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Statistics Project Introduction page in Module 01 - Bag of M&M's

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Review the information about the percentage of colors in a bag of M&M's on the Statistics Project Introduction page in Module 01.;Requirements;1. Using your favorite color, construct a 95% 1-sample proportion confidence interval using the sample size and proportions that you got in the Module 03 project and interpret your results.;2. Next, using that same favorite color, construct a 95% 1-sample proportion confidence interval using the sample size and proportion that you got in the Module 05 project and interpret your results.;3. What do you notice about the two confidence intervals? Which Margin of Error is smaller and why do you think this is?;Submit your completed assignment to the drop box below. Please check the Course Calendar for specific due dates.;Save your assignment as a Microsoft Word document. (Mac users, please remember to append the ".docx" extension to the filename.) The name of the file should be your first initial and last name, followed by an underscore and the name of the assignment, and an underscore and the date. An example is shown below;Use the following scenario to answer the 4 questions. A bank with a branch located in a commercial district of a city has developed an improved process for serving customers during the noon to 1 PM lunch period. The waiting time needs to be shortened to increase customer satisfaction. A random sample of 9 customers is selected, and stored in bank 1, the results, in minutes, are as follows;4.21;5.55;3.02;5.13;4.77;2.34;3.54;3.20;4.50;Another branch is also concerned with the noon to 1 PM lunch period. A random sample of 10 customers is selected, and stored in bank 2, and the results, in minutes, are as follows;9.66;5.90;8.02;5.79;8.73;3.82;8.01;8.35;10.49 6.68;Is there evidence of a difference in the median waiting time between the two branches?;Use? =.05;5) What is the hypothesis scenario?;6) State n1, n2, and the critical values for the rejection regions.;7) What is the Wilcoxon Rank Sum Test Statistic?;8) State your decision and conclusion.;Let's calculate the proportion of each color of M&M from our bag and compare it to what the website says we should have gotten. We see that our total sample size is now, n = 200.?;There are 27 Brown M&M's, 35 yellow M&M's, 28 Red M&M's, 46 Blue M&M's, 30 Orange M&Ms and 34 Green M&M's in our bag of M&M's.;Mine;Brown;Yellow;Red;Blue;Orange;Green;Internet;27;35;28;46;30;34;200;13.50%;17.50%;14.00%;23.00%;15.00%;17.00%;34;31;32;42;28;33;200;17.00%;15.50%;16.00%;21.00%;14.00%;16.50%;1. Brown and red are in lower proportion than the website where the Yellow, and blue, are in higher proportion and the green and orange are close to proportion.;None of the colors are really outlier.;I don?t think the Mars company favors any one color over another since our number?s are relatively close.;I think our numbers are a same prediction as to what to expect from a bag since the number?s are very close in percentages.;2. I think we can see that the data compared from ours to the website the distribution is very close and the blue has the highest proportion of all of the colors.

 

Paper#30465 | Written in 18-Jul-2015

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