For items 1-2: A company that manufactures a low-calorie dairy drink wants to determine whetherthere is preference for the new formula (Formula B) over the standard formula (Formula A). Fourjudges are asked to drink two glasses in random order, one glass containing Formula A and theother containing Formula B. Each judge is asked which glass they prefer. Based on earlier tests,both formulas are equally preferred. Let Y be the number of judges in the current test that preferthe new formula.2. What is the probability that at least three judges prefer the new formula?O 0.0625O 0.2500O 0.3125O 0.5000

Given that, a company that manufactures a low-calorie dairy drink wants to determine whether there…

Answered: For items 1-2: A company that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let A and B be the two possible outcomes of an experiment and suppose P(A) = 0.4, P(AUB) = 0.7 And P(B) = P. (i) For what choice of p are A and B mutually exclusive? (ii) For what choice of p are A and B independent?
Use the following for questions 24 to 26: A large office building has four entrances through which people can enter. One of the four entrances has had improved landscaping installed. An industrial psychologist wanted to see if people tend to use the entrance that has the improved landscaping more often. Using the buildings video surveillance system he randomly selected 200 people who entered the building. He found that 80 (40%) of the 200 entered through the improved entrance. He would like to determine if this is significantly more than we would expect if all the entrances were equally likely. To determine this he will conduct a test of Ho: p=0.25 vs. Ha: p>0.25. 24. In carrying out his test what null distribution should he use? (0.4)(1-0.4) a. A normal distribution centered at 0.25 with standard deviation 200 (0.4)(1-0.4) b. A normal distribution centered at 0.40 with standard deviation 200 (0.25)(1-0.25) С. A normal distribution centered at 0.40 with standard deviation 200…
A manufacturer of automobile shock absorbers was interested in comparing the durability of its shock absorbers with that of the shock absorbers produced by its biggest competitor. To make the comparison, one of the manufacturer's and one of the competitor's shock absorbers were randomly selected and installed on the rear wheels of each of six cars. After the cars had been driven 20,000 kilometres, the strength of each test shock absorbers was measured, coded and recorded. It is given that the population variances are equal for both groups. The results of the examination are shown in the Table below. Manufacturer's shock absorbers Car number 1 8.8 Competitor's shock absorbers 8.4 10.1 2 10.5 3 12.5 12.0 4 9.7 9.3 5 9.6 9.0 6 13.2 13.0 Determine whether there is sufficient evidence to conclude that there is a difference in the mean strength of the two types of shock absorbers after 20,000 kilometres of use by using a level of significance of 0.05.
A telemarketer is trying two different sales pitches to sell a carpetcleaning service. For Sales Pitch I, he contacted 175 people and 62 of these people bought the cleaning service. For Sales Pitch II, he contacted 154 people and 45 of these people bought the cleaning service. Does this indicate that there is any difference in the population proportions of the people who will buy the cleaning service, depending on which sales pitch he uses? Use α = 0.05.
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The manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller than the proportion of households from B. In order to test this, the manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.
A marketing manager for Nike purchased a 30 second time slot during the Super Bowl for advertising its new line of running clothes. The manager wants to determine if the commercial should be informative or funny. She pays for one informative and one funny commercial to be created. She recruits a sample of 100 volunteers and randomly assigns them to watch one of the two commercials and rates their interest in purchasing the clothes. Here are the results: Opinion Not interested Somewhat interested Very interested Informative 11 30 Ad Type Funny 36 19 Which of the following conditions for a test have not been met? O The data come from independent random samples or groups in a randomized experiment O More than one condition has not been met. O All of the conditions have been met. O All expected counts are at least 5. O The sample size is less than 10% of the population size. NEW FOR YOU: 40%
At an assembly plant, workers assemble parts for a piece of farm equipment. The supervisor conducted an experiment to compare the effectiveness of three assembly methods, A, B, and C. Eighteen employees were randomly assigned, six employees each, to one of the three methods. After completing their training, each person was asked to assemble five pieces of equipment using his or her training method. The average time to complete the assembly of all five pieces of equipment was recorded. (a) What type of study design is used? O independent groups design O repeated measures design O matched pairs design O randomized block design What are the experimental units in this study? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods O the average time to assemble five pieces of equipment (b) What are the treatments? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods the average time to assemble five pieces of…
There exists 2 treatments for a specific illness. One uses pills, and the other infrared pulses. To measure the illness, you measure the level of the a particular marker in the blood; the higher the marker, the worse the disease. Which of the following tests the claim that the infrared pulse treatment improves outcomes better ?
1. For her botany class project, Jennifer wonders if there is a connection between the average weight of watermelons a vine produces and the root depth of the vine. Jennifer suspects that vines with deeper roots have a better water supply and produce larger melons. From a large watermelon field, 10 vines are chosen at random. At the end of 8 weeks, the watermelons are removed from each vine and the average weight of the watermelons from each vine is determined. Each plant is carefully dug up and its root depth (or length) is measure. Let x represent the root depth (to the nearest inch) and y be the mean weight of the watermelons on the vine (in pounds). Suppose that x = 17, s, = 6, y = 12, s, = 5.1, and r = = 0.93. a. Find the equation of the least squares regression line (round a and b to the nearest tenth). b. List 2 points that you know will be on the least-squares line you found in part a. c. What percent of variation is accounted for by a linear relationship? d. Using part a.,…

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