MAT 133 - Ch 11 Project - Inferential Statistics w/ M&M's and Skittles Your Name: Answer the questions in the boxes, If typing, remember you can adjust box sizes and delete empty spaces, etc. After completion, save this whole document including your name in the file name. Upload to JetNet as a PDF file Part 1: Recording Data for M&M's and Skittles - 10 points Skittles and M&M's share four colors red, yellow, orange, and green. How do the different candles compare in their proportions of one of these colors? 1. (6pts) Fill out the table with the total number of all candies in the whole bag, then the 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 39 Number, X Proportion, Dy Number, X Proportion, Green O.051 Orange 0 . 154 0.250 24 Red 0. 220 Lo. 205 17 Yellow 0. 157 18 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 Green 01250 Orange 0:222 -71 Red 205 -148 Yellow 0.077 0167 -0.09 3. (1pt) Highlight the color that showed the largest difference in proportions between ERSHI MILK CHOCO M&M's and Skittles? [Hints. Ignore + or -, just look for the largest number - Used in #12-14] GREEN ORANGE RED YELLOW 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) MAT 133 Chapter 11 Project, p.4. Formula: Substitution: Result: 11.(3pts) Suppose when calculating the result for #10 above, you had instead used the confidence level found in #6. How would that have affected the result? (Highlight one) Explain. No effect on the result Smaller result Larger result Part 4: Hypothesis Test for M&M's vs. Skittles - 20 points 12. (8pts) You want to conduct a hypothesis test for the difference in proportions of M&M's and Skittles for the largest difference color (the one selected in #3). Verify whether all the requirements are satisfied for conducting this test. Show work and/or explain each one. (Note: If typing, use an equation editor) State the randomly chosen level here: 79 MAT 133 Chapter 11 Project, gus 14.(10pts) Test whether there is a significant difference between M&M's and Skittles for the proportions of the largest difference color (the one selected in #3) at the level of significance found in #13. Show all work and steps, including graphs, explanations, etc. but do NOT show formulas and substitutions for step 3. (Note: If typing, use an equation editor. Also remember you can copy and paste graphs from StatCrunch) E 91 Lord