Distribution of M & M candies Box 1 37 red 2 Blue 8 Orange 11 Yellow 4 Brown 3 G
ID: 3270267 • Letter: D
Question
Distribution of M & M candies
Box 1
37
red 2
Blue 8
Orange 11
Yellow 4
Brown 3
Green 9
Box 2
36
red 4
Blue 9
Orange 6
Yellow 5
Brown 5
Green 7
Box 3
37
red 2
Blue 11
Orange 11
Yellow 4
Brown 5
Green 4
Box 4
37
red 3
Blue 11
Orange7
Yellow 3
Brown 5
Green7
Box 5
36
red 5
Blue 10
Orange7
Yellow 4
Brown 5
Green4
iPad 4:05 PM 13% D Back Example #9-Distribution of M&M; Candies Example #9-Distribution of M&M; Candies According to the M&Ms; website, each package of Milk Chocolate M&M;'s should contain 24% blue, 14% brown, 16% green, 19% orange, 13% red, and 14% yellow M&M;'s Purchase several bags of M&Ms; and count the number of candies in each color. Use the collected data to perform a statistical study to determine if the colors really are distributed as claimed Research Design and Methodology O What is the goal of this study? O Is the data qualitative or quantitative? Explain o What level of measurement is the collected data? Explain o Did perform an observational study, experiment, simulation, or survey? Explain O What sampling technique did you use to collect the data? Explain O Are there any confounding variables that may exist in this study? Summarizing the Data o Create a frequency table O Create an appropriate chart/graph of the data o Calculate the appropriate measure of center and variation for the expected number of M&Ms; in each color based on your sample size o What does this information tell you about your data? . Statistical Inference o Construct and interpret confidence intervals for the expected proportion of each color based on your data o Perform a hypothesis test to determine if the colors are distributed as claimeo e Reflection o What did you learn from the analysis of your data? o Were you able to acheive your goal? o What would you do differently if you were to repeat this project? o Presentation o Present your findings to the class Previous Next Courses Calendar To Do Notifications MessagesExplanation / Answer
Box 1 ) chi-square distribution with r-1 = 5 degree of freedom
here TS = 16.029
critical value = 11.07
since TS> critical value , we reject the null and conclude that colours are not distributed as claimed
BOX 2 )
TS < critical value , we fail to reject the null
Box 3 )
since TS> critical value , we reject the null and conclude that colours are not distributed as claimed
Box 4)
since TS> critical value , we reject the null and conclude that colours are not distributed as claimed
Box 5)
TS < critical value ,we fail to reject the null
Oi Ei (Oi-Ei)^2/Ei 0.24 2 8.88 5.33045045 0.14 8 5.18 1.535212355 0.16 11 5.92 4.359189189 0.19 4 7.03 1.305960171 0.13 3 4.81 0.681101871 0.14 9 5.18 2.817065637 1 37 37 16.02897967 critical value 11.07049769