what do centurions think about our school spirit? diana tapia period 3 2012-2013
TRANSCRIPT
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What do Centurions think about our school
spirit?
Diana TapiaPeriod 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
91.1:
)(91.1:0
HH
a
claim
05.09999.0 valuep
testz
H 0
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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.