A company (Company A) supplies microprocessors to amanufacturer (Company B) of electronic equipment.The microprocessors are supplied in batches of 50.Rather than test all microprocessors in a batch, company Bselects 10 at random from a batch and tests these 10selected.Suppose a particular batch has 6 defective microprocessors.Let X be the number of defective microprocessors in therandom sample of 10 that company B tests.Then, X is hypergeometrically distributed with parameters N%3Dk =

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Answered: A company (Company A) supplies…

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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A family consisting of three people-P₁, P2, and P3-belongs to a medical clinic that always has a physician at each of stations 1, 2, and 3. During a certain week, each member of the family visits the clinic exactly once and is randomly assigned to a station. One experimental outcome is (1, 2, 1), which means that P₁ is assigned to station 1, P₂ to station 2, and P3 to station 1. Using the outcomes for the chance experiment, identify outcomes in each of the following events. Let A be the event that all three people go to the same station, B be the event that all three people go to different stations, and C be the event that no one goes to station 3. (a) BC BC = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 2, 1), (1, 2, 2), (1, 3, 1), (1, 3, 3), (2, 1, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2), (2, 2, 3), (2, 3, 2), (2, 3, 3), (3, 1, 1), (3, 1, 3), (3, 2, 2), (3, 2, 3), (3, 3, 1), (3, 3, 2), (3, 3, 3)} {(1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 2, 1), (1, 2, 2), (1, 3, 1), (1, 3, 2), (1, 3, 3), (2, 1, 1),…
A teacher believes that students who study more than four hours for her tests will do better than students who do not study for her tests. To test this belief, the teacher recruited 16 students and randomly assigned them to two groups: G1: a group of n1=8 students that studied more than four hours for her test, and G2: a group of n2=8 students that did not study for her test. The following are the data from G1, who studied more than four hours for the test: n1=8 M1=85 s1=5 (this is the standard deviation of the sample, dividing the sum of squares by n1) The following are the data from G2, who did not study for the test: n2=8 M2=75 s2=4 (this is the standard deviation of the sample, dividing the sum of squares by n2) Perform a t-test by answering the questions below. Use an alpha-level of α=.05. 0. Using formulas from Section 4, compute the estimates of the population variances, est. σ12 and est. σ22 (from s1 and s2 above). 1. What is the research…
V Based on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan as compared to their existing drug, Exemor. A random sample of 414 depressed individuals is selected and treated with Resithan, and 191 find relief from their depression. A random sample of 557 depressed individuals is independently selected from the first sample and treated with Exemor, and 213 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.05 level of significance, that the proportion p₁ of all depressed individuals taking Resithan who find relief from depression is greater than the proportion p₂ of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in…
In a study of fertilizers, researchers randomly selected 25 corn farms that use Brand A fertilizer and 25 corn farms that use Brand B fertilizer to participate. Each corn farm that uses Brand A was matched with a corn farm of similar acreage and soil type that uses Brand B. The difference in the number of bushels of corn produced in one growing season was determined for each pair. What type of study is this? (A) An observational study (B) An uncontrolled experiment (C) A randomized comparative experiment (D) A matched pairs experiment (E) A randomized complete block design experiment
A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting a random sample of 10 workers and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the table below. Worker 1 2 3 4 5 6 7 8 9 10 Process 1 37 50 62 39 80 85 85 42 45 68 Process 2 46 31 48 52 78 83 54 54 24 39 Difference(Process 1 - Process 2) −9 19 14 −13 2 2 31 −12 21 29 Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes…
A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 400,000 children were randomly divided in two groups. The subjects in group 1 (the experimental group) were given the vaccine, while the subjects in group 2 (the control group) were given a placebo. Of the 200,000 children in the experimental group, 41 developed the disease. Of the 200,000 children in the control group, 109 developed the disease. Complete parts (a) through (f) below. (d) What is a placebo? OA. An innocuous medication OB. Whatever does the opposite of the actual medication OC. A pill OD. Water (e) Why is such a large number of subjects needed for this study? OA. The number of subjects is so large because the vaccine is very effective. OB. The number of subjects is so large because a large sample size is needed to ensure that the samples are independent. OC. The number of subjects is so large because these are clinical trials, which require a…
In a study of chromosomal anomalies observed in a randomly selected sample of 1200 infertile men with either a zero or low sperm count, a team of researchers assigned the value of 1 for the presence of any chromosomal anomaly in the subject's sperm and the value of 0 for the absence of all chromosomal anomalies in the subject's sperm.Of the 600 men with zero sperm count, 48 had chromosomal anomalies. Of the 600 men with low sperm count, 15 had chromosomal anomalies. The researchers would like to test the hypothesesHo: P1 = P2Ha: P1 does not equal P2where p₁ the true proportion of all men with zero sperm count that have chromosomal anomalies and p₂ = the true proportion of all men with low sperm count that have chromosomal anomalies.What is the z standardized test statistic, for this test?
A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting 8 workers at random and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in the table below. Worker 1 2 3 4 5 6 7 8 Process 1 64 65 32 76 76 90 75 71 Process 2 62 73 9 61 53 93 77 77 52 Difference 2 -8 23 15 23 (Process 1 - Process 2) 33 -3 -2 19 Send data to calculator Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding Hd (which is μ with a letter "d" subscript), the population mean difference in assembly times for the two processes.…
A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Tread wear can vary considerably depending on the type of car, and the group is trying to eliminate this effect by installing the two brands on the same 10 cars, chosen at random. In particular, each car has one tire of each brand on its front wheels, with half of the cars chosen at random to have Brand 1 on the left front wheel, and the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches) is recorded, as shown in the table below. Car 1 2 3 4 5 6 7 8 9 10 Brand 1 0.46 0.59 0.48 0.62 0.40 0.42 0.59 0.54 0.42 0.42 Brand 2 0.32 0.41 0.37 0.43 0.24 0.49 0.51 0.44 0.44 0.44 0.14 Difference (Brand 1- Brand 2) 0.18 0.10 0.11 0.19 0.16 -0.07 0.08 -0.02 -0.02 Send data to calculator V Based on these data, can the consumer group conclude, at the 0.05 level of significance, that the mean tread wears of the…
One year at a university, the algebra course director decided to experiment with a new teaching method that might reduce variability in final-exam scores by eliminating lower scores. The director randomly divided the algebra students who were registered for class at 9:40 A.M. into two groups. One of the groups, called the control group, was taught the usual algebra course; the other group, called the experimental group, was taught by the new teaching method. Both classes covered the same material, took the same unit quizzes, and took the same final exam at the same time. The final-exam scores (out of 40 possible) for the two groups are shown in the accompanying table. Find a 99% confidence interval for the ratio of the population standard deviations of final-exam scores for students taught by the conventional method and for students taught by the new method. Assume that both populations are normally distributed. (Note: s₁ = 6.613, $₂ = 5.762, and for df = (19,40), F0.005 = 2.63.) Click…
Suppose a consumer affairs representative for Mars Incorporated claims that M&M’s plain chocolate candies are mixed such that each large production batch has the following percentages of colored candies: 20% brown, 20% yellow, 10% red, 20% orange, 10% green, and 20% blue. To test this claim, a professor distributed small sample bags of M&M’s to students and had them count the number of candies of each color. The counts of the students were then pooled with the following results. At α=0.05, determine whether there is sufficient evidence to conclude that the percentages are different from what the representative claims. Candy Colors Brown Yellow Red Orange Green Blue Number of candies 190 185 110 168 117 189 Copy Data Step 3 of 4 : Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places.
A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π1 and π2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively. If the firm wanted to test whether a greater proportion of workers would currently like to attend a self-improvement course than in the past, which represents the relevant hypotheses? A. H0:π1−π2≠0 versus H1:π1−π2=0 B. H0:π1−π2≥0 versus H1:π1−π2<0 C. H0:π1−π2≤0 versus H1:π1−π2>0 D. H0:π1−π2=0 versus H1:π1−π2≠0

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