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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

Imagine taking an SRS of 50M&M鈥�S. Make a graph showing a possible distribution of the sample data. Give the value of the appropriate statistic for this sample.

Tall girls According to the National Center for Health Statistics, the distribution of heights for 16-year-old females is modeled well by a Normal density curve with mean 渭=64inches and standard deviation 蟽=2.5inches. To see if this distribution applies at their high school, an AP Statistics class takes an SRS of 20of the 30016-year-old females at the school and measures their heights. What values of the sample mean x would be consistent with the population distribution being N(64,2.5)? To find out, we used Fathom software to simulate choosing 250SRSs of size n=20students from a population that is N(64,2.5). The figure below is a dotplot of the sample mean height x of the students in the sample.

(a) Is this the sampling distribution of x? Justify your answer.

(b) Describe the distribution. Are there any obvious outliers?

(c) Suppose that the average height of the 20girls in the class鈥檚 actual sample is x=64.7. What would you conclude about the population mean height Mfor the 16-year-old females at the school? Explain.

Larger sample Suppose that the blood cholesterol level of all men aged 20-34follows the Normal distribution with mean 渭=188milligrams per deciliter (mg/dl) and standard deviation 蟽=41mg/dl

(a) Choose an SRS of 100men from this population What is the sampling distribution of x?

(b) Find the probability that xestimates 渭within 卤3mg/dl. (This is the probability thatx炉takes a value between 185and191mg/dl.) Show your work.

(c) Choose an SRS of 1000men from this population. Now what is the probability that xfalls within卤3mg/dlof渭? show your wrok.in what sense is the large sample "better".

identify the population, the parameter, the sample, and the statistic in each setting

Unemployment Each month, the Current Population Survey interviews a random sample of individuals in about 55,000U.S. households. One of their goals is to estimate the national unemployment rate. In December 2009,10.0%of those interviewed were unemployed

IRS audits The Internal Revenue Service plans to examine an SRS of individual federal income tax returns from each state. One variable of interest is the proportion of returns claiming itemized deductions. The total number of tax returns in each state varies from over 15 million in California to about 240,000in Wyoming.

(a) Will the sampling variability of the sample proportion change from state to state if an SRS of 2000tax returns is selected in each state? Explain your answer.

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