The goal of this study is to assess if the manufacturer’s claim of Reese’s Piece
ID: 3296576 • Letter: T
Question
The goal of this study is to assess if the manufacturer’s claim of Reese’s Pieces is accurate (fail to reject the claim or reject the claim) that the colors of Reese’s Pieces candies are evenly distributed with 50% orange, 25% yellow, and 25% brown.
Frequency Table:
Color
Frequency
Percentage
Yellow
140
19.746121%
Brown
161
22.708039%
Orange
408
57.545839%
Questions:
Calculate the appropriate measure of center and variation (if applicable).
Explain what your table, chart/graph, and measures of center/variation are telling you about the data.
Color
Frequency
Percentage
Yellow
140
19.746121%
Brown
161
22.708039%
Orange
408
57.545839%
Reece's Pieces Color Distribution 500 408 A0O 300 12 12 Yellow Brown Orange 200 140 100Explanation / Answer
Ans:
H0: Colors of Reese’s Pieces candies are evenly distributed with 50% orange, 25% yellow, and 25% brown.
H1: Colors of Reese’s Pieces candies are not evenly distributed with 50% orange, 25% yellow, and 25% brown.
Expected frequency:
yellow=0.25*709=177.25
brown=0.25*709=177.25
Orange=0.5*709=354.5
Test statistic:
Calculated Chi square score=17.392
df=3-1=2
p-value=CHIDIST(17.392,2)=0.000167
Assume significance level=0.01
As,p-value<0.01,Reject H0.
We do not have suffcient evidence to support the claim that Colors of Reese’s Pieces candies are evenly distributed with 50% orange, 25% yellow, and 25% brown.
Color Observed(O) Expected(E) (O-E)^2/E Yellow 140 177.25 7.828 Brown 161 177.25 1.490 Orange 408 354.50 8.074 Total= 709 709 17.392Related Questions
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