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On average how many phones have you had since your first phone? Jesus Guerrero Period 6 2011-2012
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California Standards 8.0 Students organize and describe distributions of data by using a number of different methods, including frequency tables, histograms, standard line and bar graphs, stem-and-leaf displays, scatterplots, and box-and-plots. 17.0 Students determine confidence intervals for a simple random sample from a normal distribution of data and determine the sample size required for a desired margin of error. 18.0students determine the P-value for a statistic for a simple random sample from a normal distribution.
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Hypothesis I believe that the average amount of phone students have had is 3 since their first one
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Data Collection Systematic, I asked every fourth person I stood out by the lunch line asking every fourth person
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Data Number of phones 3, 7, 4, 1, 2, 5, 3, 3, 2, 2, 2, 3, 6, 6, 2, 1, 3, 4, 7, 2, 5, 4, 8, 2, 2, 2, 2, 1, 3, 2, 2, 3, 2, 1, 2, 3, 4, 1, 4, 2
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Statistics From my survey, student sample of phones mean is 3.075 phones with a standard deviation of 1.7742.
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Confidence Interval 95% interval confidence interval Z-Interval (2.5321,3.1679) I am 95% confident that the average number of phones that a student at century has had is between 2.5321~3.6179
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Hypothesis Testing I believe that the average number of phones is three P-Value:.7865> 0.05 At 5% level of significance I failed to reject the. There is enough evidence to support my claim.
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Error Analysis My sample mean is 3.1, and the 95% confidence level for the population mean is between 2.5321-3.1679. The marginal error is 0.5429. My sample error is due to under- representation of the population. We might need to take more samples due to some students not having the same lunch as me, or people not getting lunch
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Conclusion My hypothesis is that the average phones Century students have had in their whole life time since their first phone is 3. In my survey of 40 students, I found the sample mean of 3.075 with a standard deviation of 1.7742 phones. I conclude that the population mean for all Centurions is between 2.5321 to3.6179 phones with a 95% confidence. I test my initial hypothesis with a 5% level of significance, and confirmed my hypothesis is correct.
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