Need help on this . Explain how you got it ?

Mathematics

1 answer:

kvasek [131]2 years ago

8 0

The goal is to find a number between 0.125 and 0.18
1/5 is 0.2
0.2, 1.6, 0.09 are not in the range. Therefore, the square root of 0.02 (0.1414) is the answer.

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And the best option for this case would be:

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Step-by-step explanation:

Information given

$\bar X= 19.6$ represent the sample mean

$\mu$ population mean

$\sigma= 5.8$ represent the population deviation

n=42 represent the sample size

Confidence interval

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

The degrees of freedom, given by:

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Since the Confidence is 0.98 or 98%, the significance would be $\alpha=0.02$ and $\alpha/2 =0.1$ , and the critical value would be $t_{\alpha/2}=2.42$