Kevlar epoxy is·mate a used on e NASA space shu es Strancs ot this epoxy \"ere t
ID: 3276555 • Letter: K
Question
Kevlar epoxy is·mate a used on e NASA space shu es Strancs ot this epoxy "ere tested at the ”st breaking strength. The follo ng data represent time to fal ure in ours orrandom sample o 50 c o y strands tim" to failure (in lou's) dt 90% breaking 1ylh. str bea rand m vari c representing a.51 .80 L.52 2.05 1.03 1.18 c.eo .33 1.29 1.15 .14 1.54 0.0 0.12 a.60 0.72 0.52 1.05 1.4 3.01 1.91 217 0.03 0.30 0.03 0.05 018 0.34 1.51 1.45 1.52 0.10 .55 0.02 0.07 0.GS C.40 0.24 1.51 1.45 1.50 1.80 4.69 0.08 2.99 1.58 1-63 0.03 .21 .2 a) Find the range (b) Use·calculator to calculate and 1x2. (Round your answers to two decimal places ) (c) Use the rezult: at part (b) to cempute the sample mean, varlarcc, and standard davlaion fer the time to fallure. (Rcund ycuranwers to two ceclmal place.) > Use the results of part(c) to ccmpute thc cocfficient of variation. Rounc your answer to thc ncarcst whos number.} The, slan'lard ileviation or the time, to failur" isjst slightly small.' than th” du”'ay" time The cocfficient of variation says nothing abeut time to failure The stancard daviation the tima to tailura is ust slightly largar than the avarage tima 'le standard deviation is equal to tbe dversye. Why doesa small ClV Ind cate mere ccnlstert data, whera a larger CVIndicates lass consistent data? Explaln. A small CV indicates mera conaistant data because the value at s in tha numerator is smaller A small CV Indicates mere conalstert data becausc the valuc at In the numerator ls larger Need Help?Read B Submit Answer Sawe Prors:Practice Ancther WersinExplanation / Answer
Answer:
Range=7.88
x=55.58
x2=143.59
Mean=1.11
Variance=1.67
Sd=1.29
Coefficient of variation = 116
The standard deviation of the time to failure is just slightly larger than the average time.
A small cv indicates more consistent data because the value of s in the numerator is smaller.
Descriptive statistics
count
50
mean
1.1116
sample standard deviation
1.2921
sample variance
1.6694
minimum
0.01
maximum
7.89
range
7.88
sum
55.5800
sum of squares
143.5852
deviation sum of squares (SSX)
81.8025
skewness
3.3953
kurtosis
15.7997
coefficient of variation (CV)
116.23%
data
0.51
1.8
1.52
2.05
1.03
1.18
0.8
1.33
1.2
1.15
0.04
1.54
0.08
0.12
0.6
0.72
0.92
1.05
1.4
0.01
1.81
2.17
0.63
0.56
0.03
0.09
0.18
0.34
1.51
1.45
1.52
0.1
1.55
0.02
0.07
0.65
0.4
0.24
1.51
1.45
1.8
4.69
0.08
7.89
1.58
1.63
0.03
0.23
0.72
1.6
Descriptive statistics
count
50
mean
1.1116
sample standard deviation
1.2921
sample variance
1.6694
minimum
0.01
maximum
7.89
range
7.88
sum
55.5800
sum of squares
143.5852
deviation sum of squares (SSX)
81.8025
skewness
3.3953
kurtosis
15.7997
coefficient of variation (CV)
116.23%
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