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What do Centurions think about our school spirit? Diana Tapia Period 3 2012-2013
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California Standards 8.0 Student organized and describe distribution of data by using of different methods, including frequency table, histogram, standard line and bar graphs, stem-and-leaf displays, scatter plots, and box of whisker plots. 17.0 Students determine confidence interval 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 Student determine the P-value for a statistic for a simple random sample from a normal distribution.
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Hypothesis During this experiment, I believe the Century students will rank our school spirit between a 1 and a 2 (1 being poor and 2 being below average). Scale: 1- Poor 2- Below average 3- Average 4- Satisfactory 5- Excellent
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Data Collection I collected the data based on a stratified sampling method of collecting data. I asked all grade levels, asking 25 members from each grade before school or after school.
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Data How Century students rank our school spirit (1-5 scale) 1,2,1,2,3,3,3,3,3,3,3,2,1,2,3,2,1,1,1,1,1,2,2,2,2,2,2,2,3,3,1,1, 1,1,1,1,2,2,2,1,3,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,2,2, 2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,2,2,2,3,1,1,2,2,2,1,1,2,2,1,2,1, 2,1,2,2,2
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Statistics From this survey, the mean average score for our school spirit is 1.91 with a sample standard deviation of.712
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Confidence Interval 95% Confidence Interval Z-Interval (1.7705~2.0495) We are 95% confident the mean rank Century students give for our school spirit is between 1.77 & 2.04
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Hypothesis Testing At 5% level of significance, we fail to reject the. There is enough evidence to support the claim. Hypothesis Test Statistics
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Error Analysis The sample mean is a rank of 1.91 and the 95% confidence level for the population mean rank is between 1.7705~2.0495. This sample error is due to the different students that were asked. Not all students have attended Century for more than a semester and some might have been absent.
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Conclusion I created a hypothesis based on what Century students thought about our school spirit and where it ranked. I set out looking for a rank between 1 and 2 then I surveyed 100 students. The sample rank is at 1.9 with a standard deviation set at.7120 and a population mean score lying between 1.7705~2.0495. I tested the hypothesis at a 95% level of confidence with a 5% level of significance, which resulted in proving the hypothesis true.
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