Question

Use the following information to answer the next two exercises: A quality control specialist for a restaurant chain takes a random sample of size 12 to check the amount of soda served in the 16 oz. serving size. The sample mean is 13.30 with a sample standard deviation of 1.55. Assume the underlying population is normally distributed

What is the error bound?

a. 0.87 b. 1.98 c. 0.99 d. 1.74

Short answer

By underlying population is normally distributed, the error bound is$0.99$

Step-by-step solution

Error bound

To find the error bound, find the difference of the bound of the interval and therefore the mean. If you are doing not know the sample mean, you'll find the error bound by calculating half the difference of the upper and lower bounds

Step: Find the error bound

The true population mean for the number of soda provided features a $95\%$confidence range of,

$\overline{x}=13.30$is that the sample mean, and $s=1.55$is that the standard sample deviation.

so, the error bound for this problem is,

$$\begin{gathered} EBM=14.29-\overline{x} \\ =\overline{x}-12.32 \\ =0.99 \end{gathered}$$