If the confidence interval and hypothesis test both used the same data, how did they come up with different standard errors

Mathematics

1 answer:

Genrish500 [490]2 years ago

8 0

Confidence intervals and hypothesis testing share the characteristic that they are both inferential techniques

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iVinArrow [24]

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2 years ago

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra

Dovator [93]

Circumference of a circle is C = 2πr.

part 1)

so the radius of the smaller gear is 3 inches, so after a full rotation, namely a revolution, the smaller gear has covered an arc of 2π(3), or 6π.

what angle has the larger gear of 7 inches in radius, has it covered with an arc of 6π?

$\bf \textit{arc's length}\\\\
s=r\theta ~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
s=6\pi \\
r=7
\end{cases}\implies 6\pi =7\theta \implies \cfrac{6\pi }{7}=\theta$

part 2)

since the larger gear has a radius of 7, in a revolution it will have an arc of 2π(7), or 14π.

now, we know the smaller gear does a 6π arc in a revolution, how many revolutions will it do in an arc of 14π?

$\bf \begin{array}{ccll}
arc&revolution\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6\pi &1\\
14\pi &x
\end{array}\implies \cfrac{6\pi }{14\pi }=\cfrac{1}{x}\implies \cfrac{3}{7}=\cfrac{1}{x}\implies x=\cfrac{7}{3}$

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bezimeni [28]

Method 1 :
(152+138+160)÷3 = 150

(152+138+160+198)÷4 = 162

Then his average score will increase

Method 2 :
Since 198 > 150 then the average will increase automatically.

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1 year ago

Expand and simplify 2(x+7)+3(x+1)

kirza4 [7]

2(x+7)+3(x+1)
= 2x+14+3x+3
= 5x+17

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2 years ago

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