2 years ago

Explain what is true if a rectangular prism and a cylinder have the same volume and the same height.

Mathematics

1 answer:

Luba_88 [7]2 years ago

7 0

If they both have the same volume and height, they would also have the same surface area.

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Null and alternative hypotheses:

H0: p1 = p2

H1: p1 ≠ p2

To find the sample proportions, we have the following:

$p'1 = \frac{x_1}{n_1} = \frac{113}{3180} = 0.0355$

$p'2 = \frac{x_2}{n_2} = \frac{157}{3168} = 0.0495$

$p' = \frac{(x_1 + x_2}{n_1 + n_2} = \frac{113 + 157}{3180 + 3168} = 0.0425$

Calculate Z statistics:

$z = \frac{(p1 -p2)}{\sqrt{(p'(1-p')*(\frac{1}{n1}+ \frac{1}{n2})}}$

$= \frac{(0.0355 - 0.0495)}{\sqrt{(0.0425*(1-0.0425) * (\frac{1}{3180} + \frac{1}{3168})}} = -2.764$

Z = -2.764

P-value = 0.00285

The pvalue is low.

Since the pvalue is low, reject null hypothesis, H0.

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