FROM A SCALE OF 1 -5 , RATE HOW MUCH YOU LIKE PASTA?

Pasta

Andrea UngAlejandra TejedaJasmine Seoane Patty Tiempos

Period 1

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

HypothesisWe believe that the average rate for

Century students who like pasta is 4.

Data CollectionThe sampling technique we used was

Stratified sampling. The 4 of us sampled 25 seniors, 25 juniors, 25 sophomores, and 25 freshmen during class and during 2nd lunch.

DataRate for Pasta (scale of 1-5) 1 being the worst

and 5 being the bestFreshman:

4,4,3,4,2,5,4,3,3,3,4,3,3,2,4,3,4,4,3,4,4,3,2,3,4Sophomores:

3,4,4,4,3,3,3,3,4,3,4,4,5,4,4,3,3,4,4,3,5,3,4,4,4Juniors:

4,4,4,3,3,4,4,3,3,4,3,4,3,4,2,3,4,4,4,4,4,2,4,5,5Seniors:

4,4,4,3,3,4,3,4,3,4,4,3,4,4,4,2,5,4,4,4,4,3,5,5,4

StatisticsFrom our survey, the sample mean is 3.65

with a sample standard deviation of 0.72.

Confidence Interval95% Confidence IntervalZ-Interval(3.5089 – 3.7911)We are 95% confident the population mean

rate for people who like pasta is between 3.5 and 3.8.

Hypothesis TestingHypothesis

Test Statistics

At 5% level of significance, we reject . We do not have enough evidence to support the claim

4:)(4:0

aHclaimH

05.000000117.

valueptestz

oH

Error AnalysisOur sample mean is 3.65, and the 95%

confidence level for the population mean is between 3.5 to 3.8.

Our sample error is due to one of our group members being absent for one of the days we began surveying.

ConclusionWe hypothesized that the average rate for

Century students who like pasta is 4. In our survey of 100 students, we find the sample mean of 3.65 with a standard deviation of 0.72. We conclude that the population mean for all the students we surveyed is between 3.5 to 3.8 with 95% confidence. We test our initial hypothesis with 5% level of significance, and confirm our hypothesis is incorrect.