Question

What is the error bound?

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

Short answer

c.$0.99$

Step-by-step solution

Given information

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 $1.55$.

Explanation

The error bound Confidence interval is given by

$\overline{x}\pm Z\frac{s}{\sqrt{n}}$

We know that $\overline{x}=13.30;s=1.55;n=12;Confidenceinterval=95\%;Z-factor=1.959s$

Plugging the values in the above error bound equation we get

$$\begin{gathered} errorbound=13.30\pm 1.959\times 1.55\times \frac{1.55}{\sqrt{12}} \\ errorbound=0.99 \end{gathered}$$