A mathematics education researcher is studying problem solving in small groups. One phase of the study involves pairing a third-grade girl with a third-grade boy. If the researcher wants between 64 and 76 different boy-girl pairings and there are 9 girls available for the study, how many boys are needed?   The researchers need____________boys.

This is a SAS question. You want to randomly assign 48 subjects into two groups (Placebo and Drug). Write a DATA step to do this in such a way as to ensure there are exactly 24 subjects in each group. Can you think of how to do this so that in each group of eight subjects, there are exactly four Placebo and four Drug assignments? (Hint: Create six blocks of eight subjects each.) I know how to do the first part, it is the second part that is hard for me to figure out. Thank you!

A team of researchers would like to determine whether the number of households that use the internet for more than an hour a day is greater in large cities or small towns. To do so, the researchers take two random samples. The first sample consists of randomly selected people who live in cities with more than 500,000 people around the country. The second sample consists of randomly selected people who live in towns with fewer than 20,000 people. Are these samples dependent or independent? Select the correct answer below: O These samples are independent. O These samples are dependent. Not enough information is provided to determine independence.

This semester, we have talked about creating random samples as well as desirable qualities of random samples. Other than randomness, one quality of random samples that we have talked about is representation. Using your knowledge of that concept, consider this problem. At a college, 29% of the students are in their first year, 27% are in their second year, 25% in their third, and 19% in their fourth. You take a survey of students and when you classify them by year of study, you have 49, 70, 56, and 25 students in their first, second, third, and fourth years respectively. The table below highlights this information. Year of School First Second Third Fourth Total College Percents Sample Counts Expected Counts 27% 70 25% 56 29% 19% 49 25 200 58 54 50 38 Under the assumption that we think the college enrollment percentages should match our sample, and that therefore our sample represents the college: a) What would the critical value be? (use a = 0.05) b) Find the test statistic to test (c)…

2. Please answer all three parts of this question. 1. You are designing a 2x3 factorial design and need 20 participants in each of 6 conditions. How many participants in total would be needed for a 2x3 independent groups (between-subjects) design? How many participants in total would be needed for a 2x3 repeated-measure groups (within-subjects) design? How many participants in total would be needed for a 2x3 mixed factorial design?

Basketball players can take shots worth 3 points, 2 points, or 1 point. A scout is assessing two players- Tabitha and Lauren-who play for different teams in different leagues. The scout wonders if they have similar or different shot selections. They take a random sample of Tabitha's games and a separate random sample of Lauren's games. They tally how many of each type of shot the players attempted in those games. Here is a summary and the results of a chi-square test: Chi-square test: Shot vs. player Tabitha Lauren 3-point 8 12 Expected 10.34 9.66 2-point 40 37 Expected 39.83 37.17 1-point 12 Expected 9.83 9.17 x² = 2.097, DF = 2, P-value = 0.350 %3D Assume that all conditions for inference were met. At the a = 0.05 significance level, what is the most appropriate conclusion to draw from this test? Choose 1 answer: This is convincing evidence that the distribution of shot type differs between Tabitha and Lauren.

Q6 How many different ways are there to select a group of 4 out of 6 people for a cyber-sport team with 4 distinct roles?

If there are 65 successes of 150 trials in the one group, and 115 successes of 200 in another, test if the groups significantly different? Use ? = 0.05.

Please please answer super super super fast

question(13): The researcher decided to conduct the study again and recruited an  additional 10 children  from the full time kindergarden and an additional from the part time kindergarden, This time they matched the children in full time kindergarden and partime kindergarden on SES, gender, age, and vocabulary score .They based their hypotheses  on the finding from a previous study  and wanted to see if full time kinder garden  would have better short term memory recall compared to children who attended partime kindergarden. Researchers read a list of 20 words ,then waited 2 minrderdenutes while the kids were having a snack, then they were asked to tell them how many words they remember. .Those who remember a word got a score of 1. A summary of the results is given below fulltime kindergarden: 15     9      10      8         11      7         14        12     11   13 partime kindergarden :  10   7      9      8         12       6         8          10      7      9 test the hypotheses…