The mean tensile strengths of 4 different cotton blends (blends 1, 2, 3, 4) are being compared using an Analysis of Variance (ANOVA). For each blend, a random sample of size \( n = 11 \) fabric squares is taken. The sample variances are \( s_1^2 = 20.0 \), \( s_2^2 = 25.5 \), \( s_3^2 = 24.3 \), \( s_4^2 = 30.5 \). Given that the value of \( s_{\bar{x}}^2 = 8.8 \), calculate the value of the ANOVA test statistic. Enter your answer to two decimal places.**Hint**: One can check by the definition that the following is true:1. Treatment of mean squares: \( MS_{Trt} = n \cdot s_{\bar{x}}^2 \)2. Error of mean squares: \[ MS_E = \sum_{i=1}^{a} s_i^2 = s_1^2 + s_2^2 + s_3^2 + s_4^2 \]

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Answered: The mean tensile strengths of 4…

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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A producer of chocolate candy bars has developed an improved recipe for one of their most popular brands. They are conducting taste tests using randomly selected mall shoppers. One hundred shoppers were given the original recipe bar to taste and to rate it on a scale of 1 to 10. Another hundred shoppers were given the new recipe candy bar to taste and to rate it on a scale of 1 to 10. The results are in the table below for statistical analysis of variability between the two samples. All of these analyses are run wtih a 95% level of confidence. RATING, 1 to 10 Original Recipe New Recipe Sample Mean 7.8 8.1 Sample Standard Deviation 1.2 1.6 Use this information to answer the following questions. (a) Find the difference between these sample means. (b) Find the variance of the original recipe sample. (c) Find the variance of the new recipe sample. (d) Which test should be run to determine if there is evidence of a difference in consumer preferences between the two recipes?…
An employer measured the number of units sold by his 400 sales employees. He noted that 40 woman employees had a mean sales of 122 and a variance of 60 while 35 men employees had a mean performance of 126 and a variance of 74. Assuming that the employees were randomly selected and the distribution is normal, is there a reason to believe that there is significant difference between the sales mean performances of the men and women sales employees? Use 0.01 level to test its significance. (Use the two sample mean z-test.)
The data in table is from a randomized block design represent blood pressure measurements from an experiment involving 4 age groups, each with 3 persons. The 3 persons within each age group were randomly assigned to drugs, A, B and C with one person per drug. This was done to keep the drug assignments balanced within age groups. Comparing the three drugs in manner that provides balance for or control for possible age effects. Consider the data given in table below and compute; a. Mean Square Due to Treatments (MSTR) b. Mean Square Due to Blocks (MSBL) Mean Square Due to Error (MSE) C. d. F-test Treatments Age Groups (Blocks) A B 1 70 72 2 76 84 3 82 86 4 90 92 Total 318 334 C Total Blocks 80 222 82 242 84 252 88 270 334 986
Professor Hayashi wants to see if a new Canvas Homework system has an effect on how well students perform on Exam 2. The Exam 2 mean for all students who have ever taken his statistic course is 77.2. He collects data from a sample of 9 students who use the new Canvas Homework system. He finds the Exam 2 mean for this sample is 81.7 with a variance of 32.49. What is the effect size using Cohen's D.
A sample of n = 16 individuals participates in a repeated-measures study that produces a sample mean difference of 9 with SSD = 960. Calculate the variance for the sample of difference scores. Calculate the estimated standard error for the sample mean difference.
In order to ensure that there is not a large disparity in the quality of education at various schools in a school district, the school board wants to make sure that the variance of the mean standardized-test scores for all students at each school in the district is less than 2. To test this claim, they looked at the mean student scores for the standardized test from a random sample of 27 schools in the district. The results from the survey found that the overall mean was a score of 209.740 with a standard deviation of 1.210. With α=0.05, perform a hypothesis test to determine if the variance is less than 2. Assume that the district standardized-test scores are normally distributed. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a variance of 0.49. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis. Dain
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The accompanying data table contains chest deceleration measurements (in g, whereg is the force of gravity) from samples of small, midsize, and large cars. Shown are the technology results for analysis of variance of this data table. Assume that a researcher plans to use a 0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test. Complete parts (a) and (b) below. Click the icon to view the table of chest deceleration measurements A Click the icon to view the table of analysis of variance results. ..... a. What characteristic of the data specifically indicates that one-way analysis of variance should be used? O A. There are three samples of measurements. O B. The population means are approximately normal. O C. The measurements are categorized according to the one characteristic of size. O D. Nothing specifically indicates that one-way analysis of variance should be used. b. If the objective is to test…
Sony would like to test the hypothesis that the average age of a PlayStation user is different from the average age of an Xbox user. A random sample of 32 PlayStation users had an average age of 33.7 years while a random sample of 36 Xbox users had an average age of 35.6 years. Assume that the population standard deviation for the age of PlayStation and Xbox users is 3.7 and 3.5 years, respectively. Also assume population variances are equal. Sony would like to set alpha= 0.05. The 95% confidence interval for the difference in population means is
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a variance of 0.49. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for a random sample of fabric specimens. Assume the populations are approximately normally distributed with unequal variances. A manufacturer believes that the mean wrinkle recovery angle for Hylite is better. A random sample of 20 Permafresh (group 1) and 25 Hylite (group 2) were measured. Test the claim using a 5% level of significance. Permafresh Hylite 140 136 108 132 123 146 149 145 121 144 135 135 123 141 129 133 133 139 137 126 140 134 127 138 155 147 142 132 125 134 137 141 124 142 137 137 121 138 134 141 124 143 137 136 140 Họ: Select an answer V = Select an answer H: Select an answer V ? V Select an answer V Select the correct symbols. Test Statistic= (Give answer to 4 decimal places) p-value= (Give answer to 4 decimal places)…

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