Chapter 1.2, Problem 59E

(a)

To determine

To construct:A stem plot for the 17 snickers fun size bars.

Explanation of Solution

Given:

The given data set is:

17.1, 17.4, 16.6, 17.4, 17.7, 17.1, 17.3, 17.7, 17.8, 19.2, 16.0, 15.9, 16.8, 16.5, 17.1, 16.7.

Graph:

Stem mean plot, it could be constructed as:

  $\begin{array}{l}15|9\\ 16|0,5,5,6,7,8\\ 17|1,1,1,3,4,4,7,7,8\\ 19|2\end{array}$

Interpretation:

It appears to be left skewed plot.

(b)

To determine

To conclude: The interesting feature does the graph reveal.

Answer to Problem 59E

The minimum and maximum value of the weight of 17 sinkers fun size bars are 15.9 and 19.2, respectively while the range is 3.3.

Explanation of Solution

As per the above step-plot, the plot for the given data set is left-skewed, therefore the mean should be less than median and mode.

The minimum and maximum value of the weight of 17 sinkers fun size bars are 15.9 and 19.2, respectively while the range is 3.3.

(c)

To determine

To compute:The proportion of candy bars in this sample weight less than advertised.

Explanation of Solution

Given:

It is given that advertised weight of a snickers fun size bar is 17 grams.

Calculation:

Since, there are 7 observations (r) those grams value are less than 17 grams while the total number of observations (n) is 17.

The proportion of candy bars in this sample weight less than advertised (p), can be calculated as:

  $\begin{array}{c}p=\frac{r}{n}\\ =\frac{7}{17}\\ =0.4118\end{array}$

Thus, the required proportion value is 0.4118.