3 years ago

I NEED HELP PLEASE !!!!! :(

1 answer:

4 0

Step-by-step explanation: use a histograph

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Sphinxa [80]

Answer: (1.55, 6.45)

Step-by-step explanation:

The confidence interval for population mean is given by :-

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

Given : Significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=2.576$

Sample size : n=41

Sample mean : $\overline{x}=4.0\text{ kg}$

Standard deviation : $\sigma=6.1\text{ kg}$

Then, 99% confidence interval for population mean will be :_

$4\pm\ (2.576)\dfrac{6.1}{\sqrt{41}}\\\\\approx4\pm2.45\\\\=(4-2.45, 4+2.45)=(1.55, 6.45)$

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3 years ago