Chapter 1.1, Problem 19E

(a)

To determine

To find: the number of coffee filter buyers which is made of recycled papers.

Answer to Problem 19E

Table describes 133 people and out of 133, 36 were buyers of coffee filters made of recycle paper.

Explanation of Solution

Given:

  

Calculation:

The number of buyers and non-buyers are

  $20+7+9+29+25+43=133$

The number of buyers is

  $20+7+9=36$

Table describes total 133 people. Out of 133, 36 were buyers of coffee filters made of recycle paper.

Conclusion:

Therefore,table describes total 133 people. Out of 133, 36 were buyers of coffee filters made of recycle paper.

(b)

To determine

To give: the marginal distribution and the percent of consumers thinking the quality of the recycled product is the same or higher than the quality of other filters.

Answer to Problem 19E

Over 60.90% of the individuals think the quality of the recycled product is the same or higher than the quality of other filters.

Explanation of Solution

Formula Used:

Marginal Distribution Percentage:

  $\frac{\text{Row Total}}{\text{Table Total}}\times 100$

Calculation:

The marginal distribution of opinion about the quality of recycled filters in shown in table below:

Marginal Distribution Percentage:

  $\frac{\text{Row Total}}{\text{Table Total}}\times 100$

Table Total=133

Marginal Distribution Table
Opinion	Buyers	Non Buyers	Row Total	Percent
Higher	20	29	49	$\frac{49}{133}\times 100$	36.8%
The same	7	25	32	$\frac{32}{133}\times 100$	24.1%
Lower	9	43	52	$\frac{52}{133}\times 100$	39.1%
Total	36	97	133

Over 60.90% (36.8% + 24.1%) of those who responded think the quality of the recycled product is the same or higher than the quality of other filters.

Conclusion:

Therefore, 60.90% of the individuals think the quality of the recycled product is the same or higher than the quality of other filters.