# 0.7 Confidence intervals: confidence interval lab i (edited:

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Labs changed to incorporate mini-tabs.

Class Time:

Name:

## Student learning outcomes:

• The student will calculate the 90% confidence interval for the average cost of a home in the area in which this school is located.
• The student will interpret confidence intervals.
• The student will examine the effects that changing conditions has on the confidence interval.

## Collect the data

Check the Real Estate section in your local newspaper or website. (Note: many papers only list them one day per week. Also, we will assume that homes come up for sale randomly.) Record thesales prices for 35 randomly selected homes recently listed in the county.

• Complete the table:  __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________ __________

## Describe the data

• Compute the following:
• ## A

$\overline{x}$ =
• ## B

${s}_{x}$ =
• ## C

$n$ =
• Define the Random Variable $\overline{X}$ , in words. $\overline{X}$ =
• State the estimated distribution to use. Use both words and symbols.

## Find the confidence interval

• Calculate the confidence interval and the error bound.
• ## A

Confidence Interval:
• ## B

Error Bound:
• How much area is in both tails (combined)? $\alpha$ =
• How much area is in each tail? $\frac{\alpha }{2}$ =
• Fill in the blanks on the graph with the area in each section. Then, fill in the number line with the upper and lower limits of the confidence interval and the sample mean.
• Some students think that a 90% confidence interval contains 90% of the data. Use the list of data on the first page and count how many of the data values lie within the confidence interval. What percent is this?Is this percent close to 90%? Explain why this percent should or should not be close to 90%.
• How many house prices would be needed in the sample to ensure that the error was no more than \$2000 for the 90% confidence interval?

## Describe the confidence interval

• In two to three complete sentences, explain what a Confidence Interval means (in general), as if you were talking to someone who has not taken statistics.
• In one to two complete sentences, explain what this Confidence Interval means for this particular study.

## Use the data to construct confidence intervals

• Using the above information, construct a confidence interval for each confidence level given.
Confidence level EBM / Error Bound Confidence Interval
50%
80%
95%
99%
• What happens to the EBM as the confidence level increases? Does the width of the confidence interval increase or decrease? Explain why this happens.

## Effect of an outlier

Suppose one of the values input incorrectly. Choose one data value and increase the amount by adding two extra zeroes.

• Calculate the 90% confidence interval: _____________
• Calculate the Error Bound: ____________
• How does the outlier effect the width of the confidence interval?

#### Questions & Answers

How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
How can I make nanorobot?
Lily
Do somebody tell me a best nano engineering book for beginners?
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
how can I make nanorobot?
Lily
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
how did you get the value of 2000N.What calculations are needed to arrive at it
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