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mixas84 [53]
3 years ago
8

A recent study was conducted to determine the concentration of lead in drinking water across various states. 25 water samples fr

om the state of Washington were tested; the mean lead concentration was found to be 0.15%. This compares to 32 water samples in the state of Minnesota where the mean was reported to be 0.21%. The data was calculated to be significant at the 0.0001 level. Determine the meaning of this significance level.
Mathematics
1 answer:
Nataliya [291]3 years ago
8 0

Answer:

When is at a significance level of 0.0001, the concentration of lead is above in water from Minnesota.

Step-by-step explanation:

The Significance level is the calculation or estimation of the strength of proof that must be seen in a sample, before the hypothesis will be rejected and concluded that the result is statistically true or correct.

In this case, when a data is calculated to be significant at 0.0001 from a recent duty, what the significance level implies in this case is that, at  a level of 0.001, the concentration of lead is above or higher in water from Minnesota.

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Therefore the angle of intersection is \theta =79.48^\circ

Step-by-step explanation:

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Given,

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To find the tangent of a carve , we have to differentiate the carve.

r'_1(t)=(2,2t,4t^3)

The tangent at (0,0,0) is     [ since the intersection point is (0,0,0)]

r'_1(0)=(2,0,0)      [ putting t= 0]

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r'_2(t)=(cos t ,5 cos5t, 2)

The tangent at (0,0,0) is    

r'_2(0)=(1 ,5, 2)        [ putting t= 0]

|r'_1(0)|=\sqrt{1^2+5^2+2^2} =\sqrt{30}

If θ is angle between tangent, then

cos \theta =\frac{r'_1(0).r'_2(0)}{|r'_1(0)|.|r'_2(0)|}

\Rightarrow cos \theta =\frac{(2,0,0).(1,5,2)}{2.\sqrt{30} }

\Rightarrow cos \theta =\frac{2}{2\sqrt{30} }

\Rightarrow cos \theta =\frac{1}{\sqrt{30} }

\Rightarrow  \theta =cos^{-1}\frac{1}{\sqrt{30} }

\Rightarrow  \theta =79.48^\circ

Therefore the angle of intersection is \theta =79.48^\circ.

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