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)

Centr

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tudents

(N

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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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