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olya-2409 [2.1K]
3 years ago
8

Look at screenshot please

Mathematics
1 answer:
Nastasia [14]3 years ago
3 0
I think the correct is c
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A random sample of 64 items is selected from a population of 400 items. The sample mean is 200. The population standard deviatio
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Answer:   (188.24,\ 211.76 ).

Step-by-step explanation:

Given : Sample size : n= 64 , the sample is a large sample (n>30), so we can apply z-test.

Sample mean = \overline{x}=200

Standard deviation : \sigma=48

Level of confidence:1-\alpha=0.95

\Rightarrow\ \alpha=0.05

Then, critical z-value =z_{\alpha/2}=1.96

The  confidence interval to estimate the population mean is given by :_

\overline{x}\ \pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

=200\ \pm\ (1.96)\dfrac{48}{\sqrt{64}}\\\\=200\pm11.76=(200-11.76, 200+11.76)=(188.24,\ 211.76 )

Hence, the  95% confidence interval to estimate the population mean can be computed as (188.24,\ 211.76 ).

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375.1333 rounded to the nearest whole number
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As 0.1333 is less than 0.5 the answer is


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I believe this is a METAPHOR cause you cant really throw your voice as rope.

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