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kramer
2 years ago
14

A summer camp has 110 dividend as evenly as possible into 9 cabins.About how many campers are in each cabin?

Mathematics
1 answer:
enot [183]2 years ago
8 0

Answer:

12

Step-by-step explanation:

divide 110 by 9 and the answer is 12.2, since 2 is below 5 you round back to the nearest whole number and you'll receive 12.

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Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and the critical value would be t_{\alpha/2}=1.669

And replacing we got

17.5-1.669\frac{4.2}{\sqrt{65}}=16.63    

17.5+1.669\frac{4.2}{\sqrt{65}}=18.37    

For the 95% confidence the critical value is t_{\alpha/2}=1.998

17.5-1.998\frac{4.2}{\sqrt{65}}=16.46    

17.5+1.998\frac{4.2}{\sqrt{65}}=18.54    

Step-by-step explanation:

Information given

\bar X¿ 17.5 represent the sample mean

\mu population mean (variable of interest)

s¿4.2 represent the sample standard deviation

n¿65 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom are given by:

df=n-1=65-1=64

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and the critical value would be t_{\alpha/2}=1.669

And replacing we got

17.5-1.669\frac{4.2}{\sqrt{65}}=16.63    

17.5+1.669\frac{4.2}{\sqrt{65}}=18.37    

For the 95% confidence the critical value is t_{\alpha/2}=1.998

17.5-1.998\frac{4.2}{\sqrt{65}}=16.46    

17.5+1.998\frac{4.2}{\sqrt{65}}=18.54    

8 0
3 years ago
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