Example 6.27 described a study in which a person was asked to determine which of three t-shirts had been worn by her roommate by smelling the shirts.+ Suppose that instead of three shirts, each participant was asked to choose among five shirts and that the process was performed 5 times. If a person can't identify1her roommate by smell and is just picking a shirt at random, then x = number of correct identifications is a binomial random variable with n = 5 and p5(a) What are the possible values of x? (Enter your answers as a comma-separated list.)(b) For each possible value of x, find the associated probability p(x) and display the possible x values and p(x) values in a table. (Hint: See Example 6.27. Use a table or SALT. The values of x should be entered from least to greatest. Round your probabilities to three decimal places.)Xp(x)(c) Construct a histogram displaying the probability distribution of x.(x)d0.50.40.3USE SALT0.20.10.00 12X3 4 5(x)d0.50.40.30.20.10.00 1 2 3 4 5X(x)d0.50.40.30.20.10.00 1 2 3 4 5X(x)d0.50.40.30.20.10.00 12X34 5

Given x = number of correct identifications is a binomial random variable with n = 5 and .That is,…

Answered: Example 6.27 described a study in which…

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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Identify which of the following variables can be described by a binomial random variable. (a) Number of phone calls during an hour. [ Select ] (b) Number of coin tosses until heads occurs. [ Select ] (c) Number of correct answers on a multiple choice test with 20 questions when guessing and there are 5 choices for each question. binomial random variable (d) Number of people that are red-green color blind in a random selection of 100 people.
A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four different designs. Nine balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club was randomized to the pro did not know which type of ball was being hit. All 36 balls were hit (assuming the environmental conditions played no role). The resulting distances in yards were recorded and are shown in the following table: Design 1 Design 2 Design 3 Design 4 206.32 217.08 226.77 230.55 207.94 221.43 224.79 227.95 206.19 218.04 229.75 231.84 204.45 224.13 228.51 224.87 209.65 211.82 221.44 229.49 203.81 213.90 223.85 231.10 206.75 221.28 223.97 221.53 205.68 229.43 234.30 235.45 204.49 213.54 219.50 228.35 1. Before preforming an ANOVA, check the model…
One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 55 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 55 minutes for the cable technician to arrive. The customer asks a simple random sample of 4 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 62.1 minutes with a standard deviation of 8.3 minutes. Assume that the population distribution is approximately normal. Test the customer’s claim at the 0.05 level of significance. Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places.
A toll collector wonders if drivers are equally likely to choose each of the three lanes at his toll booth. He selects a random sample of 465 drivers that approach the booth when all three lanes are empty, so that the driver's choice isn't influenced by the cars already at the booth. The table below summarizes the data: Lane Left Center Right Number of drivers 137 159 169 Which of the following is an appropriate alternative hypothesis for addressing this question? Drivers are not equally likely to choose each of the three lanes O The observed number of drivers choosing each lane is equal. The observed number of drivers choosing each lane is different from the expected numbers. The proportion of drivers choosing each of the three lanes are equal. O The proportion of drivers choosing each of the three lanes are all different.
an automobile engineer claims that 1in 10 automobile accidents are due to driver fatigue . if a random sample of 5 accidents observed , then the probabilty that 3 accidentsare due to drive fatigue is
A QR code photographed in poor lighting, so that it can be difficult to distinguish black and white pixels. The gray color (X) in each pixel is therefore coded on a scale from 0 (white) to 100 (black). The true pixel value (without shadow) the code is Y = 0 for white, and Y = 1 for black. We treat X and Y as random variables. For the highlighted pixel in the figure is the gray color X = 20 and the true pixel value is white, i.e. Y = 0. We assume that QR codes are designed so that, on average, there are as many white as black pixels, which means that pY (0) = pY (1) = 1/2. In this situation, X is continuously distributed (0 ≤ X ≤ 100) and Y is discretely distributed, but we can still think about the simultaneous distribution of X and Y. We start by defining the conditional density of X, given the value of Y : fX|Y(x|0) = "Pixel is really white" fX|Y(x|1) =" Pixel is really balck " Use Bayes formula as given in the picture and find the probability for x = 20 like in the picture.
A travel company is investigating whether the average cost of a hotel stay in a certain city has increased over the past year. The company recorded the cost of a one-night stay for a Friday night in January of the current year and in the previous year for 31 hotels selected at random. The difference in cost (current year minus previous year) was calculated for each hotel. Which of the following is the appropriate test for the company’s investigation? A one-sample zz-test for a population mean A A one-sample tt-test for a sample mean B A one-sample zz-test for a population proportion C A matched-pairs tt-test for a mean difference D A two-sample tt-test for a difference between means E
A social psychologist hypothesized that a white person is more likely to cooperate with another person than a black person in a task requiring cooperation (this would be considerate an alternative hypothesis). To test this idea he conducted an experiment in which white subjects either worked on a task with a white person or black person (both of these “others” were confederates of the experimenter). Thirty-one subjects were randomly assigned to the “white-other” treatment (say this is treatment 1) and 31 were randomly assigned to the “black-other” treatment (this is treatment 2). If the mean cooperation scores, on a scale from 0 to 20, were 14 for those subjects in the “white-other” treatment and 12 for those in the “black-other” treatment, run an appropriate test to test the social psychologist’s hypothesis. Let us further say that the variance for the cooperation measure for the “white-other” treatment was = 2.48 and the variance for the “black-other” treatment was = 2.52. Use =0.05…
A researcher selects a sample from a population with a mean of 50 and administers a treatment to the individuals in the sample. If the treatment is expected to decrease scores, what is the correct statement for the alternative hypothesis for a one tailed test
A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four different designs. Nine balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club was randomized to the pro did not know which type of ball was being hit. All 36 balls were hit (assuming the environmental conditions played no role). The resulting distances in yards were recorded and are shown in the following table: Design 1 Design 2 Design 3 Design 4 206.32 217.08 226.77 230.55 207.94 221.43 224.79 227.95 206.19 218.04 229.75 231.84 204.45 224.13 228.51 224.87 209.65 211.82 221.44 229.49 203.81 213.90 223.85 231.10 206.75 221.28 223.97 221.53 205.68 229.43 234.30 235.45 204.49 213.54 219.50 228.35 Write a set of hypotheses to test the mean…
Each scenario shows the data used for a randomisation test on a difference in two proportions. Both have a sample size of n = 30, with half being assigned to Treatment A and half to Treatment B. Scenario 1 has a difference in proportions of 0.4. Scenario 2 has a difference in proportions of 0.2. If we ran a randomisation test for each scenario, the one that would result in a smaller tail proportion in the resulting re-randomisation distribution is: Scenario 2 Scenario 1 Data Yes Yes Data Yes Yes 01 4 LO 5 02 7 No 03 No 0.2 11 →No 05 11 0.4 06 0.7 10 67 8 No DO 4 09 B B 10
A production engineer wants to test the effect of four machines on the strength of the parts produced. Because there might be variability from one worker to another, the engineer decides to use a randomized block design, with the workers considered as blocks. Which of the following statements is true? Worker Machine 1 2 5 73 68 3 74 75 67 73 67 75 68 78 68 73 71 75 75 69 O a. There is a difference among the machine types at a = 0.05 level. b. The "Model F-value" of 7.38 implies the model is not significant c. The "Model F-value" of 5.38 implies the model is not significant d. There is no difference among the machine types at a = 0.05 level 23 3 47235 71

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