Students investigating the packaging of potato chips purchased 6 bags of Lay's Ruffles marked with a net weight of 28.3 grams. They carefully weighed the contents of each bag, recording the following weights (in grams): 29.3, 28.2, 29.1, 28.7, 28.9, 28.5.

Explain in context what your interval means.

Solution

VerifiedGiven:

$\begin{align*} n&=\text{Sample size}=6 \\ c&=\text{Confidence level}=95\%=0.95 \end{align*}$

### Descriptive measures

The mean is the sum of all values divided by the number of values:

$\overline{x}=\dfrac{29.3+28.2+29.1+28.7+28.9+28.5}{6}=\dfrac{172.7}{6}\approx 28.7833$

$n$ is the number of values in the data set.

$n=6$

The variance is the sum of squared deviations from the mean divided by $n-1$. The standard deviation is the square root of the variance:

$s=\sqrt{\dfrac{(29.3-28.7833)^2+....+(28.5-28.7833)^2}{6-1}}\approx 0.4021$

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