This module provides a lab on Chi-Square Distribution as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
Class Time:
Names:
Student learning outcome:
The student will evaluate data collected to determine if they fit either the uniform or exponential distributions.
Collect the data
You may need to combine two
categories so that each cell has an expected value of at least 5.
Go to your local supermarket. Ask 30 people as they leave for the total amount on their grocery receipts. (Or, ask 3 cashiers for the last 10 amounts. Be sure to include the express lane, if it is open.)
Record the values.
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Construct a histogram of the data. Make 5 - 6 intervals. Sketch the graph using a ruler and pencil. Scale the axes.
Calculate the following:
$\overline{x}=$
$s=$
${s}^{2}=$
Uniform distribution
Test to see if grocery receipts follow the uniform distribution.
Using your lowest and highest values,
$X$ ~
$U\left(\text{\_\_\_\_\_\_\_,\_\_\_\_\_\_\_}\right)$
Divide the distribution above into fifths.
Calculate the following:
Lowest value =
20th percentile =
40th percentile =
60th percentile =
80th percentile =
Highest value =
For each fifth, count the observed number of receipts and record it. Then determine the expected number of receipts and record that.
Fifth
Observed
Expected
1st
2nd
3rd
4th
5th
${H}_{o}$ :
${H}_{a}$ :
What distribution should you use for a hypothesis test?
Why did you choose this distribution?
Calculate the test statistic.
Find the p-value.
Sketch a graph of the situation. Label and scale the x-axis. Shade the area corresponding to the
p-value.
State your decision.
State your conclusion in a complete sentence.
Exponential distribution
Test to see if grocery receipts follow the exponential distribution with decay
parameter
$\frac{1}{\overline{x}}$ .
Using
$\frac{1}{\overline{x}}$ as the decay parameter,
$X$ ~
$\text{Exp}\left(\text{\_\_\_\_\_\_\_}\right)$ .
Calculate the following:
Lowest value =
First quartile =
37th percentile =
Median =
63rd percentile =
3rd quartile =
Highest value =
For each cell, count the observed number of receipts and record it. Then determine the expected number of receipts and record that.
Cell
Observed
Expected
1st
2nd
3rd
4th
5th
6th
${H}_{o}$
${H}_{a}$
What distribution should you use for a hypothesis test?
Why did you choose this distribution?
Calculate the test statistic.
Find the p-value.
Sketch a graph of the situation. Label and scale the x-axis. Shade the area corresponding to the
p-value.
State your decision.
State your conclusion in a complete sentence.
Discussion questions
Did your data fit either distribution? If so, which?
In general, do you think it’s likely that data could fit more than one distribution? In complete sentences, explain why or why not.
Questions & Answers
where we get a research paper on Nano chemistry....?
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest.
Rafiq
Rafiq
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Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.?
How this robot is carried to required site of body cell.?
what will be the carrier material and how can be detected that correct delivery of drug is done
Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
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?
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1 It is estimated that 30% of all drivers have some kind of medical aid in South Africa. What is the probability that in a sample of 10 drivers: 3.1.1 Exactly 4 will have a medical aid. (8) 3.1.2 At least 2 will have a medical aid. (8) 3.1.3 More than 9 will have a medical aid.