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mario62 [17]
3 years ago
9

Please help will mark brainliest

Mathematics
1 answer:
babunello [35]3 years ago
8 0
The correct answer would be B
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A random sample of five Galaxy 8 smartphones is selected from the production line after final assembly, and the result of the we
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<h2>Answer with explanation:</h2>

Given : A random sample of five Galaxy 8 smartphones is selected from the production line after final assembly, and the result of the weight control measurement is (in grams) are :

X= 155.1, 154.8, 155.5, 155.3, and 154.6.

here, n=5

The average weight :\overline{x}=\dfrac{\sum^{i=5}_{i=1}x_i}{n}

=\dfrac{155.1+154.8+155.5+155.3+154.6}{5}\\\\=\dfrac{775.3}{5}=155.06

∴ Average weight (\overline{x})=155.06 grams

Uncertainty = Standard deviation: \sigma=\sqrt{\dfrac{\sum^{i=5}_{i=1}(x_i-\overline{x})^2}{n}}

=\sqrt{\dfrac{(0.04)^2+(-0.26)^2+(0.44)^2+(0.24)^2+(-0.46)^2}{5}}

=\sqrt{\dfrac{0.532}{5}}=\sqrt{0.1064}=0.326190128606\approx0.33

i.e. Its uncertainty : \sigma=0.33

The fractional uncertainty = \dfrac{\sigma}{\overline{x}}

=\dfrac{0.33}{155.06}=0.00212820843544\approx0.002

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