1. Four different machines, M1, M2, M3, and M4, are being considered for the assembling ofa particular product. It is decided that 6 different operators are to be used in arandomized block experiment to compare the machines. The machines are assigned ina random order to each operator. The operation of the machines requires physicaldexterity, and it is anticipated that there will be a difference among the operators in thespeed with which they operate the machines. The amount of time (in seconds) wererecorded for assembling the product:OperatorMachine 1Machine 2Machine 3Machine 4142.539.840.241.339.340.140.542.239.640.541.343.539.942.343.444.242.543.144.942.943.645.945.142.3Test the hypothesis that the machines perform at the same mean rate of speed at a =0.05.%3D234 56

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Answered: 1. Four different machines, M1, M2, M3,…

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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The average worker at a local brake manufacturer produces 10 brakes per day (other statistical information was not known). An industrial psychologist was hired to increase worker productivity and a new assembly method was designed and tested in a sample of workers. Identify the appropriate test. Select one: a. independent samples t test b. z test c. single sample t test d. paired samples t test
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
A researcher has access to 100 participants for an independent sample design study, and she is hoping to achieve power = .80.What effect size will her data need to achieve to make that possible?
The improved crop varieties are evaluated at farmers fields before their release for a large scale production. The claim made by a chickpea breeder is that, on average, her improved variety produces higher yield of chickpea compared to the local variety grown by farmers in her region. To examine her claim, the improved variety of chickpea was evaluated at 25 randomly selected farmer-fields (farms) in that region. Each field was divided into two parts, one part of the field was randomly assigned to the improved variety to be grown under a crop management practice recommended for this variety, and the other part to the local variety with an ongoing practice followed for it. You may note there were 25 different fields and the two varieties were grown within each of them. The chickpea yields of the two varieties were measured, in kg per hectare, from each of the fields. The following R- code outputs contain the information that you may use to answer the questions. The data vectors,…
2) A local home inspector wants to test for lead levels in 10 homes using two different testing methods in each of the homes to determine the level of lead in each of the homes. Two different tests (A and B) are used to determine the level of lead found in each of ten randomly selected homes. The home inspector believes that Test A is more accurate than Test B. The data obtained, for lead level in each home using each method is shown in the table below. SPECIMEN 8| 9 2 3 4 6 7 10 A 22.7 23.6 24.0 26.6 27.2 28.7 35.0 32.5 44.1 47.3 Test B 23.0 23.2 23.5 25.6 27 27.1 33.2 35.3 40.5 47.8 a. Does this data provide convincing evidence to support the home inspectors claim? Provide a statistical justification to support your answer. b. What kind of error could you have made? What is one consequence of that error? c. Is the sample statistically significant at the 0.05 level? If not, at what significance level would these results be statistically significant at?
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 random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, 20 of them were given multivitamin tablets daily that contained 1 gram of vitamin C and 3 grams of various other vitamins and minerals. The remaining 20 volunteers were given tablets containing 4 grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the experiment the following data were obtained. Days to recover from flu Treated with 8.5, 5.6, 8.8. 6.1. 6.1. 3.3. 8.9, 6.0, 3.3, 9.7, 6.0, 9.3, 2.3, 4.6. 5.5.6.7. 6.6. 4.9. 10.0.6.6 multivitamin 6.5, 5.0, 3.2, 4.7, 3.5, 2.7, 3.8, 4.4, 4.6, 3.6, 4.0, 2.7, 3.2, 4.8, 6.3, 7.5, 6.9, 4.7, 4.8, 1.3 Treated with vitamin C Send data to calculator Send data to Excel Suppose that it is known that the population standard deviation of recovery time from the flu is 1.8 days when treated with multivitamins and that the population standard…
The operations manager for an appliance manufacturer wants to determine the optimal length of time for the washing cycle of a household clothes washer. An experiment is designed to measure the effect of detergent brand and washing cycle time on the amount of dirt removed from standard household laundry loads. Four brands of detergent (A,B,C,D) and four levels of washing cycles (18, 20, 22, and 24 minutes) are specifically selected for analysis. 32 standard household laundry loads (having equal weight and dirt) are randomly assigned to the 16 detergent-washing cycle time combinations. The results (in pounds of dirt removed) are: Washing Cycle Time (in Minutes) Brand 18 20 22 24 A 0.11 0.13 0.17 0.17 0.09 0.13 0.19 0.18 B 0.12 0.14 0.17 0.19 0.1 0.15 0.18 0.17 0.08 0.16 0.18 0.2 0.09 0.13 0.17 0.16 0.11 0.12 0.16 0.15 0.13 0.13 0.17 0.17 Perform a Two-way Analysis of Variance with Replication in Excel and output the ANOVA table assuming a 5% level of significance. Choose the correct…
It has been observed that some persons who suffer colitis, again suffer colitis within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 170 people in the first group and this group will be administered the new drug. There are 132 people in the second group and this group wil be administered a placebo. After one year, 14% of the first group has a second episode and 18% of the second group has a second episode. What is a 90% confidence interval for the difference in true proportion of the two groups/
YOU are in charge of a new products being launched by "Incredible Circuits". Mr. Eleck Trikal, C.E.O. of the company, has seen the need to calculate the Reliability of his new product after 10, 20, 30, and 50 hours of use. This new product is basically made with four components: A B, C, and D; and its design is included below: BAB As a good manufacturing engineer, you take 10 samples for each component, and test them until failure. The following are the times obtained: COMPONENT A: 8, 9, 18, 28, 35+, 43+, 59+, 65, 75, and 78 (+ means censoring) COMPONENT B: 8, 17+, 22, 29, 35, 39, 49+, 55, 59+, and 78 (+ means censoring) COMPONENT C: 2, 23, 24, 35+, 53, 55, 62+, 66+, 76, and 83 (+ means censoring) COMPONENT D: 3, 18, 24, 35, 38, 49, 58, 59, 66, and 79 (no censoring)
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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