Three different assembly methods have been proposed for a new product. Acompletely randomized experimental design was chosen to determine which assemblymethod results in the greatest number of parts produced per hour, and 30 workerswere randomly selected and assigned to use one of the proposed methods. Thenumber of units produced by each worker follows.MethodAВC959410075100939294889956667377609291741008583877274918986938285Use these data and test to see whether the mean number of parts produced is thesame with each method. Use a = 0.05. Mean Squares, ErrorCalculate the value of the F-test statistic (to 2 decimals).The p-value is| - Select your answer -What is your conclusion?- Select your answer - v that the means are not equal.

The test statistic F is given as F=MSbetween treatmentMSerror

Answered: Three different assembly methods have…

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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As products come off a large assembly line, they are inspected for quality. They are placed into one of three categories: pass, fail, or need additional inspection. The manager claims that 80% of the products pass the inspection, 5% fail, and 15% need additional inspection. In an effort to increase the passing rate, the machines are recalibrated. After this recalibration, a random sample of 100 products is selected. It is discovered that 85 passed inspection, 2 failed, and 13 needed additional inspection. The manager would like to know if there is convincing evidence that the distribution has changed. What is the value of the chi-square test statistic and P-value? Find the chi-square table here. χ2 = 2.38, P-value is less than 0.0005 χ2 = 2.38, P-value is greater than 0.25 χ2 = 5.10, P-value is less than 0.0005 χ2 = 5.10, P-value is greater than 0.25
Three different assembly methods have been proposed for a new product. A completely randomized experimental design was chosen to determine which assembly method results in the greatest number of parts produced per hour, and 30 workers were randomly selected and assigned to use one of the proposed methods. The number of units produced by each worker follows. Method A B C 96 92 99 72 99 94 94 92 88 99 56 66 74 78 60 90 92 76 100 85 85 87 72 72 91 91 88 107 83 72 #1) Use these data and test to see whether the mean number of parts produced is the same with each method. Use ? = 0.05. State the null and alternative hypotheses: A) H0: Not all the population means are equal.Ha: ?A = ?B = ?C B) H0: ?A = ?B = ?CHa: ?A ≠ ?B ≠ ?C C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?A = ?B = ?CHa: Not all the population means are equal. E) H0: ?A ≠ ?B ≠ ?CHa: ?A = ?B = ?C #2) Find the…
A study of fox rabies in southern Germany gave the following information about different regions and the occurrence of rabies in each region. A random sample of n1 = 16 locations in region 1 gave the following information about the number of cases of fox rabies near that location. x1: Region I Data 3 7 8 7 5 8 8 1 3 3 3 2 5 1 4 6 A second random sample of n2 = 15 locations in region II gave the following information about the number of cases of fox rabies near that location. x2: Region II Data 4 2 4 1 3 8 5 4 4 4 2 2 5 6 9 Note: If a two-sample t-test is appropriate, for degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.Use a calculator with sample mean and sample standard deviation keys to find x1 and s1 in region I, and x2 and s2 in region II. (Round your answers to two…
A company that makes robotic vacuums claims that their newest model of vacuum lasts, on average, two hours when starting on a full charge. To investigate this claim, a consumer group purchases a random sample of five vacuums of this model. They charge each unit fully and then measure the amount of time each unit runs. Here are the data (in hours): 2.2, 1.85, 2.15, 1.95, and 1.90. They would like to know if the data provide convincing evidence that the true mean run time differs from two hours. The consumer group plans to test the hypotheses H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model. Are the conditions for inference met? No, the random condition is not met. No, the 10% condition is not met. No, the Normal/large sample condition is not met. Yes, all conditions for inference are met.
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 422 depressed individuals is selected and treated with Resithan, and 167 find relief from their depression. A random sample of 579 depressed individuals is independently selected from the first sample and treated with Exemor, and 203 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.01 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…
A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows. Average Gas Mileage Driver Car A Car B Car C Car D Driver 1 3232 2222 3030 3939 Driver 2 2121 3939 3838 3737 Driver 3 2626 3131 3232 3939 Driver 4 3838 4040 2323 3434 Driver 5 3131 2929 2121 2222 Copy Data ANOVA Source of Variation SSSS dfdf MSMS Rows 174.2000174.2000 44 43.550043.5500 Columns 91.600091.6000 33 30.533330.5333 Error 607.4000607.4000 1212…
A selected, inbred rat strain had a tail measuring an average of 5.4 cm. An inbred, wild caught strain had 6.2 cm long tails. The selected and wild caught strains were crossed producing the F1 and F2 below. Generation Progeny Phenotype F1 20 5.8 cm F2 250 5 to 6.6 cm a) Assume that 4 genes control tail length. What is the average contribution per allele in the F2 generation? b) What proportion of the F2 would have tails 6 cm in length? c) Which of the following best describes the PARENTAL rat strains? AAbbCCDD x aaBBccdd AABBCCDD x aabbccdd AABBccdd x aabbCCDD d) How many offspring (approximately) in the F2 would have 5 cm long tails?
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…
An agronomist is interested in comparing the efficacy of two fumigants (A and B) and a control (O) in eliminating wireworms. A field is divided into 4 sections, each section containing 3 plots. Fumigant A, B and O were randomly assigned to one plot within each section. The number of wireworms that remained on each plot after application of fumigant was recorded. Give a possible RCBD layout for the experiment.
Consider the following data on the gain in weight (grams) of milkfish resulting from a stocking density and kind of feed experiment laid out in RCBD. Available for the experiments were three ponds from cooperators where each pond had 12 uniform compartments. The treatment combinations (axb) were randomly assigned to the compartments of each pond. Stocking Ponds Kind of Feed density 1 2 3 A1 В1 238.1 278.6 247.9 B2 189.9 233.4 220.1 B3 187.2 276.6 246.6 В4 170.2 191.9 177.8 A2 В1 151.4 199.9 184.3 B2 228.3 286.7 254.9 B3 164.9 212.7 176.2 В4 239.3 263.3 234.5 АЗ В1 119.6 144.4 110.6 B2 146.6 171.8 157.8 B3 139.2 145.1 135.6 В4 193.6 220.4 207.8 At 0.05 level of significance, test if there are significant effects of stocking density and kind of feed on the weight gain of milkfish.
A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows. Average Gas Mileage Driver Car A Car B Car C Car D Driver 1 3636 3636 3535 2929 Driver 2 2525 3737 3737 3838 Driver 3 2323 3939 2525 3636 Driver 4 2121 3838 3939 2727 Driver 5 2424 3434 3636 3030 Copy Data ANOVA Source of Variation SSSS dfdf MSMS Rows 47.500047.5000 44 11.875011.8750 Columns 334.9500334.9500 33 111.6500111.6500 Error 315.3000315.3000…

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