Math  /  Data & Statistics

QuestionTo estimate the percentage of households in Connecticut which use fuel oil as a heating source, a researcher collects information from 1000 Connecticut households about what fuel is their heating source.
Match the following: e \rightarrow a household in Connecticut d \neq all households in Connecticut b ÷\div percentage of 1000 households in Connecticut that use fuel oil as a heating source cc \quad type of fuel used as heating source ff percentage of all households in Connecticut that use fuel oil as a heating source a 1000 households in Connecticut a. sample b. statistic c. variable d. population e. individual f. parameter
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Studdy Solution

STEP 1

What is this asking? We need to match terms like "sample" and "statistic" to parts of a research study about how people heat their homes in Connecticut. Watch out! It's easy to mix up similar-sounding terms like "statistic" and "parameter." A *statistic* describes a **sample**, while a *parameter* describes a **population**.

STEP 2

1. Match the terms.

STEP 3

Alright, let's **decode** this research project!
We've got a researcher trying to figure out how many homes in Connecticut use fuel oil for heat.
Think of it like trying to figure out the favorite ice cream flavor in your class, but instead of ice cream, it's heating fuel, and instead of your class, it's all the homes in Connecticut!

STEP 4

Let's start with *e*.
It says "a household in Connecticut." That's just one single home out of all the homes.
That's an **individual**, like one student in your class.
So, *e* matches with *a*.

STEP 5

Next up is *d*.
It says "all households in Connecticut." That's everyone we're interested in learning about!
That's the **population**, like your whole class.
So *d* doesn't match with *a*, which is just a small part of all the homes.

STEP 6

*b* says "percentage of 1000\text{1000} households in Connecticut that use fuel oil." We're looking at a piece of the whole, and calculating something about it.
That's a **statistic**!
So, *b* matches with *b*.
Remember, a statistic describes a sample.

STEP 7

*c* says "type of fuel used." That's what changes from house to house.
Some might use fuel oil, others might use gas, and some might even use solar power!
That's the **variable**, what we're measuring.
So, *c* matches with *c*.

STEP 8

*f* says "percentage of *all* households in Connecticut that use fuel oil." Notice the word "all." That means we're talking about the entire **population**, not just a sample.
A value that describes a population is called a **parameter**.
So, *f* matches with *f*.

STEP 9

Finally, *a* says "1000\text{1000} households in Connecticut." That's the group the researcher is actually looking at.
It's a smaller piece of the whole population.
That's our **sample**!
So *a* matches with *a*.

STEP 10

*e* matches with *a* (individual) *d* doesn't match with *a* (population) *b* matches with *b* (statistic) *c* matches with *c* (variable) *f* matches with *f* (parameter) *a* matches with *a* (sample)

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