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Chapter 12: Q.15 (page 521)

Hospitals. From data in Hospital Statistics, published by the American Hospital Association, we obtained the following contingency table for U.S. hospitals and nursing homes by type of facility and type of control. We used the abbreviations Gov for Government, Prop for Proprietary, and NP for nonprofit.
CONTROL

Gov Prop NP Total
General 1697 660 3046 5403
Psychiatric 266 358 113 737
Chronic 21 1 4 26
Tuberculosis 3 0 1 4
Other 59 148 203 410
Total 2046 1167 3367 6580

Short Answer

Expert verified

A symmetric distribution is defined as one whose shape can be broken into two portions, one of which is the mirror image of the other.

Step by step solution

01

Given Information

Draw a smooth curve to represent a symmetric trimodal distribution: the distribution is trimodal if the curve has three peaks. A symmetric distribution has two portions, one of which is the mirror image of the other.

02

Definition

Smooth curve representing symmetric trimodal distribution

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Most popular questions from this chapter

Job Satisfaction. A CNN/USA TODAY poll conducted by Gallul asked a sample of employed Americans the following question: "Which do you enjoy more, the hours when you are on your job, or the hours when you are not on your job?" The responses to this question were cross-tabulated against several characteristics, among which were gender, age, type of community, educational attainment, income, and type of employer. The data are provided on the WeissStats site. In each of Exercises 12.87-12.92, use the technology of your choice to decide, at the 5% significance level, whether an association exists between the specified pair of variables.

Gender and response

12.51 Farms. The U.S. Department of Agriculture publishes information about U.S. farms in Census of Agriculture. A joint frequency distribution for number of farms, by acreage and tenure of operator, is provided in the following contingency table. Frequencies are in

	Full owner	Part owner	Tenant	Total
Under 50		70	44
50-179	492	130	38	660
180-499	198			368
500-999	51	84	14	149
1000& over	41	114	17	172
Total	1521	541

a. Fill in the six missing entries.

b. How many cells does this contingency table have?

c. How many farms have under 50 acres?

d. How many farms are tenant operated?

e. How many farms are operated by part owners and have between 500 acres and 999 acres, inclusive?

f. How many farms are not full-owner operated?

g. How many tenant-operated farms have 180 acres or more?

The $t$ -table has entries for areas of $0.10, 0.05, 0.025, 0.01$ and $0.005$ . In contrast, the $χ^{2}$ -table has entries for those areas and for $0.995, 0.99, 0.975, 0.95$ and $0.90 .$ Explain why the $t$ -values corresponding to these additional areas can be obtained from the existing $t$ -table but must be provided explicitly in the $χ^{2}$ -table.

Scoliosis is a condition involving curvature of the spine. In a study by A. Nachemson and L. Peterson, reported in the Journal of Bone and Joing Surgery, $286$ girls aged $10$ to $15$ years were followed to determine the effects of observation only ( $129$ patients), an underarm plastic brace ( $111$ patients), and nighttime surface electrical stimulation ( $46$ patients). A treatment was deemed to have failed if the curvature of the spine increased by 6 on two successive examinations. The following table summarizes the results obtained by the researchers.

At the $5 %$ significance level, do the data provide sufficient evidence to conclude that a difference in failure rate exists among the three types of treatments?

How do you identify different chi-square distributions?

See all solutions

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