THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 39

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Of the 1400 colleges in the United States,370 have two-year schools and 1030 have four-year schools.In a random sample of 40 two-year schools,it was found that 10 of the schools do not have any faculty holding a Ph.D.degree.In an independent random sample of 60 four-year schools,it was found that only 6 of the schools do not have any faculty holding a Ph.D.degree.
-A city is divided into 50 geographic subdivisions.An estimate of the proportion of households in the city interested in a new lawn-care service was required.A random sample of three subdivisions contained 610,520,and 730 households,respectively.The households expressing interest in the service were 125,130,and 175,respectively.Find a 90% confidence interval for the proportion of all households in the city interested in the lawn-care service.

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Definitions:

Observations

Refers to the process of measuring or taking note of phenomena or data, usually as part of a scientific study or research.

Class Intervals

The range of values within which data points are grouped in frequency distribution, helping to organize data for analysis.

Histogram

A graphical representation of the distribution of numerical data through bars of varying heights, where each bar groups numbers into ranges.

Regional Managers

Individuals responsible for overseeing the operations, sales, and management of a company's branches in specific geographical areas.