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

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solution

**Question**

Question;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#54622 | Written in 18-Jul-2015

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