Answer:
0.404
Explanation:
The calculation of confidence interval for the mean is shown below:-
Data provided in the question
Mean = 5.5
The Standard deviation for three values is 0.7
Since there is 95% of the confidence interval so the critical value is
[tex]t_{0.025.5} = 4.303\\[/tex]
Now
Margin error is
[tex]t_{0.025.5} = 4.303\times \frac{s}{\sqrt{n} }[/tex]
[tex]= 4.303\times \frac{0.7}{\sqrt{3} }[/tex]
= 1.74
Now,
The Standard error is
[tex]= \frac{s}{\sqrt{n} }[/tex]
[tex]= \frac{0.7}{\sqrt{3} }[/tex]
= 0.404
Hence, the confidence interval for the mean based is 0.404
