/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 7 The supervisors of a rural count... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

The supervisors of a rural county are interested in the proportion of property owners who support the construction of a sewer system. Because it is too costly to contact all 7000 property owners, a survey of 500 owners (selected at random) is undertaken. Describe the population and sample for this problem.

Short Answer

Expert verified
In the context of this problem, the population is the entire group of 7000 property owners in the rural county. The sample is a subset of this population and it includes 500 property owners who were chosen randomly to participate in the survey.

Step by step solution

01

Defining the Population

In statistical terms, the population refers to the whole set of items or people one is interested in. For this particular case, the population is all the property owners in the rural county. This is stated in the problem, and it's given to be 7000 property owners.
02

Defining the Sample

The sample, on the other hand, is the sub-group or subset of the population that is chosen for the study. In this case, the sample is the 500 property owners who were selected at random to be part of the survey.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A consumer group conducts crash tests of new model cars. To determine the severity of damage to 2010 Toyota Camrys resulting from a 10 -mph crash into a concrete wall, the research group tests six cars of this type and assesses the amount of damage. Describe the population and sample for this problem.

Heal the Bay is an environmental organization that releases an annual beach report card based on water quality (Heal the Bay Beach Report Card. May 2009). The 2009 ratings for 14 beaches in San Francisco County during wet weather were: \(\mathrm{A}+\mathrm{C} \mathrm{B} \mathrm{A} \mathrm{A}+\mathrm{A}+\mathrm{A} \mathrm{A}+\mathrm{B} \mathrm{D} \mathrm{C} \mathrm{D} \mathrm{F}_{-} \mathrm{E}\) a. Would it be appropriate to display the ratings data using a dotplot? Explain why or why not. b. Summarize the wet weather ratings by constructing a relative frequency distribution and a bar chart. c. The dry weather ratings for these same beaches were: \(\begin{array}{lllllllllll}\mathrm{A} & \mathrm{B} & \mathrm{B} & \mathrm{A}+ & \mathrm{A} & \mathrm{F} & \mathrm{A} & \mathrm{A} & \mathrm{A} & \mathrm{A} & \mathrm{A} & \mathrm{A} & \mathrm{B} & \mathrm{A}\end{array}\) Construct a bar graph for the dry weather ratings. d. Do the bar graphs from parts (b) and (c) support the statement that beach water quality tends to be better in dry weather conditions? Explain.

The report "Testing the Waters \(2009^{\prime \prime}\) (www nrdcorg) included information on the water quality at the 82 most popular swimming beaches in California. Thirty-eight of these beaches are in Los Angeles County. For each beach, water quality was tested weekly and the data below are the percent of the tests in 2008 that failed to meet water quality standards. Los Angeles County \(\begin{array}{llllllllll}32 & 4 & 6 & 4 & 4 & 7 & 4 & 27 & 19 & 23\end{array}\) \(\begin{array}{lll}7 & 4 & 27\end{array}\) \(\begin{array}{rrrr}6 & 4 & 4 & 7 \\\ 11 & 19 & 9 & 11\end{array}\) \(\begin{array}{rr}32 & 4 \\ 19 & 13\end{array}\) \(\begin{array}{llllllllll}19 & 13 & 11 & 19 & 9 & 11 & 16 & 23 & 19 & 16\end{array}\) \(\begin{array}{llllllllll}33 & 12 & 29 & 3 & 11 & 6 & 22 & 18 & 31 & 43\end{array}\) \(\begin{array}{llllllll}17 & 26 & 17 & 20 & 10 & 6 & 14 & 11\end{array}\) Other Counties 0 0 0 \(2 \quad 3\) 7 511 \(5 \quad 7\) \(\begin{array}{lllllll}15 & 8 & 1 & 5 & 0 & 5 & 4\end{array}\) 1 0 0 5 \(\begin{array}{lllllll}1 & 0 & 2 & 7 & 0 & 2 & 2\end{array}\) 3 3 \(\begin{array}{lllllllll}0 & 8 & 8 & 8 & 0 & 0 & 17 & 4 & 3\end{array}\) : \(\begin{array}{lll}10 & 40 & 3\end{array}\) a. Construct a dotplot of the percent of tests failing to meet water quality standards for the Los Angeles County beaches. Write a few sentences describing any interesting features of the dotplot. b. Construct a dotplot of the percent of tests failing to meet water quality standards for the beaches in other counties. Write a few sentences describing any interesting features of the dotplot. c. Based on the two dotplots from Parts (a) and (b), describe how the percent of tests that fail to meet water quality standards for beaches in Los Angeles county differs from those of other counties.

The newspaper article "Spray Away Flu" (Omaha World-Herald. June 8,1998 ) reported on a study of the effectiveness of a new flu vaccine that is administered by nasal spray rather than by injection. The article states that the "researchers gave the spray to 1070 healthy children, 15 months to 6 years old, before the flu season two winters ago. One percent developed confirmed influenza, compared with \(18 \%\) of the 532 children who received a placebo. And only one vaccinated child developed an ear infection after coming down with influenza. ... Typically \(30 \%\) to \(40 \%\) of children with influenza later develop an ear infection." The researchers concluded that the nasal flu vaccine was effective in reducing the incidence of flu and also in reducing the number of children with flu who subsequently develop ear infections. a. What were the researchers trying to learn? What questions motivated their research? b. Do you think that the study was conducted in a reasonable way? What additional information would you want in order to evaluate this study?

Give a brief definition of the terms descriptive statistics and inferential statistics.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.