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The quantity of soda consumed per week at a soda fountain is 34 liters, with a standard deviation of 5.8 liters. If any 80 weeks were sampled randomly, what would be the margin of error of the sample mean?

A1.944 liters
B1.297 liters
C0.994 liters
D0.648 liters

Verified Answer :

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 = \(\frac{z \times \sigma}{\sqrt{n}}\)

\(\sigma = 5.8\)

\(n = 80\)

Substitute the values in the formula

\(\frac{1.96 \times 5.8}{\sqrt{80}}\)

\(1.297\)

Hence the margin of error of the sample mean is 1.297 liters.

Answer:

1.297 liters

Step-by-step explanation:

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