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miss Akunina [59]
2 years ago
11

It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate

the population mean if the desired margin of error is 5 or less is
Mathematics
1 answer:
Hitman42 [59]2 years ago
3 0

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.                          

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

\sigma^2 = 484\\\sigma =\sqrt{484} = 22

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2

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

Putting values, we get

E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

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3 years ago
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Answer:

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y - 2 = 4(x + 3)

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2 years ago
Find area of a parallelogram with a height of 8 inches and a base of 14 inches
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Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{112 \:  {inches} \: ^{2} }}}}}

Step-by-step explanation:

Given,

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Area of a parallelogram ( A ) = ?

<u>Finding </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>parallelogram</u>

<u>\boxed{ \sf{area \: of \: parallelogram \:  =  \: base \:  \times  \: height}}</u>

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Hope I helped!

Best regards! :D

4 0
3 years ago
Marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the y-axis. Which m
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2 years ago
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