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4.4.5 Journal_ Cell Phone Battery Life Harvard University MATH MATH E-102

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Scenario: Battery Life Instructions: View the video found on page 1 of this journal activity. Using the information provided in the video, answer the questions below. Show your work for all calculations The Journal is worth 20 points total. 1. Based on the info from the presentation: Which company do you think makes the longest-lasting (and better) cell phone? Explain your thinking. (1 point) Talkalot. Because the battery life is a deviation to 17 hours whereas chatlog comes to 16 hours. 2. Complete the table to summarize each student’s point of view: (2 points, 1 point for each) Student 1 He believes chatlongs has a longer battery life because of a 18 hour length. But talkalot has a higher deviation. Student 2 Talkalot lasts longer because the average time is longer than chatlongs by 2 hours. The student agrees to try out both phones to test and see which one is better. 3. a. Pick one of the two companies and sketch out a normal curve for it. Be sure to label it and use vertical lines to locate the mean and 1 standard deviation on either side of the mean. (2 points)

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Scenario: Battery Life



Instructions:

View the video found on page 1 of this journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations
The Journal is worth 20 points total.




1. Based on the info from the presentation:




Which company do you think makes the longest-lasting (and better) cell phone? Explain your thinking. (​1
point​​)



Talkalot. Because the battery life is a deviation to 17 hours whereas chatlog comes to 16 hours.

2. Complete the table to summarize each student’s point of view: (​2 points​​, 1 point for each)

He believes chatlongs has a longer battery life because of a 18 hour
length. But talkalot has a higher deviation.

Student 1



Talkalot lasts longer because the average time is longer than chatlongs
by 2 hours. The student agrees to try out both phones to test and see
which one is better.
Student 2



3. a. Pick one of the two companies and sketch out a normal curve for it. Be sure to label it and
use vertical lines to locate the mean and 1 standard deviation on either side of the mean. (​2
points​​)

, Talkalot 20 hours is the average- 3 hours deviation




b. What is the range of values for each company to be within 1 standard deviation? (​2 points​​)

Chatlong 16-20 hours

Talkalot 17 to 23 hours




c. What is the range for the 68-95-99.7 distribution? (​4 points​​)

There is a 68% chance of being with one standard deviation of the mean, 95% chance of
being within 2 standard deviations from the mean and there is a 99.7% chance of being
within three standard deviations from the mean.

For chatlong, you have a 68% chance of being in the range 16-20 hours, 95% chance of
being in the range 14-22 hours, and 99.7% chance of being in the range 12-24 hours.

For talk a lot you have a 68% chance of being in the range 17-23 hours, 95% chance of
being in the range 14-26 hours, and 99.7% chance of being in the range 11-29 hours.



d. It may not make sense for the company’s data to be represented by a normal distribution.
Look at the three graphs below represented by a curve and the ​x​-axis. Which one is not
possible? Why? (​1 point​​)

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