A psychology lab doing research in dreams has 4 rooms (1,2,3, and 4), each containing 2 beds (A and B). Three pairs of twins are being studied tonight. Each pair of twins will be assigned to one of the four rooms, and then each twin will be assigned a specific bed in the room. How many ways are there to organize the experiment? (i.e. How many ways are there to assign the 6 subjects to rooms and beds if each pair of twins must share the same room?) 24
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![A psychology lab doing research in dreams has 4 rooms (1,2,3, and 4),
each containing 2 beds (A and B). Three pairs of twins are being studied
tonight. Each pair of twins will be assigned to one of the four rooms, and
then each twin will be assigned a specific bed in the room. How many
ways are there to organize the experiment? (i.e. How many ways are there to assign
the 6 subjects to rooms and beds if each pair of twins must share the same room?)
24
8
192
48
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- Suppose a researcher is surveying four subjects: subject A, subject B, subject C, and subject D. Subject A wants to impress the researcher above all else, while the other subjects do not care if they impress the researcher. Which subject is least likely to answer all the questions honestly? OA. Subject C O B. Subject D C. Subject A D. Subject BIn order to conduct an experiment, 4 subjects are randomly selected from a group of 47 subjects. How many different groups of 4 subjects are possible? The number of possible different groups is. (Type a whole number.)For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.Use the information below for Part A, Part B, and Part C. Every person at the park received a ticket. Of those tickets, only 45 were winning tickets. In a random sample of 25 people, 2 people had winning tickets.Part A: Write a ratio to represent the number of winning tickets to all tickets in the sample population.Part B: Make a reasonable claim or prediction about the population at the park.Part C: Justify your answer to Part B by showing your work.
- An Internet service provider is considering four different servers for purchase. Potentially, the company would be purchasing hundreds of these servers, so it wants to make sure it is making the best decision. Initially, five of each type of server are borrowed, and each is randomly assigned to one of the 20 technicians (all technicians have similar skills). Each server is then put through a series of tasks and rated using a standardized test. The higher the score on the test, the better the performance of the server. The data are shown below. Use the KRUSKAL-WALLIS TEST to determine if the are differences among the servers. Use α = 0.1. 48.5 46.5 52.4 54.1 58.9 56.4 68.2 68.5 64.2 60.1 52.1 64.3 56.3 68.3 48.3 72.2 52.2 70.6 58.4 56.5This 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)…A group of 499 students were surveyed about the courses they were taking at their college with the following results:228 students said they were taking Math.213 students said they were taking English.237 students said they were taking History.61 students said they were taking Math and English.84 students said they were taking Math and History.74 students said they were taking English and History.17 students said they were taking all three courses.How many students took Math, English, or History ?
- In order to conduct an experiment, 5 subjects are randomly selected from a group of 50 subjects. How many different groups of 5 subjects are possible? the number of possible different groups isInspired by the example about how background music influences choice of entrée at a restaurant, a statistics student decided to investigate other ways to influence a person's behavior. Using 60 volunteers, she randomly assigned 20 volunteers to get a "red" survey, 20 volunteers to get a "blue" survey, and 20 volunteers to get a control survey. The first three questions on each survey were the same, but the fourth and fifth questions were different. For example, the fourth question on the "red" survey was "When you think of the color red, what do you think about?" On the blue survey, the question replaced red with blue. On the control survey, the last two questions were not about color. As a reward, each volunteer was allowed to choose a chocolate candy in a red wrapper or a chocolate candy in a blue wrapper. The table shows the result of the experiment. We want to test Ho: The distribution of candy choice is the same for subjects like these who receive the red survey, the blue survey,…Does the location of your seat in a classroom play a role in attendance or grade? 1600 students in a physics course were randomly assigned to one of four groups. The 400 students in group 1 sat 0 to 4 meters from the front of the class, the 400 students in group 2 sat 4 to 6.5 meters from the front, the 400 students in group 3 sat 6.5 to 9 meters from the front, and the 400 students in group 4 sat 9 to 12 meters from the front. Complete parts (a) through (c). Click the icon to view the chi-square table of critical values. (a) For the first half of the semester, the attendance for the whole class averaged 83%. So, if there is no effect due to seat location, we would expect 83% of students in each group to attend. The data show the attendance history for each group. How many students in each group attended, on average? Is there a significant difference among the groups in attendance patterns? 3 4 Group Attendance 1 0.84 0.84 0.84 0.80 The number of students who attended in the first…
- A biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons. From previous studies performed around the same time of the year, she expects 50% of the birds to be ducks, 23% to be geese, 12% to be cranes, 10% to be swans, and 5% to be herons. What are the expected and observed counts? Select one. Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D %3D Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 heronsA campus researcher wanted to investigate the factors that affect visitor travel time in a complex, multilevel building on campus. Specifically, he wanted to determine whether different building signs (building maps versus wall signage) affect the total amount of time visitors require to reach their destination and whether that time depends on whether the starting location is inside or outside the building. Three subjects were assigned to each of the combinations of signs and starting locations, and travel time in seconds from beginning to destination was recorded. How should the data be analyzed? Wall Signs Map Starting Room Interior 141, 119, 238 85, 94, 126 Randomized block design O Completely randomized design 2 x 2 factorial design Levene's test Exterior 224, 339, 139 226, 129, 130A group of 91 students were surveyed about the courses they were taking at their college with the following results:39 students said they were taking Math.47 students said they were taking English.38 students said they were taking History.14 students said they were taking Math and English.16 students said they were taking Math and History.27 students said they were taking English and History.11 students said they were taking all three courses.How many students took none of the courses ?
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