Answer:
The correct answer is "(11.69, 29.11)".
Step-by-step explanation:
Given:
[tex]38 \ 36\ 35\ 27\ 15\ 13\ 12\ 10\ 9.6\ 8.4[/tex]
[tex]n=10[/tex]
As per the question,
Mean,
[tex]\bar x=20.40[/tex]
Standard deviation,
[tex]s=12.17[/tex]
or,
[tex]df=10-1[/tex]
[tex]=9[/tex]
For 95% confidence interval,
[tex]t^*=2.262[/tex]
hence,
The 95% confidence interval will be:
= [tex]\bar x \pm \ t^*\times \frac{s}{\sqrt{10} }[/tex]
By substituting the values, we get
= [tex]20.40 \pm 2.262\times \frac{12.17}{\sqrt{10} }[/tex]
= [tex](11.69, 29.11)[/tex]
