Student Ratings on Century High School Lunch
Allen MacedaIsaac Avila
Brian PinedaPeriod 2
2011-2012
CA 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, 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.
HypothesisWe believe that the average rating for lunch at
Century will be 2 on a 1-5 scale.
Data CollectionWe collected data using the cluster sampling
method. Our only focus was on the senior class 2012 because they have the most experience eating this food.
A possible bias is asking somebody that doesn’t eat lunch at school.
Another possible bias is asking a person that’s vegan, that only eats salad and fruits.
DataRatings on School Lunch (scale of 1-5)2, 3, 3, 1, 2, 1, 2, 1, 1, 3, 2, 1, 3, 1, 2, 2, 2, 3, 1,
3, 2, 2, 1, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3
Histogram
1.251.75
2.252.75
3.253.75
4.25
0
5
10
15
20
25
Student Ratings for Centry High School Lunch
Mean Ratings for School Lunch (µ)
Cent
ry S
tude
nts
(N)
StatisticsEstimated through our survey the mean rating for Century’s school lunch is 2.05 of 5 with a standard deviation of 0.75
Confidence IntervalWe are 95% confident that the population mean question is between 1.8178~2.2822.
Hypothesis TestingHypothesis:
Test Statistics: P Value = 0.6733 > = 0.05
Conclusion: At 5% level of significance, we fail to reject the . There is enough evidence to support the claim.
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Error AnalysisOur sample mean is a 2.05 rating, and the 95%
confidence level for the population mean is between a 1.8 to 2.3 rating. The marginal error is about 1/2 or .5 of a rating.
Our sample error is caused by an unrepresented part of the population. Which can be either the people we skipped while surveying, as it was a cluster survey concentrated on the senior class of 2012. As well as students that where absent.
ConclusionWe believe that the average rating for lunch at
Century will be 2 on a 1-5 scale. Estimated through our survey the mean rating for Century’s school lunch is 2 of 5 with a standard deviation of 0.75. We are 95% confident that the population mean question is between 1.8178~2.2822. At 5% level of significance, we fail to reject the . There is enough evidence to support the claim.
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