Chapter ISG, Problem 10.4.1P

a.

To determine

To find: If the two packages of pasta likely have the same advertised weight and to find out the manufacturer whose quality control appears better.

Answer to Problem 10.4.1P

It is very much likely that both packages of pasta have the same advertised weight, Rafaello Pasta’s quantity control appears better.

Explanation of Solution

Given Information: Two relevant histograms.

Analyzing the two histograms,

In histogram of Cucina Leonardo, the data is widely dispersed but the data is concentrated around $220-230$ with highest frequency going up to $40$ , in Rafaello Pasta’s histogram data is also concentrated around $220-230$ with highest frequency of near about $58$ . It is very much likely that both packages of pasta have the same advertised weight.

Rafaello Pasta’s quantity control appears better because data lies around $210-245$ which is tighter as compared to the range of Cucina Leonardo $200to250$ , moreover, Rafaello Pasta’s data is more frequent (near about $58$ ) around median.

Thus, it is very much likely that both packages of pasta have the same advertised weight, Rafaello Pasta’s quantity control appears better.

b.

To determine

To infer: The two population distribution shapes by sketching smooth curves across the tops of the histograms and describe the shapes.

Answer to Problem 10.4.1P

Result is bell shaped formation, this implies that distribution is symmetric.

Explanation of Solution

Given Information: Two relevant histograms.

Sketch:

Sketching smooth curves across the tops of histograms,

  

Both result in bell shaped formation, this implies that distribution is symmetric and most of the data is clustered around a center and as one moves away from center frequency keeps on decreasing. In this case, center is the advertised weight and other data values are a result of negligence during preparation and filling pasta in packages.

Thus, result is bell shaped formation, this implies that distribution is symmetric.