Answer:
34.2022 < X < 39.7978
Step-by-step explanation:
For a 95% confidence interval, Z = 1.960
Sample size (n) = 33
Mean weight (X) = 37 ounces
Standard deviation (s) = 8.2 ounces
The relationship that describes a 95% confidence interval is:
[tex]X \pm 1.960*\frac{s}{\sqrt{n}}[/tex]
Applying the given data, the Lower (L) and Upper (U) limits are:
[tex]U=37 + 1.960*\frac{8.2}{\sqrt{33}} \\U=39.7978\\L=37 - 1.960*\frac{8.2}{\sqrt{33}} \\L=34.2022[/tex]
The 95% confidence interval is:
34.2022 < X < 39.7978
