IM Alg2.7.16 Lesson: Heart Rates

[table][tr][td][size=150]Find your heart rate. One way is to place your index and middle fingers on your neck just below the jaw to feel your heartbeat. Count the number of heartbeats you feel in 10 seconds. Multiply the value by 6 to find your heart rate in beats per minute (bpm).[/size][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br]Write the value for your heart rate in bpm. This will be used as your resting heart rate.
Take some deep breaths, close your eyes, and repeat the process. Write the value for your heart rate in bpm. Has your heart rate changed?[br]
Does counting while exercising affect your heart rate? Let’s perform an experiment to find out.
Your teacher will help divide you into two groups and lead the exercise. If you are selected to be in the group that will count during the exercise, count out loud together with your group while you do the exercise. If you are selected to be in the group that will remain silent during the exercise, remain quiet.[br]
Immediately following the exercise, measure your heart rate again. Count the number of beats in ten seconds and multiply the result by 6 to get your heart rate in beats per minute. Record this result. Find the difference in heart rate by subtracting your heart rate after exercise from the resting heart rate you found during the warm-up.[br]
Does the way you do an exercise affect your heart rate? Let’s perform an experiment to find out.
Your teacher will help divide you into two groups and lead the exercise. If you are selected to be in the group that will do jumping-jacks during the exercise, do the standard exercise using your arms and legs. If you are selected to be in the group that will only flap their arms, move your arms as in a jumping-jack, but do not jump or move your legs.[br]
Immediately following the exercise, measure your heart rate again. Count the number of beats in ten seconds and multiply the result by 6 to get your heart rate in beats per minute. Record this result. Find the difference in heart rate by subtracting your heart rate after exercise from the resting heart rate you found during the warm-up.[br]
[size=150]Using the data for the increase in heart rates, find the mean for each group.[/size]
[size=150]Find the difference between the means for the two groups by subtracting the mean for the first group from the mean for the second group. [/size][br]What does a positive value mean? [br]
What does a negative value mean?
Does the difference in means tell us that there is an effect on heart rate? If so, explain the connection. If not, what else could account for the difference in means?[br]
[size=100][size=150]Since the groups were divided using a random process, the only reasons there should be a difference in means is if the treatment had an affect or if it was due to the random assignment to groups. To rule out random assignment as the explanation for the observed difference, assume for a bit that the different treatments had no effect on the increase in heart rate. In this case, we could shuffle around some of the results from the two groups and still have a similar outcome. Let’s examine what happens when we do this randomization experiment.[/size][/size][br][br]Cut a sheet of paper into pieces so there are as many pieces as students in the class. Write the data from the experiment on the pieces so that each piece has one value on it.[br][br]Shuffle the pieces and select half of them to represent the first group. Give the other pieces to your partner to represent the second group.[br][br]If you do not have paper, you can use the applet below to record your class data and shuffle the numbers.[br]
Find the mean for each group and record the difference in the means by subtracting the mean for the first group from the mean for the second group.[br]
Repeat this process 4 more times so that you have recorded 5 differences in means from the randomization process.[br]
[size=100]Share your data with the class and examine the randomization distribution in the histogram of the difference in means. This distribution represents some of the differences that are possible due only to random assignment to experimental groups. Estimate the center of the distribution. [/size][br]What does this value mean in terms of heart rates for the two groups when reassigned at random?[br]
Does the difference for your class from the actual experiment represent a typical value for this distribution, or is it unusual?[br]

IM Alg2.7.16 Practice: Heart Rates

[size=150] A scientist compares methane levels on Mars at several locations, in parts per billion, taken at 2 different times during the Martian day. The difference between the means of the methane levels for the two different times is -0.08 parts per billion. The scientist uses simulations to create a randomization distribution to try to determine the likelihood that the results happened by chance. The histogram represents the results of the 200 trials from the simulations.[/size][br][br][img]data:image/png;base64,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[/img][br]According to the randomization distribution, is the difference in means due to chance or the time at which the measurements were made? Explain your reasoning.
[br][table][tr][td][img]data:image/png;base64,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[/img][br][/td][td][size=150]A biologist is studying the research question, [br]“Do eggs from the common gull, a type of bird, [br]take longer to hatch at 85 degrees Fahrenheit or at 87 degrees[br]Fahrenheit?” They design an experiment in which they select [br]20 eggs and assign those eggs to 2 groups of 10 eggs each [br]at random.[br][br]The eggs in the first group are placed in an environment [br]that is held at a constant temperature of 85 degrees Fahrenheit, [br]and the eggs in the second group are placed in an environment [br]that is held at a constant temperature of 87 degrees Fahrenheit. [br]The hatching times, in days, for each group are displayed [br]in the table.[br][br]The mean hatching time for group 1 is 25.8 days and [br]the mean hatching time for group 2 is 25.2 days.[/size][/td][/tr][/table][br]How could the biologist get a randomization distribution to compare the two groups?[br]
How would the biologist use the randomization distribution to determine whether the difference between the mean hatching time for group 1 and the mean hatching time for group 2 is due to chance?[br]
[size=150]Diego rolls a standard number cube 10 times and adds the values to get a sum of 40. Is that unusually high? Priya simulates rolling the number cube 10 times on a computer and adds the values. She repeats that process 100 times and creates a histogram of the results.[/size][br][br][img]data:image/png;base64,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[/img][br]Based on the histogram, does 40 seem unusually high? Explain your reasoning.[br]
[size=100]The mean of Priya’s simulations is a sum of 35, and the standard deviation is 5.72. [/size][br]Using a normal distribution as an approximation of this distribution, what is the probability that a person would roll a sum greater than 40?[br]
[size=150]Why do we use randomization distributions?[/size]
Which of these values would be most useful for determining whether the difference in means is likely due to the treatment? Explain your reasoning.[list][*]interquartile range[/*][*]median[/*][*]standard deviation[/*][*]range[/*][/list]
A distribution is approximately normal with a mean of 70 and a standard deviation of 10. Match the interval with the approximate percentage of data that falls within that interval.

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