The student will demonstrate and compare properties of the central limit theorem.
Note
This lab works best when sampling from several classes and combining data.
Collect the data
Count the change in your pocket. (Do not include bills.)
Randomly survey 30 classmates. Record the values of the change in
[link] .
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Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil. Scale the axes.
Calculate the following (
n = 1; surveying one person at a time):
= _______
s = _______
Draw a smooth curve through the tops of the bars of the histogram. Use one to two complete sentences to describe the general shape of the curve.
Collecting averages of pairs
Repeat steps one through five of the section
Collect the Data. with one exception. Instead of recording the change of 30 classmates, record the average change of 30 pairs.
Randomly survey 30
pairs of classmates.
Record the values of the average of their change in
[link] .
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Construct a histogram. Scale the axes using the same scaling you used for the section titled
Collect the Data . Sketch the graph using a ruler and a pencil.
Calculate the following (
n = 2; surveying two people at a time):
= _______
s = _______
Draw a smooth curve through tops of the bars of the histogram. Use one to two complete sentences to describe the general shape of the curve.
Collecting averages of groups of five
Repeat steps one through five (of the section titled
Collect the Data ) with one exception. Instead of recording the change of 30 classmates, record the average change of 30 groups of five.
Randomly survey 30
groups of five classmates.
Record the values of the average of their change.
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Construct a histogram. Scale the axes using the same scaling you used for the section titled
Collect the Data . Sketch the graph using a ruler and a pencil.
Calculate the following (
n = 5; surveying five people at a time):
= _______
s = _______
Draw a smooth curve through tops of the bars of the histogram. Use one to two complete sentences to describe the general shape of the curve.
Discussion questions
Why did the shape of the distribution of the data change, as
n changed? Use one to two complete sentences to explain what happened.
In the section titled
Collect the Data , what was the approximate distribution of the data?
X ~ _____(_____,_____)
In one to two complete sentences, explain any differences in your answers to the previous two questions.
Questions & Answers
A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?