger CV indicates less consistent
data? Explain.
Transcribed Image Text:17.| Space Shuttle: Epoxy Kevlar epoxy is a material used on the NASA tles. Strands of this epoxy were tested at the 90% breaking strength. The follow- ing data represent time to failure (in hours) for a random sample of 50 epoxy strands (Reference: R. E. Barlow, University of California, Berkeley). Let x be a random variable representing time to failure (in hours) at 90% breaking strength. Note: These data are also available for download at http://www.cengagebrain space shut- .com. 0.54 1.80 1.52 2.05 1.03 1.18 0.80 1.33 1.29 1.11 3.34 1.54 0.08 0.12 0.60 0.72 0.92 1.05 1.43 3.03 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 0.02 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. (b) Use a calculator to verify that Ex = 62.11 and Ex? (c) Use the results of part (b) to compute the sample mean, variance, and stand- = 164.23. ard deviation for the time to failure. (d) Interpretation Use the results of part (c) to compute the coefficient of varia- tion. What does this number say about time to failure? Why does a small CV indicate more consistent data, whereas a larger CV indicates less consistent data? Explain.
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