Respuesta :
Answer:
1.297 liters
Step-by-step explanation:
Given : The quantity of soda consumed per week at a soda fountain is 34 liters, with a standard deviation of 5.8 liters.
To Find: If any 80 weeks were sampled randomly, what would be the margin of error of the sample mean?
Solution:
We will use z value at 95%
So, z = 1.96
Formula of margin of error = [tex]\frac{z \times \sigma}{\sqrt{n}}[/tex]
[tex]\sigma = 5.8[/tex]
[tex]n = 80[/tex]
Substitute the values in the formula
[tex]\frac{1.96 \times 5.8}{\sqrt{80}}[/tex]
[tex]1.297[/tex]
Hence the margin of error of the sample mean is 1.297 liters.
