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.
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
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.
because of fall of income, less will be demanded and much will be supply as a result of price rises. Rise in price always motivate new supplier to enter into the system. But it only possible in the short run
Kweku
yeah..
I think Ceteris Paribus is applied in this case
Gabriel
that is the law of Demand is Inversely related to the law of Supply...
so that mean a positive change in demand may produce a negative return to supply I think.
When the price is above the equilibrium, explain how market forces move the market price to equilibrium. Do the same when the price is below the equilibrium.
Gabriel
economic problems
Manishankar
yeah please Explain
Gabriel
I don't know this is my question
Manishankar
no it was a mistake...😂😂
can you explain how Wants and needs differs 😌
Gabriel
wants is what human desire but might not need them, human want are mostly articles of ostentatious
while need is what human must get to live e.g inferior goods
Ramon
what's equilibrium price
james
equilibrium prices is a situation whereby the price of goods supplied equates to the demand
Ariel
this whereby the prices of quality demanded is equivalent to quality demanded
NABUBOLO
wants are numerous desire man that man can do without if not purchased e.g. cosmetic
while need are desires that you cannot do without e.g. food
Franklyn
equilibrium price is that level of output were quantity demanded is equal to quantity supplied
Demand is the quantity of goods and services a consumer is willing and able to purchase at various prices over a given period of time.
Yaw
yea
SETHUAH
Okay congratulations I'll join you guys later .
Aj
yes
MUBARAK
demand is the quantity and quality of goods and services a consumer is willingly and able to purchase at a particular price over a given period of time.
If potatoes cost Jane $1 per kilogram and she has $5 that could possibly spend on potatoes or other items. If she feels that the first kilogram of potatoes is worth $1.50, the second kilogram is worth$1.14, the third is worth $1.05 and subsequent kilograms are worth $0.30, how many kilograms of potatoes will she purchase? What if she only had $2 to spend?
QI: (A) Asume the following cost data are for a purely competitive producer:
At a product price Of $56. will this firm produce in the short run? Why Why not? If it is preferable to produce, what will be the profit-maximizing Or loss-minimizing Output?
Explain. What economic profit or loss will the
While the American heart association suggests that meditation might be used in conjunction with more traditional treatments as a way to manage hypertension