I WILL GIVE BRAINLIYEST AND 20 POINTS Derrick surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey: Hamburgers Spaghetti Pizza Sample #1 43 13 44 Sample #2 41 20 39 Which of the following inferences can be made based on the data? Pizza is the most preferred lunch. Spaghetti is two times more popular than pizza. Hamburgers and pizza are preferred almost equally. Spaghetti is two times more popular than hamburgers. Question 3(Multiple Choice Worth 5 points) (08.02 MC) The dot plots below show the scores for a group of students for two rounds of a quiz: Two dot plots are shown one below the other. The title for the dot plot on the top is Round 1 and the title for the bottom plot is Round 2. Below the line for each dot plot is written Score. There are markings from 1 to 5 on the line at intervals of one. There are there are 6 dots above the mark 4 and there are 2 dots above the mark 5.For the bottom dot plot there are there are 4 dots above the mark 4 and there are 4 dots above the mark 5. Which of the following inferences can be made using the dot plots? There is no overlap between the data. The range of each round is the same. Round 1 scores are higher than round 2 scores. Round 2 scores are lower than round 1 scores. Question 4(Multiple Choice Worth 5 points) (08.01 LC) Jacob wants to know how many students in his school enjoy watching space travel programs on TV. He poses this question to all 20 students in his history class and finds that 80% of his classmates enjoy watching space travel programs on TV. He claims that 80% of the school's student population would be expected to enjoy watching space travel programs on TV. Is Jacob making a valid inference about this population? No, it is not a valid inference because his classmates do not make up a random sample of the students in the school No, it is not a valid inference because he asked all 20 students in his history class instead of taking a sample from his math class Yes, it is a valid inference because his classmates make up a random sample of the students in the school Yes, it is a valid inference because he asked all 20 students in his history class Question 5(Multiple Choice Worth 5 points) (08.03 HC) Maria wants to know if the number of words on a page in her earth science book is generally more than the number of words on a page in her math book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book. Mean Median Mean Absolute Deviation Earth science 48.9 41 9.2 Math 34.5 44 1.9 She claims that because the mean number of words on each page in the earth science book is greater than the mean number of words on each page in the math book, the earth science book has more words per page. Based on the data, is this a valid inference? Yes, because the mean is larger in the earth science book. No, because the mean is larger in the earth science book. Yes, because there is a lot of variability in the earth science book data. No, because there is a lot of variability in the earth science book data. Question 6(Multiple Choice Worth 5 points) (08.02 MC) The two dot plots below show the heights of some sixth graders and some seventh graders: Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot for the first mark, there are 3 dots above the second mark, 2 dots above the third mark. The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 0.6. Approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenths place.) 0.3 1.2 1.7 2.0 Question 7(Multiple Choice Worth 5 points) (08.01 MC)