State the null and alternative hypotheses.
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Zip, Inc. manufactures Zip drives on two different manufacturing processes. Because the management of this company is interested in determining if process 1 takes more manufacturing time, they selected independent samples from each process. The results of the samples are shown below.
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Process 1 |
Process 2 |
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28 |
24 |
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Sample Mean (in minutes) |
15 |
12 |
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Sample Variance |
16 |
25 |
State the null and alternative hypotheses.
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- A) find the critical value(s) assuming that the population variances are equal . B) Find the critical value (s) assuming that they population variances are not equal.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 -(a) State the null hypothesis H, and the alternative hypothesis H . Ho H :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the population variance for group 1 is greater than the population variance for group 2? O Yes ONo
- This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise You may need to use the appropriate technology to answer this question. A sample of 21 items from population 1 has a sample variance s₁² = 5.5 and a sample of 26 items from population 2 has a sample variance s₂² = 2.25. Test the following hypotheses at the 0.05 level of significance. Ho: H₂:₁² (a) What is your conclusion using the p-value approach? (b) Repeat the test using the critical value approach. Step 1 (a) What is your conclusion using the p-value approach? A hypothesis test comparing two population variances uses the F distribution. The F distribution is not symmetric and its shape will depend on two values of degrees of freedom, a numerator and denominator degrees of freedom. It is important to note that the values will never be negative. The F…Zip, Inc. manufactures Zip drives on two different manufacturing processes. Because the management of this company is interested in determining if process 1 takes more manufacturing time, they selected independent samples from each process. The results of the samples are shown below. Process 1 Process 2 Sample Size 28 24 Sample Mean (in minutes) 15 12 Sample Variance 16 25 Using α = 0.01, test to determine if there is sufficient evidence to indicate that process 1 takes a significantly shorter time to manufacture the Zip drives. What is your conclusion? Choose the correct one. Group of answer choices p-value is between 0.01 and 0.005, thus, reject H0 and conclude process 1 does not take longer time. p-value is between 0.01 and 0.025, thus, do not reject H0 and conclude process 1 does take longer time. p-value is less than 0.005, thus, reject H0 and conclude process 1 takes longer time. p-value is between 0.01 and 0.025, thus, do not…Three 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 = 12,120; SSTR = 4,540. (a) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source Sum Mean Degrees of Freedom F p-value of Variation of Squares Square Treatments 4540 2270 9.88 Error 7580 33 229.70 Total 12120 35 (b) Use a = 0.05 to test for any significant difference in the means for the three assembly methods. State the null and alternative hypotheses. Ho: H1 = "2 = H3 Ha: H1 * 42 + H3 Ho: H1 # H2 # 43 Ha: H1 = #2 = #3 Ho:…
- 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-10,850; SSTR-4,570 a. Set up the ANOVA table for this problem (to 2 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value (to 4 decimals) Treatments Error Total buse a 05 to test for any significant difference in the means for the three assembly methods. Calculate the value of the test statistic (to 2 decimals) The p-value is Select your answer What is your conclusion -Select your answer bep < (A₁ 3In order to compare the life expectancies of three different brands of tires, 5 tires of each brand were randomly selected and were subjected to standard wear-testing procedures. Information regarding the three brands is shown below. Stone Bridge Michelle Nice Year Mean mileage (in 1000 miles) 42 46 41 Sample variance 3 2 5 Sample Size 5 5 5 Use the above data and test to see if the mean mileage for all three brands of tires is the same. Let α = .05. Complete the ANOVA table and show the details of calculation. a) State the null and alaternative hypotheses to be tested. b) Complete the table. The null hypothesis is to be tested at 95% confidence. You need to show all calculations. What do you conclude? Source of variation SS df MS F F critcal value Between Treatment SSTR= MSTR= Within Treatment SSE= MSE= Total SST=1: Two random samples taken from two normal populations yielded the following information: Sample size nz = 9 Sample variance s? = 45 Sample 1 2 n2 = 31 %3D %3D iii. Perform the test the hypotheses Ho: of = ož vs. H1: o? # ož at the 5% level of significance.
- 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 =10,870; SSTR =4580. 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 4580 Error 6290 Total 10870 b.Use a = 0.05 to test for any significant difference in the means for the three assembly methods. Calculate the value of the test statistic (to 2 decimals). The p-value is - Select your answer - What is your conclusion? Select your answer -Three 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 = 12,750; SSTR = 4,510. (a) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source Degrees of Freedom Sum Mean of Variation of Squares Square p-value Treatments Error Total (b) Use a = 0.05 to test for any significant difference in the means for the three assembly methods. State the null and alternative hypotheses. Ho: H H2 H3 H H- H2=H3 O Ho: Hy=H2-H H H H2 Hy Ho: At least two of the population means are equal. H3: At least…Solve both parts 3 and 4 of the question below using a two-sample z test. Show all work and steps.
