110 likes | 198 Views
On average how many phones have you had since your first phone?. Jesus Guerrero Period 6 2011-2012. California Standards.
E N D
On average how many phones have you had since your first phone? Jesus Guerrero Period 6 2011-2012
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.
Hypothesis I believe that the average amount of phone students have had is 3 since their first one
Data Collection • Systematic, I asked every fourth person • I stood out by the lunch line asking every fourth person
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
Statistics • From my survey, student sample of phones mean is 3.075 phones with a standard deviation of 1.7742.
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
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.
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
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.