Three different assembly methods have been proposed for a new product. A completely randomized experimental design was chosen to deterr number of parts produced per hour, and 30 workers were randomly selected and assigned to use one of the proposed methods. The number o Method A в 95 94 100 75 100 93 92 94 88 99 56 66 73 77 60 92 91 74 100 85 83 87 72 74 91 89 86 93 82 85 Use these data and test to see whether the mean number of parts produced is the same with each method. Use a = 0.05. Compute the values identified below (to whole number).
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- The Engineering group performed a factorial experiment to investigate the effect of paint primer type and application method on paint adhesion. The results for each combination of primer type and application method are shown below. Each combination has three specimens painted, then a finish paint was applied, and the adhesion force was measured. Compute for the following: (1) Sum of Squares, Degrees of Freedom, (3) Mean Square, (4) fo, and (5) P-Value for; (a) Primer types, (b) Application methods, (c) Interaction, (d) Error, and (e) Total. Write your complete solution and create a table for the results ANSWER C,D,EThree 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…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 98 92 99 74 99 95 94 93 86 99 55 66 72 77 58 91 90 76 99 86 83 85 74 71 91 89 87 97 85 89 Use these data and test to see whether the mean number of parts produced is the same with each method. Use a = 0.05. State the null and alternative hypotheses. O Ho: At least two of the population means are equal. H: At least two of the population means are different. O Ho: HA* HB # Hc Hạ: HA = HB = Hc O Ho: Not all the population means are equal. Ha: HA = HB = Hc O Ho: HA = HB = HC H: HA HB * Hc O Ho: HA = HB = Hc H: Not all the population means are equal.
- In this study, the protection of aquatic ecosystems is an important goal of Ville de Montréal. In particular, Thomas wants to see whether the contamination of creeks (ruisseaux in French) by Escherichia coli differs among the months of May, June, July, and August. Therefore, he randomly samples six creeks in different areas. For each creek, he collects water samples from May to August, and measures the amount of E. coli, expressed in colony forming units (CFU) per 100 mL of water. For each combination of a month and a creek, he thus obtains an E. coli contamination value, i.e., 24 observations in total. A preliminary statistical analysis produces the following results. 13-a) Does the mean E. coli contamination differ significantly among the four months? Justify your answer to this question with the result of a statistical test. Use α = 0.05. 13-b) Which pairs of months show significant differences in mean E. coli contamination? Explain your reasoning and justify your answer…The chemical benzene is highly toxic to humans. However, it is used in the manufacture of many medicine dyes, leather, and coverings. Government regulations dictate that for any production process involving benzene, the water in the output of the process must not exceed 7,950 parts per million (ppm) of benzene. For a particular process of concern, the water sample was collected by a manufacturer 25 times randomly and the sample average x was 7960 ppm. It is known from historical data that the standard deviation o is 100 ppm. (a) What is the probability that the sample average in this experiment would exceed the government limit if the population mean is equal to the limit? (b) Is an observed x = 7960 in this experiment a firm evidence that the population mean for the process exceeds the government limit? Assume that the distribution of benzene concentration is normal.Determine your independent and dependent variables, which type of ANOVA would you choose, and how much replication would be needed. Farmer Joe has eight different plots of land. He applies two different nitrogen levels randomly to each of the 8 plots, low and high. In addition, four different strawberry varieties are randomized within the plots. He is measuring mass of fruit for his outcome. I would like to see if there is a difference in birth weight among cat breeds. I will measure 5 different cat breeds.
- Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: ; .The tensile strength of UK cement is being studied. Four different mixing techniques can be used economically. A completely randomized experiment was conducted and the following data were collected: Mixing Technique Tensile Strength (Ib/in) 3129 3000 2865 2890 3200 3300 2975 3150 3 2800 2900 2985 3050 4 2600 2700 2600 2765Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 36 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 12 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 12,400; SSTR = 4,550.
- FIV (feline immunodeficiency virus) attacks a cat's immune system causing FAIDS (feline acquired immunodeficiency syndrome). It is estimated that between 2 and 25 percent of the global domestic cat population is infected with the virus. FIV is primarily transmitted from cat to cat through biting. A one-step immunochromatographic (IC) test has been developed for the detection of FIV antibodies. It is estimated that 94.7% of cats with FIV test positive and 96.1% of cats without FIV test negative using this test. Assume that 5% of the local cat population is actually infected with FIV. Use this information to answer the following: (a) For a population of 100 000 cats: (i) how many are estimated to be infected with FIV? (ii) how many of the cats in (a)(i) will test positive? (b) Use your answers from (a) to help construct a 2 × 2 table of counts displaying the results for this sample. Complete the table. Estimate the proportion of local cats that would test negative for FIV but actually be…FIV (feline immunodeficiency virus) attacks a cat's immune system causing FAIDS (feline acquired immunodeficiency syndrome). It is estimated that between 2 and 25 percent of the global domestic cat population is infected with the virus. FIV is primarily transmitted from cat to cat through biting. A one-step immunochromatographic (IC) test has been developed for the detection of FIV antibodies. It is estimated that 94.7% of cats with FIV test positive and 96.1% of cats without FIV test negative using this test. Assume that 5% of the local cat population is actually infected with FIV.Use this information to answer the following: (a) For a population of 100 000 cats:i. how many are estimated to be infected with FIV?ii. how many of the cats in (a)(i) will test positive? (b) Use your answers from (a) to help construct a 2 x 2 table of counts displaying the results for this sample. Complete the table. (c) Estimate the proportion of local cats that would test negative for FIV but…Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST =10,890; SSTR =4600. a. Set up the ANOVA table for this problem (to 2 decimals but p-value to 4 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total b.Use a 0.05 to test for any significant difference in the means for the three assembly methods. %3D Calculate the value of the test statistic (to 2 decimals). The p-value is - Select your answer - What is your conclusion? - Select your answer -