1) Explain why the result of two consecutive spins on a spinner are considered INDEPENDENT.
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- In a certain class of 25 students, 12% received A’s, 30% received B’s, 42% received C’s, and 12% received D’s. How many students failed the class?To say that two variables are confounded means that? Only one answer. A) they both vary at the same time B) as one variable changes, the other stays the same C) both of the variables have been held constant D) both variables are equally responsible for observed changes in the dependent variableIn a classic study of problem solving, Duncker (1945) asked participants to mount a candle on a wall in an upright position so that it would burn normally. One group was given a candle, a book of matches, and a box of tacks. A second group was given the same items, except that the tacks and the box were presented separately as two distinct items. The solution to this problem involves using the tacks to mount the box on the wall, creating a shelf for the candle. Duncker reasoned that the first group of participants would have trouble seeing a new function for the box (a shelf) because it was already serving a function (holding tacks). For each participant, the amount of time to solve the problem was recorded. Data similar to Duncker’s are as follows. Time to Solve Problem (in sec.) Box of Tacks Tacks and Box Separate 128 42 160…
- Head movement evaluations are important because disabled individuals may be able to operate communications aids using head motion. A paper reported the accompanying data on neck rotation (in degrees) for 14 subjects both in the clockwise direction (CL) and in the counterclockwise direction (CO). For purposes of this exercise, you can assume that the 14 subjects are representative of the population of adult Americans. Subject: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 CL: 57.5 35.7 54.5 56.8 51.1 70.8 77.3 51.6 54.7 63.6 59.2 59.2 55.8 38.4 CO: 44.4 52.1 60.2 52.7 47.2 65.6 71.4 48.8 53.1 66.3 59.8 47.5 64.5 34.8 Based on these data, is it reasonable to conclude that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction? Carry out a hypothesis test using a significance level of 0.01. (Use ?CL − ?CO.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. df = Use technology to find the P-value. (Round your…7. Explain the concept of a random vector ana now it induces a probabuity on the sets of the Borel fiei on R2.A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…
- I have a cup with 5 red M&Ms, 4 yellow, and 3 green ones. I draw six at random (without replacement, order does not matter).How many ways are there to draw six at random which give two of each color? For this problem, it can help to imagine that the M&Ms are numbered 1 - 12, with number 1-5 red, 6-9 yellow, and 10-12 green. After that, proceed like we did with Poker hands.An undergraduate psychology course only gives the grades of A, B, C, or F. The department has determined that there should be 20% A's given, 30% B's given, 40% C's, and 10% F's given as final grades for the course. For the spring 2021 semester, 400 students took the course and 100 students received A's, 100 students received B's, 150 students received C's and 50 students received F's, so taose are my obsérved frequencies. We want to do a Chi-square Multinomial Goodness of Fit test to see if our grading guidelines match up with what is actually happening. What is the expected frequency for the grade of C category? Round your answer to the tenths position.In a section of an English 201 class, the professor decides to be "generous" with the students and will grade the exam in a unique way. Grades will be assigned according to the follwing rule: the top receives A's, the next 20% receive B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Some may refer to this as "curving" The 40 grades were as follows: 30, 53, 88, 69, 77, 57, 58, 43, 63, 51, 69, 88, 86, 84, 50, 83, 91, 76, 57, 90, 45, 79, 41, 80, 62, 66, 71, 58, 92, 85, 57, 74, 63, 60, 99, 85, 70, 93, 67, 53 Do you think ths method of grading is fair to all students? Explain your answer 2. Under what circumstances would some students NOT like this method of grading? 3. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D 4. After doing the previous 3 parts explain the term "grading on a curve" what does it involve? what curve is it referring to?