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How many hours do you spend on Facebook a day?. Adriana Alejandre Diana Ruvalcaba Rosa Castro Period 2 2011-2012. California Standards.
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How many hours do you spend on Facebook a day? Adriana Alejandre Diana Ruvalcaba Rosa Castro Period 2 2011-2012
California Standards 8.0 Students organize and describe distributions of data by using a number of different methods , including frequency tables, histogram, standard line and bar graphs, stem-and leaf displays, scatter plots, and box-and-whisker 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. 18.0 Students determine the P-value for a statistic for a simple random sample from a normal distribution.
Hypothesis We believe that the population mean of how many hours do you spend on Facebook a day is 5 hours.
Data Collection • We collected data by using the cluster method by asking seniors in our lunch period and throughout the day. We each asked 14 seniors to get the total survey of 42 seniors.
Data • Length of commute (in hours) • 3, 2, 3, 6, 4, 1, 5, 2, 3, 4, 2, 2, 7, 3, 1, 8, 3, 1, 4, 2, 2, 3, 3, 2, 1, 2, 2, 3, 4, 3, 3, 4, 2, 5, 5, 4, 3, 2, 1, 2, 1, 3
Statistics • From our survey, student’s sample mean time is 3 hours with a sample standard deviation of 1.592 hours.
Confidence Interval • 95% Confident Interval • Z-Interval • (2.518,3.481) • We are 95% confident that the population mean of How many hours do you spend on Facebook a day is between 2.51 to 3.48 hours.
Hypothesis Testing • Claim: We believe that the population mean of how many hours do you spend on Facebook a day is 5 hours. • At 5% level of significance we reject the Ho. There is not enough evidence to support our claim (Hypothesis).
Error Analysis • Our sample mean is 2.5 to 3.4 hours. And the 95% confidence level for the population mean is between 2.518 to 3.481 hours. The marginal error is about 3 hours. • Our sample error is due to possible underrepresentation of the population. We might need to take more samples due to only asking seniors about how many hours they spend on Facebook a day.
Conclusion • We are 95% confident that the population mean of “How many hours do you spend on Facebook a day”, is between (2.518 to 3.481) hours. We test our initial hypothesis with 5% level of significance , and we confirm our hypothesis was incorrect.