The student will compare and contrast empirical data and a theoretical distribution to determine if Terry Vogel's lap times fit a continuous distribution.
Directions:
Round the relative frequencies and probabilities to 4 decimal places. Carry all other decimal answers to 2 places.
Collect the data
Use the data from
Terri Vogel’s Log Book . Use a Stratified Sampling Method by Lap (Races 1 – 20) and a random number generator to pick 6 lap times from each stratum. Record the lap times below for Laps 2 – 7.
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Construct a histogram. Make 5 - 6 intervals. Sketch the graph using a ruler and pencil. Scale the axes.
Calculate the following.
$\overline{x}=$
$s=$
Draw a smooth curve through the tops of the bars of the histogram. Use 1 – 2 complete sentences to describe the general shape of the curve. (Keep it simple. Does the graph go straight across, does it have a V-shape, does it have a hump in the middle or at either end, etc.?)
Analyze the distribution
Using your sample mean, sample standard deviation, and histogram to help, what was the approximate theoretical distribution of the data?
$X$ ~
How does the histogram help you arrive at the approximate distribution?
Describe the data
Use the Data from the section titled "Collect the Data" to complete the following statements.
The IQR goes from __________ to __________.
IQR = __________. (IQR=Q3-Q1)
The 15th percentile is:
The 85th percentile is:
The median is:
The empirical probability that a randomly chosen lap time is more than 130 seconds =
Explain the meaning of the 85th percentile of this data.
Theoretical distribution
Using the theoretical distribution from the section titled "Analyse the Distribution" complete the following statements:
The IQR goes from __________ to __________.
IQR =
The 15th percentile is:
The 85th percentile is:
The median is:
The probability that a randomly chosen lap time is more than 130 seconds =
Explain the meaning of the 85th percentile of this distribution.
Discussion questions
Do the data from the section titled "Collect the Data" give a close approximation to the theoretical distibution in the section titled "Analyze the Distribution"? In complete sentences and comparing the result in the sections titled "Describe the Data" and "Theoretical Distribution", explain why or why not.
Questions & Answers
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
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
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
Source:
OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
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