Chiquta Hicks
05/24/10
Period 8

• 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?

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

• 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

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

Color Frequency
80
70
60
50
40
30
20
10
0
Green Red Yellow Orange
Frequency

• 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

• 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

• 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.

• 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.