Melanie is doing an experiment to determine whether a high-protein food affects the ability of white mice to find their way through a maze. The mice in the experimental group were given the high-protein food; the mice in the control group were give regular food. Melanie then timed the mice as they found their way through the maze. The table below shows the results. Mouse Experimental Control number group group 1 min 48 sec 1 2 min 5 sec 2 min 3 sec 1 min 52 sec 3. 2 min 15 sec 2 min 30 sec 4 1 min 45 sec 2 min 10 sec 1 min 41 sec 1 min 55 sec The average time the mice in the experimental group took to find their way through the maze was how many seconds less than the average time taken by the mice in the control group? 13 10 11 urces 12
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- A researcher is interested in the effects of cocaine on learning. A group of rats is randomly assigned to receive either cocaine or a non-harmful saline solution. The rats are taught how to run a maze. The cocaine rats need to be reared away from the control group rats, so they are handled and taught by one experimenter, and the control group rats are handled and taught by another experimenter. The results showed that the control group rats learned how to run the maze more quickly than the cocaine rats. 1. What is the independent variable? 2. What is the dependent variable? 3. What is the confounding? 4. How could the confounding be fixed?We know that physical exercise improves the body, but can it also improve the mind? Scientists at The Salk Institute at La Jolla, California, took a random sample of adult mice and divided them into two groups. Both groups were trained to find a platform in a maze filled with cloudy water. (Mice hate swimming, so they seek the platform as the refuge.) The first group of mice exercised on a running wheel, about 5 kilometers per day. The second group remained inactive. After one month, the mice were placed in the maze and timed until each reached the platform. The sample statistics are given below.Active group: n = 15, x ̄ = 17.6, s = 3.0 111Inactive group: n = 12, x ̄ = 27.1, s = 6.3 222(a) At 1% significance level conduct a hypothesis test to determine if exercise im- proves memory in adult mice; in other words, test if the active group is, on average, faster than the inactive group.(i.) State the hypotheses.(ii.) Test for equality of unknown population variances.(iii.) Calculate test…Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than land because air generally rises over land and falls over water during the day. A bird with these tendencies is released from an island that is 3 km from the nearest point B on the shoreline, flies to a point C on the shoreline, and then flies along the shoreline to its nesting area D. Assume that the bird instinctively chooses a path that will minimize its energy expenditure. Points B and D are 8 km apart. (Round your answers to two decimal places.) In general, if it takes 1.3 times as much energy to fly over water as land, to what point C should the bird fly in order to minimize the total energy expended in returning to its nesting area?
- Three components are connected to form a system as shown in the accompanying diagram. Because the components in the 2–3 subsystem are connected in parallel, that subsystem will function if at least one of the two individual components functions. For the entire system to function, component 1 must function and so must the 2–3 subsystem. The experiment consists of determining the condition of each component [S (success) for a functioning component and F (failure) for a nonfunctioning component]. (Enter your answers in set notation. Enter EMPTY or ∅ for the empty set.) There us a graph shown in the pictures. Questions are posted on the pictures too.Three components are connected to form a system as shown in the accompanying diagram. Because the components in the 2–3 subsystem are connected in parallel, that subsystem will function if at least one of the two individual components functions. For the entire system to function, component 1 must function and so must the 2–3 subsystem. (View Pic) The experiment consists of determining the condition of each component [S (success) for a functioning component and F (failure) for a nonfunctioning component]. (Enter your answers in set notation. Enter EMPTY or ∅ for the empty set.) (a) Which outcomes are contained in the event A that exactly two of the three components function?A = ? (b) Which outcomes are contained in the event B that at least two of the components function?B = ? (c) Which outcomes are contained in the event C that the system functions?C = ? (d) List outcomes in C'.C' = ? List outcomes in A ∪ C.A ∪ C = ? List outcomes in A ∩ C.A ∩ C = ? List outcomes in B ∪ C.B ∪ C = ?…Nicole, an athletic trainer, believes if she has evidence that her program of exercise works, she can recruit more clients. She is planning to conduct a study to determine if working out for one hour per day with her fitness program causes a person to lose weight. She will track the participants’ progress over a twelve-week period. Nicole mandates that her clients at the gym participate in her study, and she asks them to each find one friend who is not a member of the gym to also participate. Each of the participants weighs in at the start and again after the twelve-week period has ended. At the conclusion of the study, she will compare the results of both groups. Unfortunately, because she has not had any formal training in research methodology, she is not certain how to label the different components in her study or identify any potential flaws. Help Nicole with the following components of this study. what is the type of research methodology Nicole should use if she wants to…
- A researcher replicates a past study manipulating the physical attractiveness of a defendant by using photographs instead of written descriptions, which was how the manipulation occurred in the original study. This technique would be an example of _____ replication. a. direct b. exact c. conceptual d. proceduralA sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in the accompanying data on time (sec) to complete the escape: 389 351 354 361 379 423 321 396 403 374 375 371 362 367 365 327 338 395 393 369 378 359 353 409 332 398 I have uploaded a picture with the full problem. I need help in the 2 questions I got wrong. On the picture the table is already set in order from smaller to bigger. By how much could this value be decreased without affecting the value of the sample median? (Enter ∞ if there is no limit to the amount.) I have no idea on how to calculate that. The other question is all the way down. I know I have to conver the seconds to minutes. I got 370.85 / 60 = 6.1695 which if I round to 2 decimal places as asked by the problem I should be getting 6.17 minutes. I was marked wrong. Why? Thanks.1. A researcher observed a rat respond for a food reward by pressing one of the three levers in a cage. Pressing the lever to the right (R) produced no food reward. pressing the lever to the left (L) produced a single food pellet, and pressing the lever at the center (C) produced two food pellets. Because the center level produced the largest reward, the researcher hypothesized that the rat would press this lever most often. Each trial ended when the rat produced a level. The researcher recorded lever pressing for 30 trials. L, L, R, L, R, C, R, L, C, L, L, C, C, C, R, C, R, C, L, C, C, L, C, C, C, L, C, C, C, C, C - Create the appropiate graph for this data - Do these data support the hypothesis? Explain. 2. Which scales of measurement are assumed to be discrete? What does this mean? Which scales of measurement are assumed to be continuous? What does this mean? 3. What type of graph should you create to visualize the following frequency data? Explain. -…
- Company XYZ produces and sells widgets. Production is done at two separate factories, one in Mississauga and one in Scarborough. An analysis reveals that in the Mississauga location, it costs CM (q) = 1 q3 + 10000 (dollars) 50 to produce q widgets in a month, while in the Scarborough location it costs CS (q) = q2 + 20000 (dollars) to produce q widgets in a month. The company needs to fulfill orders for a total of 400 widgets in the month of March 2023. (a) How many widgets should each location be assigned to produce so that the total cost of production is minimized? (b) Due to differences in quality control and shipping costs, company XYZ decides to sell widgets produced at each factory at different price levels: widgets produced in Mississauga are to be sold for $2000 each, and widgets produced in Scarborough for $2800 each. Show that it is most profitable for the company to allocate all production to Scarborough.Learning psychologist Edward Tolman wanted to determine if mice learned a maze through trial and error or if the developed a “cognitive map” of the maze. Tolman placed a rat in the center of a circular space with 4 alternative corridors. If the rats were truly “guessing” a path, they should try each corridor an equal number of times. However, if the rats were developing a cognitive map, they should go down the far-right corridor more frequently than the others and go directly to the cheese. Original Right Observed 8 12 Expected 16 16 . a.What are the null and alternative hypotheses? b.Perform the analysis manually or using Excel or r. c.Why is a Chi-Square called goodness of fit rather than a hypothesis test d.What did Tolman find?The call center of a small manufacturer receives calls randomly at an average rate of 9 customers per hour. The arriving calls are answered by a single agent randomly with an average service rate of 12 customers per hour. Answer the following questions assuming that the system can be modeled as an M/M/1 queue. average waiting time in queue (in minutes): minimum integer service rate (number of customers served per hour) such that the average waiting time in queue is less than 7 minutes: