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A. 0.65
B. 0.5
C. 0.2
D. 0.35
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- Indicate why the give method for running a simulation is not accurate.A bag contains 4 red marbles, 4 blue marbles, 6 yellow marbles, and 6 green marbles. If marbles are drawn one-by-one and not replaced, use 0-1 to represent a red marble, 2-3 to represent blue, 4-6 for yellow, and 7-9 to represent a green marble.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…A study of high school juniors in three districts – Belvidere, Rockford, and Byron – was conducted to determine enrollment trends in AP mathematics courses – Calculus or Statistics. 42% of students in the study came from Rockford, 37% from Belvidere, and the rest from Bryon. In Rockford, 64% of the juniors took Statistics and the rest took Calculus. 58% of juniors in Belvidere and 49% of juniors in Byron took Statistics while the rest took Calculus in each district. No juniors took both Statistics and Calculus. a.Describe this situation using a tree diagram. b.Find the probability that a randomly selected student from in the study took Statistics.
- The source depicts the results of a fictional study investigating whether the number of hours of sleep a person gets varies with his or her gender(male,female) and with the number of energy drinks that he or she consumes in a day. Equal numbers of men and women were randomly assigned to drink either 0, 1, or 2 energy drinks during the course of a day and then record the number of hours they slept that night. Table: Coffee and Sleep Source SS df MS F Gender 0.250 1 0.250 0.283 Energy Drinks 81.556 2 40.778 46.180 Gender X Drinks 2.667 2 1.330 1.510 Within…An educational software company wants to compare the effectiveness of its computer animation for teaching biology with that of a textbook presentation. The company gives a biology pretest to each of a group of high school juniors, and then divides them into two groups. One group uses the animation, and the other studies the test. The company retests all students and compares the increase in biology test scores in the two groups b. If the group using the computer animation has a much higher average increase in test scores than the group using the textbook, what conclusions, if any, could the company drawAn angler fishes half of their time at East Delaney Lake, one quarter of their time at South Delaney Lake, and one quarter of their time at North Delaney Lake. Each lake has only two types of trout, brown trout and cutthroat trout. In East Delaney Lake, 6% of the trout are brown trout. In South Delaney Lake 64% of the trout are brown trout. In North Delaney Lake 69% of the trout are brown trout. Assume that any individual trout fish has the same chance of being caught by an angler spending time at that lake. Given that the angler caught a brown trout, what is the conditional probability that they caught the trout on North Delaney Lake? Use three decimal place accuracy.
- The figure to the right gives the responses of a group of 100 randomly selected college freshmen when asked for the highest academic degree that they intended to obtain. Four times as many students intended to obtain master's degrees as their highest degree than intended to obtain bachelor's degrees as their highest degree. The number of students intending to obtain bachelor's or master's degrees as their highest degree was 30 more than the number who intended to obtain other degrees as their highest degree. Let x, y, and z represent the number of students that intend to obtain a master's degree, bachelor's degree, or other (respectively). Use the Gauss–Jordan method for calculating inverses to determine the values of x, y, and z.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?A health researcher studying child birth is interested in the possible effect that smoking by the mother during pregnancy has on the baby's birth weight. To investigate, the researcher conducts an observational study by reviewing 400 records of women in their twenties who have recently given birth for the first time. For each record, he notes whether or not the woman smoked during pregnancy and the baby's birth weight, in addition to the woman's education level, and age. From the data, the researcher creates two groups: women in their twenties who smoked during pregnancy and women in their twenties who did not smoke during pregnancy. Then he compares the average birth weight between the two groups. (a)Why might the researcher have chosen to perform an observational study (by gathering information from past records) and not a randomized experiment (by assigning pregnant women to either the smoking or nonsmoking group at random)? Choose the best answer from the choices below. In a…
- The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 8 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 5 6 7 8 Store 1 889 699 534 398 432 213 252 929 Store 2 479 525 252 364 160 32 234 632 Difference(Store 1 - Store 2) 410 174 282 34 272 181 18 297 Send data to calculator Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding μd (which is μ…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. proceduralWhich model—the one for parliaments or the one for ministries (or cabinets)—presented in the article has the greater explanatory power? How can you tell?
