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This study explores the perception of food at Century High School by Centurians, with data collected from freshmen, sophomores, juniors, and seniors. The analysis includes mean rating, standard deviation, confidence interval, and hypothesis testing.
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What do centurians think of the food at century? On a scale 1 5 - Jessica Herrera Period 3 2013
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
Hypothesis We believe that most of centurians will rate the food a one.
25 freshmen 25 Sophomores 25 Juniors 25 Seniors Data Collection We clustered the centurians into separate grade levels(freshmen sophomores , juniors and seniors) and asked during school. Then stratified them into 25 centurians of each grade level.
One being the worst Five being the best data Freshmen: 1,1,2,1,4,3,2,3,1,2,3,1,1,3,3,4,2,2,2,2,2,2,3,2,3 Sophomores: 1,1,1,1,1,4,3,3,2,1,2,3,2,1,2,3,3,2,1,3,2,3,1,1,2 Juniors: 1,1,1,1,2,1,1,1,2,1,3,2,1,3,2,1,3,2,3,3,2,1,3,1,1 Seniors: 1,1,1,1,2,1,1,1,2,1,3,2,2,1,1,2,1,3,2,1,3,1,2,1,1
statistics From the survey, the mean of centurians scaling the food at century on a scale of 1-5 is 1.87 and the standard deviation is .8792 .
Confidence interval 95% confidence level Z interval (1.6977, 2.0423) We are 95% confident that the mean of students scaling the food at century on a scale 1-5 is between 1.69 ~ 2.04 .
Hypothesis testing 1. Hypothesis 2. Test Statistics Z- test P- value= 4.444 E-23 =0.05 0 At 5% level of significance we reject the there is not enough evidence to support the claim.
Error analysis • Our sample mean is 1.87 on a scale 1-5, and for the population mean is between 1.69 2.04 on a scale 1-5. • •Our sample errors : • having students absent, students not being truthful or they don’t eat the food at century.
conclusion We hypothesized that centurians would scale the food a one on a scale 1-5. In our survey of 100 centurians, we found that the mean was 1.87 with the standard deviation of .8792 . We conclude that the population mean is between 1.69 & 2.04 on a scale 1-5 with 95% confident.