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 four decimal places. Carry all other decimal answers to two places.
Collect the data
Use the data from
Appendix C . Use a stratified sampling method by lap (races 1 to 20) and a random number generator to pick six lap times from each stratum. Record the lap times below for laps two to seven.
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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:
= _______
s = _______
Draw a smooth curve through the tops of the bars of the histogram. Write one to two 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, and so on?)
Analyze the distribution
Using your sample mean, sample standard deviation, and histogram to help, what is 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 you collected to complete the following statements.
The
IQR goes from __________ to __________.
IQR = __________. (
IQR =
Q3 –
Q1 )
The 15
th percentile is _______.
The 85
th percentile is _______.
The median is _______.
The empirical probability that a randomly chosen lap time is more than 130 seconds is _______.
Explain the meaning of the 85
th percentile of this data.
Theoretical distribution
Using the theoretical distribution, complete the following statements. You should use a normal approximation based on your sample data.
The
IQR goes from __________ to __________.
IQR = _______.
The 15
th percentile is _______.
The 85
th percentile is _______.
The median is _______.
The probability that a randomly chosen lap time is more than 130 seconds is _______.
Explain the meaning of the 85
th percentile of this distribution.
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