Plz check work and answer through 10
number and proportion of the 4 different shared colors for both M&M's and Skittles Give 3 decimal places. M&M's Whole Bag Skittles n1= 39 Number, X Proportion, PM 12 = 108 Green Number, X O . 05 1 Proportion, ps Orange 0. 154 Red 24 Yellow 0. 205 17 cee . 9 0 047 18 0. 157 Q-167 2. (2pts) Find the difference in the sample proportions between your bags of M&M's and Skittles for each color. Give 3 decimal places mm Pm Skitter R Diffreme Bon- P Green ROSI Orange 01250 2154 Red 0.272 205 Yellow 0,07 7 0., 147 .148 - 0.09 MAY 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 = 0 0.051 GREEN ORANGE RED YELLOW Part 2: Confidence Interval for M&M's vs. Skittles - 17 points 5. (8pts) You want to construct a confidence interval for the difference in proportions of M&M's and Skittles for the second largest difference color (the one selected in #4). Verify whether all the requirements are satisfied for constructing this confidence ptest of interval. Show work and/or explain each one. (Note: If typing, use an equation editor) Green Diff=In n ORandorryes I choose random bags @ Independentgiles I group measured twice Sample Indep of pop6 12005N yes . 0512 milkons of mims yes o. zoos mill of set thes @) graph shows normal dist Ho :no HA Hato J2 *x. SE ( ) Critical & 3,182 P-value DF=3 0.0 151 SHE= 3.326 shat T stat paid mean = 1675 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 Confidence Levels" column and a sample size of 1 then click Compute!) State the confidence level here: 86 7. (4pts) Regardless of whether or not the requirements were met in #5, construct a 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.) MAT 133 Chapter 11 Project PigsDi Sample D mean Difference mean DF T-Slat Pvalue 14 4 75 2.759 Varl-Var 2 -1675 3.5260357 3 3,1924463 2 4 2.5 4796 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 contradict his claim? (Highlight one) Explain using the interval. Support Contradict Part 3: Sample Size for M&M's vs. Skittles - 13 points 9. (2pts) Use the StatCrunch file MAT 133 (FA21) Random Confidence Levels to generate a new, different random confidence level for #10 below. (Use Data - Sample, then 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 number) State the confidence level here: 74 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)
