Which net represents the solid figure? pl m

net 1

net 2

net 3

Which net represents the solid figure? pl m net 1 net 2 net 3

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Ответ:

OzzyDaGod

15.12.2021

Mathematics

a) $\bar{x} = 18.21$

b) 1.64

c) (16.57,19.85)

d) The sample size must be 135 or greater if the error must not exceed $1.00.

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 50

Sample mean = $18.21

population standard deviation = $5.92

a) Point estimate for the population mean cost

$\bar{x} = 18.21$

b) Margin of error =

$z_{critical}\displaystyle\frac{\sigma}{\sqrt{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Margin of error = $1.96\displaystyle\frac{5.92}{\sqrt{50}} = 1.64$

c) 95% Confidence interval

$\mu \pm z_{critical}\displaystyle\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$18.21 \pm 1.64) = (16.57,19.85)$

d) Marginal error less than $1.00

$1.96\displaystyle\frac{\sigma}{\sqrt{n}} \leq 1\\\\\sqrt{n} \geq 1.96\times 5.92\\n \geq (11.6)^2\\n \geq 134.56 \approx 135$

Thus, the sample size must be 135 or greater if the error must not exceed $1.00.

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