Submission Instructions: Write your answers to the problems on paper and then scan or take photos of those pages. If there are multiple pages to your completed assignment, you must submit them as one multi-page document (pdf, docx, jpg, or png).Directions: Complete each of the following. Reminder: The “sum” of two numbers is the result of adding two numbers. The “difference” of two numbers is the result of subtracting two numbers.Find the sum of 559 and 263 using the expanded form algorithm.Find the sum of 637 and 87 using the partial sums algorithm.Find the sum of 132 and 748 using an empty number line.Find the difference between 73 and 48 using the compensation strategy.Find the difference between 411 and 135 using an empty number line.

1. In Module 4, we considered Mary's interest in doing a study to see if learning of 6th graders on a math lesson is affected by background noise level. There, she was planning to use 2 noise conditions and then analyze her outcomes using a t-test for independent groups. Describe the study Mary might plan where she would use a one-way analysis of variance (ANOVA) for independent groups instead of a t-test to study differences between noise levels. What is her independent variable here? Describe the conditions she could create for this study. What is her dependent variable? Describe a way to measure the DV so that each participant would have one score at the end that would be on a continuous scale of measurement. Support your responses.250 words plus referenceWeek 6.docx2. Consider Mary's study of whether the learning of 6th graders on a math lesson is affected by background noise level. Describe the pros and cons of Mary using a repeated measures design for this study. What would you probably choose to do? Support your responses.250 words plus reference

Question 1 (5 points) For each situation, make a tree diagram or table to show the sample space. Then give the total number of outcomes.picking a number from 1 to 4 and choosing the color red, green, or yellow Question 1 options:691224Question 2 (5 points) List all of the possible outcomes using the table below. SkirtColorskirt 1whiteskirt 2black Question 2 options:skirt 1, whiteskirt 2, blackskirt 2, whiteskirt 2, black skirt 1, whiteskirt 1, blackskirt 2, whiteskirt 2, black skirt 1, whiteskirt 1, blackskirt 2, whiteskirt 2, white skirt 1, whiteskirt 1, blackskirt 1, whiteskirt 2, black Question 3 (5 points) Find the mode of each set of data.33, 19, 15, 39, 39, 34, 24, 29Question 3 options:31293239Question 4 (5 points) Find the interquartile range of the data.68, 82, 44, 79, 94, 60, 78, 70, 59 Question 4 options:70205021Question 5 (5 points) Winona’s bowling scores for the past nine weeks are 195, 180, 195, 212, 208, 231, 179, 246, and 195. Find the mean, median, and mode. Round to the nearest tenth, if necessary.Question 5 options:204, 195, 195204.6, 195, 195204.6, 208, 195205, 195, no modeQuestion 6 (5 points) The frequency table shows Sam’s record in swimming. YearNumber of medals2008620094201012012720134Based on this record, what is the probability of picking up a medal won by him in the years 2009 or 2012. Question 6 options:2Question 7 (5 points) The table shows the price of admission at eight theaters. Theater Admission Prices ($)5.007.508.258.009.7510.2511.0010.75Find the mean absolute deviation of admission prices. Round to the nearest hundredth if necessary. Question 7 options:$13.00$8.81$6.00$1.63Question 8 (5 points) Identify the sample as biased or unbiased and describe its type.John wanted to know about the popularity of a particular movie. He surveyed 20% of the people in 5 different theaters.Question 8 options:biased, voluntary response samplebiased, convenience sampleunbiased, simple random sampleunbiased, systematic random sampleQuestion 9 (5 points) The table shows the high temperatures for two different cities over the past 10 days. High Temperatures (°F)Lewistown64656566686970717374Hamersville55636567676868687071Compare the ranges in temperature for the cities. Question 9 options:The range for Lewistown is 6 more than the range for Hamersville.The range for Lewistown is 3 more than the range for Hamersville.The range for Hamersville is 5 more than the range for Lewistown.The range for Hamersville is 6 more than the range for Lewistown.Question 10 (5 points) Nina’s quiz scores for the quarter are 90, 79, 5, 84, 95, 81, 87, and 94. Which measure of central tendency best represents the data shown in the table and why? Question 10 options:Since the data have many repeated values, the mode best represents the data.Since there is an extreme value (5) and there are no big gaps in the middle of the data, the median best represents the data.Since there are no extreme values, the mean best represents the data.Since there are no extreme values and few repeated numbers, the median best represents the data.Question 11 (5 points) Lionel is apartment hunting. He makes a table of prospective apartment choices. Apartment Rental PricesApartment ChoicePrice per Month ($)1630275536754765569066807675Which measure of central tendency best represents the data shown in the table and why? Question 11 options:Since the data is grouped close together, the mode best represents the data.Since there are no extreme values, the median best represents the data.Since there are no extreme values and few repeated numbers, the mean best represents the data.Since the value 675 occurs more than once, the mode best represents the data.Question 12 (5 points) How Often We Check EmailAccording to the graph, out of 2500 people, how many would you expect check email daily?Question 12 options:575 people1900 people190 people25 peopleQuestion 13 (5 points) Identify the sample as biased or unbiased and describe its type.To determine whether students would choose engineering as their profession, equal number of boys and girls were surveyed in a school.Question 13 options:unbiased, stratified random sampleunbiased, systematic random samplebiased, convenience samplebiased, voluntary response sampleQuestion 14 (5 points) The table shows the number of points scored by each team in a tournament. Number of Points Scored1225162031161922Find the mean absolute deviation of the number of points scored. Round to the nearest hundredth if necessary. Question 14 options:4.411620.1335.26Question 15 (5 points) Find the probability.A bag of sweets contains 20 gummy bears and 35 orange slices. One sweet is taken at random from the bag. Find P(gummy bear).Question 15 options:Question 16 (5 points) Find the range for the set of data.101, 72, 115, 114, 117, 56, 101, 68, 111, 58, 51, 51, 90Question 16 options:64856690Question 17 (5 points) Find the probability.A marble is randomly selected from a bag containing 15 black, 12 white, and 6 clear marbles. Find P(not clear). Round to the nearest percent if necessary. Question 17 options:18%82%64%55%Question 18 (5 points) Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data.111, 68, 93, 88, 74, 152, 119, 87, 88, 105, 84, 102, 151, 115, 112 Question 18 options:median: 102, Q1: 87, Q3: 113, IR: 28, outliers: nonemedian: 102, Q1: 87, Q3: 115, IR: 28, outliers: 68median: 102, Q1: 87, Q2: 115, IR: 28, outliers: nonemedian: 102, Q1: 87, Q3: 115, IR: 27, outliers: noneQuestion 19 (5 points) For the following exercises, use the chart below. It shows the percent of consumers who prefer each brand of paper towel. Paper TowelNumber of ResponsesThirsty49Clean24Strong Ones15PowerWash12Predict how many consumers prefer PowerWash paper towels from a group of 195? Question 19 options:23 consumers24 consumers29 consumers30 consumersQuestion 20 (5 points) Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data.14.6, 28.1, 3.9, 7.1, 5.3, 30.9, 2.8, 6.5, 20.8, 16.4, 16.4, 27.1, 53.5, 12.5, 6.1 Question 20 options:median: 14.6, Q1: 6.1, Q3: 27.1, IR: 21, outliers: nonemedian: 14.6, Q1: 6.1, Q3: 27.1, IR: 20, outliers: nonemedian: 14.6, Q1: 6.1, Q3: 27.1, IR: 21, outliers: 2.8median: 14.6, Q1: 6.1, Q3: 25.1, IR: 21, outliers: none Submit Quiz0 of 20 questions saved