What do Centurions think about our school spirit? Diana Tapia Period

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 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 Student determine the P-value for a statistic for a simple random sample from a normal distribution.

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

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.

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

Statistics From this survey, the mean average score for our school spirit is 1.91 with a sample standard deviation of.712

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

Hypothesis Testing At 5% level of significance, we fail to reject the. There is enough evidence to support the claim. Hypothesis Test Statistics

Error Analysis The sample mean is a rank of 1.91 and the 95% confidence level for the population mean rank is between ~ 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.

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 ~ I tested the hypothesis at a 95% level of confidence with a 5% level of significance, which resulted in proving the hypothesis true.