Question

Hi, can you help me answer this question, please, thank you!

Answer 1

Given the following parameters

`n=14,\bar{x}=37,s=2`

The formula to find the margin of error, MOE, is

`\text{MOE}=z*\frac{s}{\sqrt[]{n}}`

Where

`\begin{gathered} \text{MOE is the margin of error} \\ z\text{ is the z-score} \\ s\text{ is the standard deviation} \\ n\text{ is number of sample} \end{gathered}`

The z-score for 95% confidence interval is

`z=1.960`

Substitute the parameters into the margin of error formula

`\begin{gathered} \text{MOE}=z*\frac{s}{\sqrt[]{n}} \\ \text{MOE}=1.960*\frac{2}{\sqrt[]{14}} \\ \text{MOE}=1.960*0.5345 \\ \text{MOE}=1.04762 \\ \text{MOE}=1.05\text{ (two decimal places)} \end{gathered}`

Hence, the margin of error, MOE, is 1.05 (two decimal places)