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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


GovPropNPTotal
General169766030465403
Psychiatric266358113737
Chronic211426
Tuberculosis3014
Other59148203410
Total2046116733676580

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.

Educational attainment and response

US. Hospitals. Refer to Exercise 12.50.


24 or fewer25-7475 or moreTotal
General260158635575403
Psychiatric24242471737
Chronic132226
Tuberculosis0224
Other25177208410
Total310201042606580

a. Determine the conditional distribution of number of beds within each facility type.

b. Does an association exist between facility type and number of beds for U.S. hospitals? Explain your answer.

c. Determine the marginal distribution of number of beds for U.S. hospitals.

d. Construct a segmented bar graph for the conditional distributions and marginal distribution of number of beds. Interpret the graph in light of your answer to part (b),

e. Without doing any further calculations, respond true or false to the following statement and explain your answer. "The conditional distributions of facility type within number-of-beds categories are identical.

f. Determine the marginal distribution of facility type and the conditional distributions of facility type within number-of-beds categories.

g. What percentage of hospitals are general facilities?

h. What percentage of hospitals that have at least 75 beds are general facilities?

i. What percentage of general facilities have at least 75 beds?

School Enrollment. The Current Population Survey from the

U.S. Census Bureau provides data on school enrollment. The following contingency table shows school enrollment below postsecondary, in thousands, by level and gender.


MaleFemaleTotal
Nursery2,3312,3774,708
Kindergarten
1,997
Elementary16,50415,734
High School8,383
16,446
Total29,363

How many prisoners a. are in state facilities?

a. have at least a college education?

b. are in federal facilities and have at most an 8th-grade education?

c. are in federal facilities or have at most an 8th-grade education?

d. in local facilities have a postsecondary educational attainment?

e. who have a postsecondary educational attainment are in local facilities?

f. are not in federal facilities?

In each of exeercises 12.57-12.59, use the technology of your choice to solve the specified problems.

The National Governors Association publishes information on U.S Governors in Governors' Political Afflitiation and Term of Office. Based on that document we obtain the data on region of reidence an political party given on WeissStats site.

a. Group the bivariate data for these two variables into a contingency table.
b. Determine the conditional distribution of region within each party and the marginal distribution of region.
c. Determine the conditional distribution of party within each region and the marginal distribution of party.
d. Are the variables "region" and "party" for U.S. governors associated? Explain your answer.

In each of the given Exercises, we have given the number of possible values for two variables of a population. For each exercise, determine the maximum number of expected frequencies that can be less than 5 in order that Assumption 2 of Procedure 12.2 on page 506 to be satisfied. Note: The number of cells for a contingency table with m rows and n columns is m⋅n.

12.69 four and five
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