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Usimov [2.4K]
4 years ago
15

5.7e+ 11.8= 1.3e + 29.4 solve as equations

Mathematics
2 answers:
zlopas [31]4 years ago
8 0

5.7e + 11.8 = 1.3e + 29.4

-1.3e -1.3e

4.4e + 11.8 = 29.4

-11.8 -11.8

4.4e/4.4 = 17.6/4.4

e = 0.25

Or

e = 4

Tcecarenko [31]4 years ago
6 0

Answer:

e=4

Step-by-step explanation:

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Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of th
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Answer:

95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.

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Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given sample size 'n' = 23

Mean of the sample x⁻ = 10.3

Standard deviation of the sample (s) = 2.4

Level of significance = 0.05

Degrees of freedom = n-1 = 23-1 =22

<u><em>Step(ii)</em></u>:-

95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.

(x^{-} - t_{\frac{\alpha }{2}  } \frac{S}{\sqrt{n} } , x^{-} +t_{\frac{\alpha }{2}  } \frac{S}{\sqrt{n} } )

(10.3 - t_{\frac{0.05}{2}  } \frac{2.4}{\sqrt{23} } , 10.3 +t_{\frac{0.05}{2}  } \frac{2.4}{\sqrt{23} } )

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(10.3-1.4106 , 10.3+1.4106)

(8.889, 11.7106)

<u><em>final answer</em></u>:-

95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.

(8.889, 11.7106)

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