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- Sarah chose to live on the honors floor of her dorm because she was told that the students on that floor would be quiet and studious. She was told that students on the honors floor study 10.5 hours per week. After living on the honors floor for a few months, Sarah is convinced that the students around her study less than 10.5 hours a week. To test her claim, Sarah polls 10 students on her floor regarding the number of hours per week that they spend studying. Use the results in the table below to test Sarah’s claim at the 0.05 level of significance. Assume that the population distribution is approximately normal. hours of study: 12,4,14,9,8,6,10,12,11,9Determine the best (according to sum-of-squares-measure) curve y = ax2, through the dataabove.The manager of the non-profit company recieved the task by his boss to plan the transport of the maximum number of volunteers from three locations (S1, S2, S3) to 5 locations (L1, L2, L3, L4, L5), where volunteers ill plant trees as part of a major international event. However, the manager lost his notes with accurate information on the number of volunteers at each Site. However, he found the following information from the e-mails that he has available The total number of volunteers is 190. The same number of volunteers should wait at stations S2 and S3, and the number of volunteers at station s3 is 10 people less than three times the volunteers who will wait at the first station S1 What is the number of volunteers at each site? Hint Use a system of linear equations to calculate capacities. We recommend solving by the Vogel approximation method At the second station S2 there are how many volunteers. ?
- A school Psychologist is interested in the effect of violent television programs on a child's agression depending on if the show is a cartoon or not. Eighty children were recruited and were divided into equal groups. Half of the children watched a violent television program while the other half watched a non- violent program. Half of the children watched a cartoon while the other half watched a show that was not a cartoon. The children were then placed in a small group and the researcher measured the level of agressiveness of each child. A) z- test B) t - test C) test independent samples D) T - TEST RELATED SAMPLES E) ANOVA F) FACTORIAL ANOVA G) repeated measures ANOVA H) pearson correlation i) chi squareDescribe about the three positive relationships of Scatterplots?The National Highway Association is studying the relationship between thenumberof bidders on a highway project and the winning (lowest) bid for the project. Ofparticular interest is whether the number of bidders increases or decreases the amountof the winning bid.
- A psychologist at the Hospital was asked to determine whether there was any clear difference in the length of stay (in days) of patients with different categories of diagnosis. The hospital was looking for ways to reduce costs and free up some more beds so that they could treat more patients from the community. They chose three diagnostic categories that they thought were possibly staying the longest and selected the 4 more recent admissions from each of these diagnostic categories: affective disorders, cognitive disorders, and drug-related disorders. The results are presented in Table 3 below. Using an alpha = .05 and showing all the steps of hypothesis testing, is there a significant difference in length of stay among diagnosistic categories?At a science fair, 4 different groups of students from a local school are showcasing their projects. The groups arrive with their advisors and each group has a different number of students (40, 33, 25, and 50, respectively). A participant is chosen randomly from the entire pool of students. Let’s use the variable X to represent the number of students in the group that the selected participant belongs to. Meanwhile, the event organizers decide to acknowledge the hard work of one of the advisors by ”randomly selecting” one of them for special recognition. Let’s use the variable Y to represent the number of students who came with the chosen advisor. (a) Before doing any computations, which of E(X) or E(Y) do you think is larger? Or are they the same? Why? (b) Compute E(X) and E(Y). Comment.In 2018, a consumer goods giant had more than 20 brands with more than $1 billion in annual sales. How does the company create so many successful consumer products? They effectively invests in research and development to understand what consumers want. One method used to determine consumer preferences is called conjoint analysis. Conjoint analysis allows a company to ascertain the utility that a respondent in the conjoint study places on a design of a given product. The higher the utility, the more valuable a respondent finds the design. Suppose we have conducted a conjoint study and have the following estimated utilities (higher is preferred) for each of three different designs for a new whitening toothpaste. Respondent Utilities Design A Design B Design C 1 24.6 34.4 28.8 2 31.4 31.4 33.9 3 31.8 20.2 27.8 4 15.4 26.4 25.1 5 20.7 18.3 18.2 6 41.0 34.0 44.8 7 27.1 22.5 27.3 8 20.2 21.8 27.9 9 31.6 29.4 31.3 10 24.4 29.0 29.3 At the 0.05 level of…
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