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Fed [463]
3 years ago
12

Let the mean of the population be 38 instances of from 6" - 9" hatchings per nest, and let the standard deviation of the mean be

4. What sample mean would have a confidence level of 95% or a 2.5% margin of error? 32 34 36 38
Mathematics
2 answers:
Yakvenalex [24]3 years ago
7 0

Answer with explanation:

Mean of the population having 6"-9" Hatching =38

Standard Deviation =4

Confidence interval of 95% means that 95% of data lie within two standard deviations.

That is data values lie between 38-2×4 to 38 +2×4.

⇒Which is 38-8 to 38+8.

⇒30 to 46.

it is also given that margin of error is 2.5%.

So, the data value will lie between

30-30*\frac{2.5}{100} {\text{to}} 46 +46*\frac{2.5}{100}\\\\ 30-0.75 {\text{to}}46+\frac{115}{100}\\\\ 29.25 {\text{to}}47.15

Mean of beginning value to extreme value of 95% confidence level

   =\frac{29.25+47.15}{2}\\\\=38.20

So, Sample mean of this observation having 2.5% margin of error = 38

Option D:→ 38

   

Lisa [10]3 years ago
4 0
I saw 34 I'm trying that now
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<img src="https://tex.z-dn.net/?f=95%20%5Cdiv%2013.246" id="TexFormula1" title="95 \div 13.246" alt="95 \div 13.246" align="absm
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