The standard deviation in a large population is equal to 8.3. How big sample is needed to be 90% sure that the sample mean is within 1.3units of the population mean?

Answers

Answer 1

Answer:

111

Explanation:

The sample mean is within 1.3units of the population mean, therefore the margin of error (E) = 1.3

confidence (C) = 90% = 0.9

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1 / 2 = 0.05

The z value for a confidence of 90% = z value of α/2 = z value of 0.45 (0.5 - 0.05) = 1.645

Given that E = 1.3, standard deviation (σ) and sample size = n.

The margin of error (E) is given by:

[tex]E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\Substituting:\\\\1.3=1.645*\frac{8.3}{\sqrt{n} }\\\\\sqrt{n}= 1.645*\frac{8.3}{1.3}\\\\\sqrt{n} =10.5\\\\n=110.3[/tex]

n ≈ 111 (to the next whole number)


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The definition of convince is to make someone do something you wanted them to do.

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Select the correct answer.
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A.
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Answers

Answer:

Owls need to eat a lot of fresh mice daily.

Explanation:

It doesn't say that they NEED a lot of mice, but it did say that was their diet and they are known to eat small animals that cross their path. This is the only option that makes sense.

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Being an effective predator indicates that owls have certain abilities and strategies that they employ to successfully catch their prey.

The sample indicates that it is challenging to keep an owl as a pet, since they require a lot of fresh mice to eat every day. Therefore, choice A is correct.

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Full inclusion is widely applied today.

Explanation:

Full inclusion has to do with teaching all students using the best method they can learn from.

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Answer:

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Explanation:

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Answer:

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Explanation:

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Answer:

Your answer is D

Explanation:

"They are not textbooks for the formal study of Buddhism, but introductions to its study."

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“They are not textbooks for the formal study of Buddhism, but introductions to its study.”

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If I were to draft a constitution for my country's citizens, I would first consider fundamental issues like discrimination and other issues before deciding whether or not to include them. Additionally, I would consider the best regulation that everyone would agree to implement in the future.

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If you are using a chocolate powder mix, you will want to start by heating up some water.

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