please answer all questions pertaining to the sheet (in particular 3 and 4) plea

Question

please answer all questions pertaining to the sheet (in particular 3 and 4) please provide step by step solution to how you obtain answers and please clearly state and bold answers. for question # 4 please provide step by step solutons and bold answers.

According to their website, Mars Inc. (the maker of M&M;'s) claims that each package of M&M;'s should have the following distribution 13% Brown 14% Yellow 13% Red 24% Blue 20% Orange 16% Green One way one can determine if the Mars Inc. claim is true is to sample M&M;'s and to perform a goodness-of-fit test. This test will help determine if any differences between our observed measurements from our sample and our expected values are simply due to chance (sample error) or some other reason 1. Obtain a sample of M&Ms; 2. Determine the number of M&Ms; in your sample and the number of M&Ms; of each color. List your results in the spaces below: 12 3 Brown Yellow Red Blue Orange Green Total 10 12. 50 3. Determine the expected frequencies Brown Yellow Red Blue Orange Green

Explanation / Answer

applyinig chi square goodness of fit test on above:

from above expected frequency:

here test statistic X2 =7.5397

for above p value =0.1835

as p value is greater then 0.05 level we can not reject null hypothesis.

threfore we do not have sufficient evidence to reject the claim that each package of M&M follows given distribution at the starting.,

observed Expected Chi square Probability O E=total*p =(O-E)^2/E brown 0.13 12      6.50 4.65 yellow 0.14 6      7.00 0.14 red 0.13 3      6.50 1.88 blue 0.24 10      12.00 0.33 orange 0.20 12      10.00 0.40 green 0.16 7      8.00 0.13 1 50 50 7.5397

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