Answer:
[tex]MOE=\pm \ 1.41[/tex]
Step-by-step explanation:
-Given that [tex]\sigma=1.91, n=7[/tex]
-We determine the z-value corresponding to the 95% confidence level:
[tex]z_{\alpha/2}=z_{0.025}=1.96[/tex]
-The margin of error is the degree of error from the real value and is calculated as follows:
[tex]MOE=\pm z_{\alpha/2} (\frac{\sigma}{\sqrt{n}})\\\\=\pm z_{0.025}\times\frac{\sigma}{\sqrt{n}}\\\\=\pm 1.96\times \frac{1.91}{\sqrt{7}}\\\\=\pm 1.41[/tex]
Hence, the margin of error is [tex]\pm 1.41[/tex]
