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.
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?
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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
Discuss the differences between taste and flavor, including how other sensory inputs contribute to our perception of flavor.
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include:
1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body
the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature