23. Withholding Treatment. Several years ago, a poll by Gallit asked 1528 adults the following question: "The New Jersey Suprem: Court recently ruled that all life-sustaining medical treatment may b. withheld or withdrawn from terminally ill patients, provided that is what the patients want or would want if they were able to express their wishes. Would you like to see such a ruling in the state in which you live, or not?" The data on the WeissStats site give the responses by opinion and educational level. Use the technology of your choice to decide, at the 1 % significance level, whether the data provide sufficient evidence to conclude that opinion on this issue and educational level are associated.

The statistics for the number of busy tellers seen during 25 spot inspections is provided. The information is provided below.

(a)

Single-value grouping:

To group quantitative data, utilise single-value classes in which each class represents a single potential value; this approach of grouping quantitative data is referred to as single-value grouping.

The classes are grouped for the number of busy tellers seen during 25 spot checks using the single grouping method: 0,1,2,3,4,5, and 6.

The frequency distribution for the number of busy tellers observed during 25 spot inspections must be constructed.

Below is the frequency distribution for the number of busy tellers observed during 25 spot checks.

As a result, the number of busy tellers seen throughout 25 spot checks is 1, 2, 2,4,5,7, and 4 times.

The relative frequency distribution for the number of busy tellers observed throughout 25 spot inspections must be constructed.

The number of busy tellers seen throughout 25 spot inspections is represented by the relative frequency distribution shown below.

0.04, 0.08,0.08,0.16,0.20,0.28, and 0.16 are the relative frequencies for the number of busy tellers seen throughout 25 spot checks.

(b)

For the number of busy tellers, we must create a relative frequency histogram.

The frequency histogram above has a relative frequency histogram, which is shown below.

(c)

The form of the distribution of the number of busy tellers seen during 25 spot checks is left skewed, as seen in the relative frequency histogram above. As a result, the number of busy tellers data set follows a normal distribution.

(d)

The number of busy tellers distribution is left skewed, as the form of the relative frequency histogram suggests the left tail is longer than the right tail.

(e)

For the number of busy tellers seen throughout 25 spot inspections, we must create a dot plot.

The dot plot representing the number of busy tellers was created using Minitab software.

(f)

The data for the number of busy tellers follows a left skewed distribution, as seen by the diagrams, relative frequency diagram, and dot plot.