Part 2: Confidence Interval with Skittles - 24 points 7. (Zptsl Which Skittle color had the lowest count in your sample? (If there's a tie, just choose one). Fill out this table for that color. (Give 3 decimal places for 13) 8. (6,013) Verifyr whether all the requirements for constructing a confidence interval for the proportion of this color of Skittles are satisfied. Show work and/or explain each one. (Note: If typing, use an eguation editor) 9. (2pts) Use the StatCrunch file MAT 133 lFAZl) 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 #3, redo it until you get a different number) State the confidence level here: \f4. (6pts) Regardless of whether or not the requirements were met, construct a confidence interval for the proportion of M&M's that are your color from #1 using the confidence level generated in #3. (Show formula, substitution, and result - Note: if typing, use an equation editor) Formula: Substitution: 5. (4,013) Willy Wonka claims that the proportion of candies of your chosen color is more than 1/6\" of any bag. Does your confidence interval support or contradict his claim? (Highlight one) Explain using the interval. Support Contradict Explanation: 6. (6pts) Using the proportion of your color of M&M's as a prior estimate and your confidence level found in #3, calculate the minimum bag size (as in number of candles) required to ensure that the proportion of your color of M&M's is within 1% ofthe true population proportion for that color. (Show formula, substitution, and result - Note: If typing, use an eguation editor) Substitution: 3. (2pts) Use the StatCrunch file MAT 133 (FA21) Random Confidence Levels to generate a random confidence level for #4 below. (Use Data - Sample, then choose the "Confidence Levels" column and a sample size of 1 then click Compute!) State the confidence level here:10. {6pts} Regardiess of whether or not the requirements were met, construct a confidence interval for the proportion of Skittles that are your color from #7 using the confidence level generated in #9. (Show formulas, substitution, and result - Note: If typing, use an equation editor) Formula: Substitution: 11. (4pts) State the confidence level found in #9 and in #3 Suppose when creating the confidence interval above for #10, instead of using the confidence level found in #9 you had used the level found in #3. The confidence interval created would have been: (Highlight one) Explain. Narrower The Same Width Wider Explanation: 12. {4pts} Willy Wonka is bothering you again and claims that the proportion of candles of your chosen color is lower than 20% for any bag. Does your confidence interval support or contradict his claim? (Highlight one) Explain using the intervai. Support Contradict Explanation