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.0.551.801.522.051.031.180.801.331.291.153.341.540.080.120.600.720.921.051.433.011.812.170.630.560.030.090.180.341.511.451.520.191.550.010.070.650.400.241.511.451.601.804.690.087.891.581.620.030.230.72 (a) Find the range.(b) Use a calculator to calculate Σx and Σx2.Σx= Σx2= (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 four decimal places.)x= s2= s= 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 arandom sample of 50 epoxy strands. Let x be a random variable representing time to failure (in hours) at 90% breaking strength.0.55 1.80 1.52 2.05 1.03 1.18 0.80 1.33 1.29 1.153.34 1.54 0.08 0.12 0.60 0.72 0.92 1.05 1.43 3.011.81 2.17 0.63 0.56 0.03 0.09 0.18 0.34 1.51 1.451.52 0.19 1.55 0.01 0.07 0.65 0.40 0.24 1.51 1.451.60 1.80 4.69 0.08 7.89 1.58 1.62 0.03 0.23 0.72n USE SALT(a) Find the range.7.88(b) Use a calculator to calculate Ex and Ex?.Σχ-Ex² =(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 four decimal places.)X =s2 =s =

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MATLAB: An Introduction with Applications

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Author:Amos Gilat

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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.

0.55	1.80	1.52	2.05	1.03	1.18	0.80	1.33	1.29	1.15
3.34	1.54	0.08	0.12	0.60	0.72	0.92	1.05	1.43	3.01
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	1.62	0.03	0.23	0.72

(a) Find the range.

(b) Use a calculator to calculate Σx and Σx².

Σx	=
Σx²	=

(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 four decimal places.)

x	=
s²	=
s	=

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.
0.55 1.80 1.52 2.05 1.03 1.18 0.80 1.33 1.29 1.15
3.34 1.54 0.08 0.12 0.60 0.72 0.92 1.05 1.43 3.01
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 1.62 0.03 0.23 0.72
n USE SALT
(a) Find the range.
7.88
(b) Use a calculator to calculate Ex and Ex?.
Σχ-
Ex² =
(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 four decimal places.)
X =
s2 =
s =

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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