4.4.5Journal:Cell Phone Battery Life

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Based on the info from the presentation: Which company do you think makes the longest-lasting (and better) cell phone? Explain your thinking. I think Talk-a-lot makes the better cell phone because ... once you put the standard deviation it turns to 17 hours while chatlog turns to 16 hours. 2. Complete the table to summarize each student's point of view: Student 1 Believes that chatlog has a longer battery power life because of the 18 hour length and that talk-a-lot has a higher standard deviation. Student 2 Believes that talk-a-lot lasts longer because the average time is longer than chat logs by 2 hours. 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. b. What is the range of values for each company to be within 1 standard deviation? Chatlog= 16-20 hours Talk-a-lot= 17-23 hours c. What is the range for the 68-95-99.7 distribution? There is approximately a 68% chance of being within one standard deviation of the mean, 95% chance of being within two standard deviations from the mean, and a 99.7% chance of being within three standard deviations away from the mean. So, for chatlog, you have a 68% chance of being in the range of 16-20 hours, 95% chance of being in the range of 14-22 hours, and a 99.7% chance of being in the range of 12-24 hours. For talk-a-lot, you will have a 68% chance of being in the range of 17-23 hours, 95% chance of being in the range 14-26 hours, and a 99.7% chance of being in the range of 11-29 hours. This study source was downloaded by 100000849927608 from CourseHero.com on 07-19-2022 at 15:38:23 GMT -05:00 https://www.coursehero.com/file/66876067/445-journal-for-mathdocx/Layne Hawkins 4/28/20 Algebra 2 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? The first graph is not possible because all the information was very close together and the first graph shows that they were far apart at first and then started to increase after a while. 4. The students each buy one cell phone and perform their own experiments to wear out the batteries. a. Based on their sample data, which of the cell phones is better? The sample data shows that both phones are equal and neither one is better or worse. b. In order to properly compare the data, calculate the z-scores for each sample data point. Chatlog Z=(20-18)/2Z=1 Talk-a-lot Z=(20-20)/3Z=0 c. Use a statistical calculator or a standard normal chart to find the percentile for each z-score you found in part b above. Two-sided chatlog: 68.2689 Two-sided talk-a-lot: 0 d. Now who do you think got the better cell phone (with longer battery life) and why? Because of the Z score of 0 which means it is exact to the mean and having a mean with a deviation of 3 hours from 20 hours is better. So this makes talk-a-lot the better phone. 5. a. Is it problematic to decide that one company is better than another based solely on the students' sample data? Explain. Yes it is problematic because not all technology works the same, there could be margin errors, and they only conducted one experiment. b. How would you improve the students' experiment if you were going to conduct it yourself? I would use at least 5 phones from each provider with 5 different test subjects using their phones and documenting the usage. Then I would use the data to see the calculations and compare the students' data with the data collected from the first trial. [Show More]

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