The following graph is an interaction plot between factors A and B in a 2* factorial experiment. B+ 60 50 B- 40 B+ 30 20 10 B- Factor A There is a weak interaction between factors A and B Select one: O True O False Response
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- 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)…Ecologists conducted a study to investigate the potential ecological impact of golf courses. Investigators monitored the reproductive success of bluebirds in birdhouses at nine golf courses and ten similar birdhouses at nongolf sites. Data on nests in birdhouses occupied only by bluebirds are shown in the table. If the proportions of nests occupied is the same for golf and nongolf sites, what would be the expected count of birdhouse with 1 nest in nongolf locations? O nests 1 nest Total 2 or 3 nests Golf 30 42 8 80 Nongolf 40 58 22 120 Total 70 100 30 200 50 b 42 60 d. 58 e 40 O O O O ODuring one month, a blood donation center found that 45.5% of the donors had the A antigen. 14.5% of the donors had the B antigen. 4.6% of the donors had the A antigen and the B antigen. 84.6% of the donors were Rh+. 87.8% of the donors had the B antigen or were Rh+. (a) Find the percent of donors that have the A antigen or the B antigen. 55.4 % (b) Find the percent of donors that have the B antigen and are Rh+. ?
- Part A: A researcher wants to determine if there is a relationship between having been to college and preferring cats or dogs. Perform the appropriate test based on the following data: Cats Dogs College 42 52 No College 36 47 (Rows: College. Columns: Cats vs Dogs) Part B: Test the hypothesis that the same proportion of students find the following pet-types to be their favorite. Cats Dogs Rocks Turtles 29 31 26 26Scenario: A sports psychologist studied the effect of a motivational program on number of injuries in one year among players of three different sports (baseball, football, and basketball). Players were randomly assigned to one of two conditions: either participate in a motivational program or none (control). Data was collected on the number of injuries sustained by each athlete that season. Question: How many levels does the factor "sports" have? Group of answer choices 0 1 2 3Caffeine A student study of the effects of caffeine asked volunteers to take a memory test 2 hours after drink-ing soda. Some drank caffeine-free cola, some drank regular cola (with caffeine), and others drank a mixtureof the two (getting a half-dose of caffeine). Here are the5-number summaries for each group’s scores (number ofitems recalled correctly) on the memory test:a) Describe the W’s for these data.b) Name the variables and classify each as categorical orquantitative.c) Create parallel boxplots to display these results as bestyou can with this information.d) Write a few sentences comparing the performances ofthe three groups.
- NoneWhat are the factors in a factorial design? A. The independent variables B. The experimental variables C. The organismic variables D. The dependent variablesA chain of hardware stores is trying to sell more paint by mailing pamphlets describing the paint. In 15 communities containing one of these hardware stores, the paint sales (in dollars) were recorded for the months before and after the ads were sent out. The paired results for each store follow. Sales after 612 151 795 285 718 467 285 641 506 119 269 361 97 214 283 Sales before 462 212 647 259 688 436 229 479 374 119 115 369 94 295 435 (c) Find the sample test statistic. (Use 2 decimal places for the value of x in your calculations. Use 2 decimal places for your answer.)(d) For the sign test, rank-sum test, and Spearman correlation coefficient test, find the P-value of the sample test statistic. For the runs test of randomness, find the critical values from Table 10 of Appendix II. (Use 4 decimal places.)
- In a computer game, different units are created randomly with different levels of range and Aggression according to the table below. Range is how far the unit can attack without moving, and Aggression is used to determine how far a unit will move to attack without direct command. Range Total 1 2 4 5 0.2 0.15 0 0.35 Aggression 3 0.1 0.15 0.1 0.35 0 0 0.05 0.25 0.3 Total 0.3 0.35 0.35 1 Calculate the Expected value of aggression for the units created. (E(Aggression))Determining whether two samples are independent or paired a... Charmaine has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the San Bernardino Freeway, and the other is to go via the Pomona Freeway. Recently, a lane was added to the San Bernardino Freeway. So, Charmaine wants to determine if it is now faster to take the San Bernardino Freeway than the Pomona Freeway. She selected a random sample of 12 of her trips via the San Bernardino Freeway and a random sample of 12 of her trips via the Pomona Freeway. The two samples were chosen separately, so that the selection of the trips via the San Bernardino Freeway did not affect the selection of the trips via the Pomona Freeway. Charmaine recorded the travel times (in minutes) for the trips in each of the two samples. The following table gives the data, sample means, and sample standard deviations. S.B. Fwy 79, 76, 66, 69, 71, 75, 67, 75, 65, 60, 76, 74 Pomona Fwy 63, 76, 79, 78, 74, 71, 65, 75,…A researcher wants to know if the clothes a woman wears is a factor in her GPA. The table below shows data that was collected from a survey. Jeans Dress Skirt Shorts 3.3 2.4 3.3 2.8 3.6 3.5 3.9 3.6 3.9 3.6 2.4 1.9 2.3 3.1 1.8 3.5 2.9 3.4 3 2.1 3 3.4 3 4 3.3 3.1 2.4 3.5 3.1 3.3 2.7 Assume that all distributions are normal, the four population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of a = 0.05. Ho: µi = µ2 = µ3 = H4 H1: At least two of the means differ from each other. 1. For this study, we should use Select an answer O 2. The test-statistic for this data = (Please show your answer to 3 decimal places.) 3. The p-value for this sample = (Please show your answer to 4 decimal places.) 4. The p-value is Select an answer 5. Base on this, we should Select an answer O hypothesis 6. As such, the final conclusion is that... O There is insufficient evidence to support the claim that the clothes a woman wears is a…