Which expression is modeled on the number line?

Helppp

Which expression is modeled on the number line?
Helppp

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Ответ:

caschmitt3821

02.11.2022

Mathematics

C.I = (371.88 , 458.12)

Step-by-step explanation:

Given that:

sample size n = 100

sample mean $\overline x =$ 415

standard deviation = 220

The objective is to calculate the 95% confidence interval for the average increase in number of words students who can read in a minute without losing comprehension.

At 95% confidence interval; level of significance ∝ = 1 - 0.95

level of significance ∝ = 0.05

$z_{\alpha/2} = 0.05/2$

$z_{\alpha/2} = 0.025$

The critical value at $z_{\alpha/2} = 0.025$ is 1.96

C.I = $\overline x \pm M.O,E$

C.I = $\overline x \pm z_{\alpha/2} \dfrac{\sigma }{\sqrt{n}}$

C.I = $415\pm 1.96 \dfrac{220 }{\sqrt{100}}$

C.I = $415\pm 1.96 *\dfrac{220 }{10}$

C.I = $415\pm 1.96 *22$

C.I = $415\pm 43.12$

C.I = (371.88 , 458.12)

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Which expression is modeled on the number line? Helppp