State the null and alternative hypotheses.
Q: You may need to use the appropriate technology to answer this question. Consider the experimental…
A:
Q: vay that each method was used by 12 workers. The number of units assembled correctly was recorded,…
A: One-factor ANOVA model: In one factor ANOVA model only one factor is studied, that is only the…
Q: Three different methods for assembling a product were proposed by an industrial engineer. To…
A: a. The total number of workers is 30.
Q: Use the information provided to answer the questions. Population 2 Sample Size 15 13 Sample Mean…
A: We want to find pooled variance, degree of freedom, test statistics and rejection region Note:…
Q: I need help on how to answer this step by step using the data for repeated measures designs and the…
A: The hypotheses can be constructed as: H0: µd = 0 H1: µd ≠ 0 Assuming level of significance = 0.05…
Q: Use a = 0.05 to test for any significant difference in the means for the three assembly methods.…
A: The dependent variable is the no. of units assembled correctly. There are three methods. No. of…
Q: The following data are from a completely randomized design. [Multiple choice with single answer]…
A: Given data, Treatment A Treatment B Treatment C 30 40 40 36 38 40 33…
Q: A supermarket chain packages ground beef using meat trays of two sizes: one that holds approximately…
A: Given that, a supermarket chain packages ground beef using meat trays of two sizes: one that holds…
Q: Consider the experimental results for the following randomized block design. Make the calculations…
A: Two way ANOVA:The ANOVA (Analysis of variance) test compares the means of different samples and the…
Q: - μ2 ≥ 0 - μ2 < 0 42 5 B X2 = 269 $2 = 19 n2 = 8 ulate the value of the test statistic under the…
A: Given Xbar1=242 Xbar2=269 s1=25 s2=19 n1=8 n2=8
Q: TON 44 "A clinical psychologist wants to compare the efficacy of medication versus Cognitive…
A: Sample sizes of both group is n=22. First sample mean is x¯1=1.85. First sample variance is s12=8.93…
Q: Marketing strategists would like to predict consumer response to new products and their accompanying…
A: We know that, Test Statistic, t=(X1 bar -X2bar)/(√s12+s22)/n Where X bar is mean and s2 is Variance.…
Q: 2a) Find the equation of the Linear Regression line. (note: r-0.57580206) 2b) Plot the regression…
A: Given that, Xbar = 54 , Y bar = 135 Sx= 23.0759615, Sy= 13.5092561 And r= 0.57580206 Simple Linear…
Q: Three different methods for assembling a product were proposed by an industrial engineer. To…
A: Source of Variation Sum of squares Degree of freedom Mean square F P value Treatment 4500 2 2250…
Q: Answer the following multiple choice questions. You must show some relavent work and/or explanation…
A: The independent samples taken from three normally distributed population with equal variances.
Q: What does the following result statment mean? The results from the two replicates were within 2% of…
A: Solution: From the given information, the variance reduction of 40% and the power of 0.70 for…
Q: (a) State the null hypothesis H, and the alternative hypothesis H1. H, :0 H : 0 |(b) Determine the…
A:
Q: Three different methods for assembling a product were proposed by an industrial engineer. To…
A: Solution Number of groups = k = 3
Q: A marketing research firm wihes to compare the prices charged by 2 supermaket chains -Publi's and…
A:
Q: A bond analyst is analyzing the interest rates for equivalent municipal bonds issued by two…
A: State ASample size =n1=60Mean interest rate (%)= Population variance =State BSample size=n2= 60Mean…
Q: Four catalysts that may affect the concentration of one component in a three-component liquid…
A: A one-way ANOVA can be a fashion of statistical of statistical test that compares the variance means…
Q: No programming please. I don’t want a code as an answer.
A: Approach to solving the question:1. Calculate the non-centrality parameter (λ) using the given…
Q: Random samples that are drawn independently from two normally distributed populations yielded the…
A: From the hypotheses can be constructed as: Null hypothesis H0: σ12 = σ22 Alternative hypothesis H1:…
Q: e two methods. Method A Method B Sample Size n1 = 31 n2 = 26 Sample Variation s,? = 25 s2? = 12 cate…
A: Given, n1=31n2=26s21=25s22=12α=0.10
Q: Moen is a product line of faucets and other fixtures started by inventor Alfred M. Moen that is now…
A: Standard deviation of sample mean:
Q: Three different methods for assembling a product were proposed by an industrial engineer. To…
A: SST=10800SSTR=4520Number of methods for assembling a product that is r=3The number of employees…
Q: The Ertl Company is well-known for its high-quality die-cast metal alloy toy replicas of tractors…
A: Solution To test the hypothesis we will use chi square test for independence.
Q: Three different methods for assembling a product were proposed by an industrial engineer. To…
A: Solution: Given information: k= 3 groups Each group has 10 observation. n1=n2=n3=10n= 30 Total…
Q: Suppose we have the following information about two samples: Sample 1 Sample 2 n1=35 n2=45…
A: Given, Sample 1 Sample 2 n1=35 n2=45 x1=82 x2=79 s1=15 s2=18
Q: Three different methods for assembling a product were proposed by an industrial engineer. To…
A: There are 3 independent methods which follows normal distribution. We have to construct ANOVA table…
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 |
|
|
28 |
24 |
|
Sample Mean (in minutes) |
15 |
12 |
|
Sample Variance |
16 |
25 |
State the null and alternative hypotheses.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
- 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.(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 ONoThis 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:…In 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=
- 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.
- One of the two fire stations in a certain town responds to calls in the northern half of the town, and the other fire station responds to calls in the southern half of the town. The following is a list of response times (in minutes) for both of the fire stations (this data will be used for several problems). Both samples may be regarded as simple random samples from approximately normal populations so that the t- procedures are safe to use. Northern: 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 12 Sum = 192 Sum of Squared Deviations = 197.2 Southern: 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 12, 12, 12, 12, 13 Sum = 225 Sum of Squared Deviations = 231.5 Find and interpret a 95% confidence interval for the mean response time of the fire station that responds to calls in the northern part of town. Fill in blank 1 to report the bounds of the 95% Cl. Enter your answers as lower bound,upper bound with no…Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 42 employees were randomily selected and randomly assigned to the three proposed methods in such a way that each method was used by 14 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 - 14,150; SSTR - 4,510. (a) Set up the ANOVA table for this problem. (Round your values for MSE and F to two dedimal places, and your p-value to four decimal places.) Source Sum Degrees Mean p-value of Variation of Squares of Freedom Square 4510 2 2256 6.00 0.0056 Treatments 10000 27 37037 Error 14510 29 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. O Ha: Not all the population means are equal. O H: At least two…
