A company (Company A) supplies microprocessors to a manufacturer (Company B) ofelectronic equipment.The microprocessors are supplied in batches of 50.Rather than test all microprocessors in a batch, company B selects 10 at random froma batch and tests these 10 selected.Suppose a particular batch has 6 defective microprocessors.Let X be the number of defective microprocessors in the random sample of 10 thatcompany B tests.Then, X is hypergeometrically distributed with parameters N =, k =

There are 50 microprocessors in a batch out of them 6 are defective. 10 microprocessors are selected…

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 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…
On each trial of an experiment, a subject is presented with a constant soft noise, which is interrupted at some unpredictable time by a noticeably louder sound. The time it takes for the subject to react to this louder sound is recorded. The following list contains the reaction times (in milliseconds) for the 16 trials of this experiment: 285, 175, 164, 217, 273, 222, 212, 202, 236, 229, 171, 235, 193, 186, 261, 241 Send data to calculator th Find 40" and 75" percentiles for these reaction times. (a) The 40 th percentile: || milliseconds (Ь) The 75 th percentile: milliseconds
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 8 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 Table 1. Worker Process 1 Process 2 Difference(Process 1 - Process 2) 1 34 12 22 2 86 65 21 3 67 36 31 4 81 70 11 5 35 8 27 6 54 46 8 7 71 31 40 8 57 57 0 Table 1 Based on these data, can the company conclude, at the 0.10 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding μd (which is μ with a letter "d" subscript), the population mean difference in…
A certain type of digital camera comes in either a 3-megapixel version or a 4-megapixel version. A camera store has received a shipment of 15 of these cameras, of which 6 have a 3-megapixel resolution. Suppose that 5 of these cameras are randomly selected to be stored behind the counter; the other 10 are placed in a storeroom. Let X= the number of 3-megapixel cameras among the 5 selected for behind-the-counter storage. a. What kind of a distribution does X have (name and values of all parameters)? b. Compute P(X=2), P(X≤2), and P(X≥2). c. Calculate the mean value and standard deviation of X.
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 researcher is interested in the effect of listening to music on knowledge acquisition. She randomly selects 82 students from her Introduction to Psychology course to participate. Half of the selected students is asked to listen to music of their choice while studying for an exam and the other half is asked not to listen to any music while studying. After the exam, she computes the exam scores and obtains results presented below. Can the researcher conclude that there is an effect of listening to music on knowledge acquisition? Conduct the appropriate statistical test (two-tailed) with a = .05. Music group (m) O dependent samples t test one sample t test independent samples t test X 97.3 m S = 9.0 m Based on the information provided above, which statistical test seems most appropriate? z test No music group (nm) X = 93.1 nm S nm = 10.0
A researcher is interested in the effect of listening to music on knowledge acquisition. She randomly selects 82 students from her Introduction to Psychology course to participate. Half of the selected students is asked to listen to music of their choice while studying for an exam and the other half is asked not to listen to any music while studying. After the exam, she computes the exam scores and obtains results presented below. Can the researcher conclude that there is an effect of listening to music on knowledge acquisition? Conduct the appropriate statistical test (two-tailed) with a = .05. Music group (m) X 97.3 m s = 9.0 m Which of the following values is the value of the test statistic in this analysis? 1.49 2.00 4.41 2.10 No music group (nm) X = 93.1 nm S nm = 10.0
Hydroxychloroquine is a drug sometimes used to treat malaria or rheumatoid arthritis. This drug has recently received some notoriety as a possible treatment for those suffering from Covid-19. A hydroxychloroquine tablet comes in a 200 mg strength, but hydroxychloroquine dosage may be anywhere from 200 to 1200 mg. Thus, a patient must take multiple pills. Suppose X is the number of pills taken by a randomly selected hydroxychloroquine patient. Then according to JJSDA, x has the following probability mass function, p(x), and cumulative distribution function F(x). 1 2 4 p(x) .04 .27 .35 .10 07 F(x) .04 .31 a .83 .93 1 a. If F is the cumulative distribution function of x, then what is the value of a? b. If p is the probability mass function for x, then evaluate b. c. What is the expected value of x? d. Calculate the variance of x. e. What is the variance of 0.7*x? f. The CDC 'randomly' checks the dosage of 10 hydroxychloroquine patients. What is the probability that exactly 4 of the…
On each trial of an experiment, a subject is presented with a constant soft noise, which is interrupted at some unpredictable time by a noticeably louder sound. The time it takes for the subject to react to this louder sound is recorded. The following list contains the reaction times (in milliseconds) for the 19 trials of this experiment: 171, 212, 285, 175, 202, 269, 193, 217, 164, 231, 261, 236, 186, 257, 271, 229, 250, 296, 226 Send data to calculator Find 20th and 75th percentiles for these reaction times. (If necessary, consult a list of formulas.) (a) The 20th percentile: milliseconds (b) The 75th percentile: milliseconds
On each trial of an experiment, a subject is presented with a constant soft noise, which is interrupted at some unpredictable time by a noticeably louder sound. The time it takes for the subject to react to this louder sound is recorded. The fallowing list contains the reaction times (in milliseconds) for the 16 trials of this experiment: 241, 271. 261, 164, 257, 193. 186, 222, 226, 212, 152, 273, 217, 171, 175, 202 Send date to caleulator Find 40 and 75" percentiles for these reaction times. (a) The 40 percentile: Imilliseconds (b) The 75t percentile: miliseconds
19
On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for 26 trials of this experiment. 156, 202, 214, 222, 234, 250, 279, 280, 280, 297, 298, 299, 301, 303, 311, 329, 340, 358, 373, 394, 419, 436, 451, 583, 701, 864 Send data to Excel Aa Frequency 12 12- 10 10- 8- 6. 4. 2 2- 150 300 450 600 750 1000 Reaction time (in milliseconds)

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