AT.A-GLANCE Notes Sunday Monday MAT 133 Chapter 11 Project. P.2 4. (1pt) Highlight the color that showed the SECOND largest difference in proportions between M&M's and Skittles? [Hints: Ignore + or -, just look for the second largest number - Used in #5-11] Grem P 20 0.051 ay GREEN ORANGE RED YELLOW Part 2: Confidence Interval for M&M's vs. Skittles - 17 points DAILY BOWEL MOVEMENT RE Village Green 1 . (8pts) You want to construct a confidence interval for the difference in proportions of Date :D4 / 16 1 22 M&M's and Skittles for the second largest difference color (the one selected in #14). " the requirements are satisfied for constructing this confidence Rm # 1 " shift ptest of Verify whether all the requirements a interval. Show work and/ or explain each one. and/or explain each one. (Note: If typing, use an equation 2" shift editor) Green Diffel19 wet get 1 Randomisyes I choose random bags 097/2 Do NOT ask resident Independent izes I geaup measured twice About her bowel movemen Sample Indep offer: 14005N yes . 0512 milkons of mims yes or amos mill of sixthen 4 graph shows normal dist Normal Ho:0 bal Novmal J= * * . SE () HA: Meto get him Do NOT ask resident About her bowel movement Critical& 3.182 aormal ta- 5 036 P-value DF=3 - 945 pig 010 151 SHE = 3.326 11 Adrian shat T stat paired 1475 104/261 10 6. (2pts) Use the StatCrunch file MAT 133 (FA21) Random Confidence Levels to generate a random confidence level for #7 below. (Use Data - Sample, then choose the fist 11 "Confidence Levels" column and a sample size of 1 then click Compute!) LOA 12 Normal 13 family State the confidence level here: 86 7. (4pts) Regardless of whether or not the requirements were met in #5, construct a h 11 Project - Inferential Statistics w/ M&M's and Skittles confidence interval for the difference in proportions of your chosen color for M&M's and Skittles using the confidence level generated in #6. (Do NOT show work, simply copy and paste your StatCrunch confidence interval output.) stions in the boxes. If typing, remember you can adjust box sizes and delete c. After completion, save this whole document including your name in the ad to JetNet as a PDF file. ding Data for M&M's and Skittles - 10 points ifi MAT 133 Chapter 11 Project. PS -Di I's share four colors: red, yellow, orange, and green. How do the different Difference mean St Ers DF T-Stat Cont P-value in their proportions of one of these colors? Varl-Var2 210 4 4 . 75 2.75# -1675 3.9260359 3 3.1824463 0-0151 2 4 21.5 - 4 7 96 ut the table with the total number of all candies in the whole bag, then the d proportion of the 4 different shared colors for both M&M's and Skittles. 8. (3pts) Willy Wonka claims that M&M's and Skittles have a significantly different proportion for your chosen color. Does your confidence interval support or imal places. M&M's Skittles contradict his claim? (Highlight one) Explain using the interval. n1= 39 n2= 108 Support Contradict Proportion, PM Number, X Proportion, Ps Number, X 0 .051 0 . 154 24 6. 222 17 0. 205 0 . 157 18 Q 07 7 0. 167 the difference in the sample proportions between your bags of M&M's and each color. Give 3 decimal places Diffrence Pro- Ps Part 3: Sample Size for M&M's vs. Skittles - 13 points SkittleD P 21250 OSI -71 9. (2pts) Use the StatCrunch file MAT 133 (FA21) Random Confidence Levels to generate 0.2-22 2.154 . 148 a new, different random confidence level for #10 below. (Use Data - Sample, then 6 157 205 0. 167 20.09 choose the "Confidence Levels" column and a sample size of 1 then click Compute! If you get the same confidence level as found in #6, redo it until you get a different 0.077 number) ght the color that showed the largest difference in proportions between Skittles? [Hints: Ignore + or -, just look for the largest number - Used in State the confidence level here: 74 YELLOW ORANGE RED 10.(8pts) Using the proportions of your color of M&M's and Skittles as prior estimates and your confidence level found in #9, calculate the minimum bag size for each type of candy required to ensure that the difference in the proportion of your color for M&M's and Skittles is within a 2% margin of error. (Show formula, substitution, and result - Note: If typing, use an equation editor)