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SashulF [63]
3 years ago
12

6.1.7 (Video Solution) An article in Human Factors (June 1989) presented data on visual accommodation (a function of eye movemen

t) when recognizing a speckle pattern on a high-resolution CRT screen. The data are as follows: 36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 39.0, and 50.23. Calculate the sample mean and sample standard deviation. Round your answers to 2 decimal places.
Mathematics
1 answer:
horsena [70]3 years ago
7 0

Answer:

- the sample mean is 44

- the sample standard deviation is 12.35

Step-by-step explanation:

given information:

data, x_{i} = 36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 39.0, 50.23

the number of data, n = 8

the sample mean, xbar

xbar = ∑x_{i}/n

       = (36.45+67.90+38.77+42.18+26.72+50.77+39.0+50.23)/8

       = 352.08/8

       = 44

standard deviation, s

s = \sqrt{sum(x_{i} - xbar)^{2}/n-1}

  = \sqrt{(36.45-44)^{2}+(36.45-44)^{2}.........(39.00-44)^{2}+(50.23-44)^{2}/(8-1 )}

 = \sqrt{\frac{1067.12}{7} }

 = 12.35

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Looks like we have

\vec F(x,y,z)=z^2x\,\vec\imath+\left(\dfrac{y^3}3+\sin z\right)\,\vec\jmath+(x^2z+y^2)\,\vec k

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\nabla\cdot\vec F(x,y,z)=\dfrac{\partial(z^2x)}{\partial x}+\dfrac{\partial\left(\frac{y^3}3+\sin z\right)}{\partial y}+\dfrac{\partial(x^2z+y^2)}{\partial z}=z^2+y^2+x^2

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Parameterize D by

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\displaystyle\iint_D\vec F\cdot\mathrm d\vec S=\int_0^{2\pi}\int_0^1\left(\frac{u^3}3\sin^3v\,\vec\jmath+u^2\sin^2v\,\vec k\right)\times(-u\,\vec k)\,\mathrm du\,\mathrm dv

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