Sour Patch Distribution Chiquta Hicks 05/24/10 Period 8

Purpose/Question I intend to measure the average distribution of the colors in a bag of sour patches In a 46 oz. box of sour patches are the four colors evenly distributed?

Sample/Population My sample/population was a 46 oz. box of assorted sour patch kids

Data Collection I bought a box of sour patches and divided them up into color groups  Yellow, Green, Red, Orange I am confident my sample represents my population because I have a big enough sample number Categorical data Color vs. Number graphs

Analysis Data summary  mean=65.75  Sum total=263  Standard deviation=7.136  Number=4

Graphs

Hypothesis Null hypothesis: the colors of sour patches in a 46 oz. box is distributed evenly Alternate hypothesis: the colors of sour patches in a 46 oz. box is not distributed evenly

Inference I will use the 5% significant level The sample size is 263 sour patches The significant test I will use is the chi-squared test The conditions are  Data comes from simple random sample  Population ten times as large a sample  Has to be categorical  Expected variable level at least 5

Inference Cont…. The equation for test is  Chi-squared= Sigma x (observed-expected) squared/expected Chi-squared=2.323 P-value=.508 I will have to fail to reject the null hypothesis I don’t have enough evidence to show that the colors are evenly distributed.

Conclusion At a 5% significance level I will fail to reject the null hypothesis that the colors in a 46 oz. box of sour patches are evenly distributed.