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 greanumber 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.MethodAВC959410075100939294889956667377609291741008583877274918986938285Use 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).Sum of Squares, TreatmentSum of Squares, ErrorMean Squares, TreatmentMean Squares, ErrorCalculate the value of the F-test statistic (to 2 decimals).The p-value is- Select your answer - ABC959410075100939294889956667377609291741008583877274918986938285Use 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).Sum of Squares, TreatmentSum of Squares, ErrorMean Squares, TreatmentMean Squares, ErrorCalculate the value of the F-test statistic (to 2 decimals).The p-value isSelect your answer -What is your conclusion?- Select your answer - v that the means are not equal.

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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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Three fertilizers are studied for their effect on yield in an orange grove. Nine plots of land are used, divided into blocks of three plots each. A randomized complete block design is used, with each fertilizer applied once in each block. The results, in pounds of harvested fruit, are presented below. The data can also be downloaded here Fertilizer.csv Download. Fertilizer Plot 1 Plot 2 Plot 3 A 327 456 273 B 401 546 320 C 304 440 235 Test Fertilizer Effect, can we conclude that the mean yields differ among the fertilizers? Answer Yes or No. .What is the value of the F statistic for this test? .What is the p-value of the test? .
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
A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Five hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%. Calculate the predictive value of a positive test.
Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at a popular breakfast place is shown in Table 11.55. Conduct a test for homogeneity at a 5% level of significance. French Toast Pancakes Waffles Omelettes Men 47 35 28 53 Women 65 59 55 60
A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use α = 0.05. Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8 Entry failures 44 42 53 56 62 53 48 43 Exit failures 48 50 55 60 57 48 50 48 Click here for the Excel Data File (b) Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) (c) Find the critical value tcrit for α = 0.05. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) (d) Find the p-value. (Round your answer to 4 decimal places.) (e) State your conclusion. Automated Gate: Number of…
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 newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use α = 0.05. Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8 Entry failures 40 42 53 55 62 54 50 42 Exit failures 47 52 56 56 60 46 52 45 (b) Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) tcalc (c) Find the critical value tcrit for α = 0.05. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) tcrit (d) Find the p-value. (Round your answer to 4 decimal places.) p-value
60 illiterate preschool children were randomly divided into four groups of 15 children. Each group used a different method to teach reading skills. Afterwards, reading skills were tested with the following results.Group X ̄i group Xi S2i 1 65 224 2 62 241 3 68 233 4 61 245 Test the null hypothesis that the methods are equally effective. Use a five percent significance level. Functions from excel or R should not be used to test this.
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use α = 0.05. Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8 Entry failures 44 42 53 56 62 53 48 43 Exit failures 48 50 55 60 57 48 50 48 Click here for the Excel Data File (a) Choose the appropriate hypotheses. Define the difference as Entry − Exit. multiple choice H0: μd = 0 versus H1: μd ≠ 0 H0: μd ≥ 0 versus H1: μd < 0 H0: μd ≤ 0 versus H1: μd > 0 Automated Gate: Number of Entry/Exit Failures Entry Exit In row format: Truck 1 44 48 Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8 Truck 2…
A study of fox rabies in a country gave the following information about different regions and the occurrence of rabies in each region. A random sample of n1 = 16 locations in region I gave the following information about the number of cases of fox rabies near that location. x1: Region I Data 1 9 9 9 7 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 1 1 5 1 6 8 5 4 4 4 2 2 5 6 9 What is the value of the sample test statistic? (Test the difference μ1 − μ2. Do not use rounded values. Round your final answer to three decimal places.)
An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of the courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 205 Fundash runners and 260 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 205 Fundash runners complete the course with a mean time of 77.6 minutes and a standard deviation of 8.2 minutes. The 260 individuals complete Coolsprint with a mean time of 76.0 minutes and a standard deviation of 7.7 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, u,, of Fundash is greater than…

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