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Chapter 7: Q.4 (page 428)

For Exercises 1 to 4, identify the population, the parameter, the sample, and the statistic in each setting.

Gas prices How much do gasoline prices vary in a large city? To find out, a reporter records the price per gallon of regular unleaded gasoline at a random sample of 10gas stations in the city on the same day. The range (maximum-minimum) of the prices in the sample is 25cents

Short Answer

Expert verified

All stations of gasoline are the population.

10selected gas stations are the sample.

A topic that is being investigated is the parameter.

Range of the price which is 25 cents is the statistic.

Step by step solution

01

Given Information

What amount do gas costs differ in a for each gallon of customary unleaded fuel at an irregular example of 10corner stores in the city around the same time. The range (most extreme - least) of the costs in the example is 25pennies.

02

Explanation

The individuals that are studied are considered as the population. Here, all stations of gasoline are the population.

A sample is the subpart of the population that is studied to get the details about the population. Here, 10selected gas stations are the sample.

The parameter is the measure of the original population. Here, a topic that is being investigated is the parameter.

Statistic is the measure of the sample. Here, range of the price which is 25cents is the statistic.

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Most popular questions from this chapter

The Gallup Poll has decided to increase the size of its random sample of voters from about 1500people to about 4000people right before an election. The poll is designed to estimate the proportion of voters who favor a new law banning smoking in public buildings. The effect of this increase is to

(a) reduce the bias of the estimate.

(b) increase the bias of the estimate.

(c) reduce the variability of the estimate.

(d) increase the variability of the estimate.

(e) have no effect since the population size is the same

Doing homework Refer to Exercise 9.

(a) Make a graph of the population distribution given that there are 3000 students in the school. (Hint: What type of variable is being measured?)

(b) Sketch a possible graph of the distribution of sample data for the SRS of size 100 taken by the AP Statistics students.

You work for an advertising agency that is preparing a new television commercial to appeal to women. You have been asked to design an experiment to compare the effectiveness of three versions of the commercial. Each subject will be shown one of the three versions and then asked about her attitude toward the product. You think there may be large differences between women who are employed and those who are not. Because of these differences, you should use

(a) a block design, but not a matched pairs design

(b) a completely randomized design.

(c) a matched pairs design.

(d) a simple random sample.

(e) a stratified random sample.

ACT scores The composite scores of individual students on the ACT college entrance examination in 2009followed a Normal distribution with mean 21.1and standard deviation5.1

(a) What is the probability that a single student randomly chosen from all those taking the test scores 23or higher? Show your work.

(b) Now take an SRS of 50students Who took the fest. What is the probability that the mean score xof these students is 23or higher? Show your work

1) State whether it is a parameter or a statistic and (2)use appropriate notation to describe each

number; for example, p = 0.65.

Get your bearings A large container of ball bearings has mean diameter 2.5003 centimeters (cm). This is within the specifications for acceptance of the container by the purchaser. By chance, an inspector chooses 100 bearings from the container that have a mean diameter of 2.5009 cm. Because this is outside the

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