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?

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)

(Help me here please, I hope your answer is serious.)​

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4)
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1. Mr. Utterson the lawyer was a man of a rugged countenance, that was never lighted by a smile; cold, scanty and embarrassed in
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Oa
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Oь
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oc
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Od

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Find the prepositional phrase.


Our team is playing basketball at the junior high courts this afternoon

A,b,c or D I will be asking more questions!! Thanks