An article described an experiment in which several different types of boxes were compared with respect to compression strength (in pounds). Thedata in the table below resulted from a single-factor experiment involving k = 4 types of boxes (the sample means and standard deviations are inclose agreement with values given in the paper). Do these data provide evidence to support the claim that the mean compression strength is notthe same for all four box types? Test the relevant hypothesis using a significance level of 0.01 if x = 685.0042.Type of Box1234665.5799.2Compression Strength (lb)798.3 724.3782.5 796.9727.1 649.0686.3545.1 638.7 532.4731.4 689.1 689.4696.1 742.1661.7 727.2764.8Calculate the test statistic. (Round your answer to two decimal places.)F =SampleMean716.3333Use technology to find the P-value. (Round your answer to four decimal places.)P-value =763.6000569.0 576.9 530.0 565.3500SampleSD47.0321717.1 694.7333 34.222339.378740.6751

The following information has been provided: 1 2 3 4 665.5 799.2 727.1 545.1 798.3 782.5 649…

Answered: An article described an experiment in…

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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The accompanying table lists pulse rates. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What is the conclusion? State the null and alternative hypotheses in the test for the effect of an interaction between row and column factors. Ho: There interaction between gender and age. H₁: There interaction between gender and age. What is the value of the test statistic for this test? O B. Ho: The row values are from populations with the same standard deviation. H₁: At least one of the rows is sampled from a population with a standard deviation different from the others. F= (Round to two decimal places as needed.) What is the corresponding P-value of the test statistic, F, for this test? P-value = (Round to three decimal places as needed.) State the conclusion of this test. Ho. There sufficient evidence to warrant rejection of the claim that pulse rates are not affected by an interaction between gender and age. There State the null and alternative…
The table below summarizes data from a survey of a sample of women. Using a 0.01 significance level, and assuming that the sample sizes of 900 men and 300 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? what is the test static? what is the critical value? what is th P-value? Gender of Interviewer Man Woman Women who agree 572 243 Women who disagree 328 57 Chi-square Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 - - 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597 3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345…
An experiment was run to determine whether four specific firing temperatures affect the density of a certain type of brick. The experiment was laid out using completely randomized design. Analysis showed that at least one firing temperature has a different mean density. Pairwise mean comparison of the firing temperatures was conducted. Based on the output below, which is the following is(are) TRUE at 5% level of significance? I. The mean density is significantly different at higher temperatures as compared with 100 OC.II. The mean density at 125 OC is significantly different with the mean density at 150 OC. A. I only B. II only C. Both I and II D. Neither I nor II
The accompanying table lists pulse rates. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What is the conclusion? Click on the icon to view the data table. State the null and alternative hypotheses in the test for the effect of an interaction between row and column factors. Ho: There interaction between gender and age. H₁: There interaction between gender and age. Pulse Rates for Gender and Age C Under 30 Years of Age Over 30 Years of Age Female 78 103 78 63 61 98 81 98 91 95 77 75 73 65 71 78 61 71 74 55 Female Male 60 81 56 69 68 74 75 68 63 56 46 70 61 65 91 80 59 58 64 59 Male Print Done D
A sample of colored candies was obtained to determine the weights of different colors. The ANOVA table is shown below. It is known that the population distributions are approximately normal and the variances do not differ greatly. Use a 0.05 significance level to test the claim that the mean weight of different colored candies is the same. If the candy maker wants the different color populations to have the same mean weight, do these results suggest that the company has a problem requiring corrective action? Source: DF: SS: MS: Test Stat, F: Critical F: P-Value: Treatment: 6 0.072 0.012 2.4011 2.2059 0.0341 Error: 86 0.430 0.005 Total: 92 0.502 Should the null hypothesis that all the colors have the same mean weight be rejected? A. No, because the P-value is greater than the significance level. B. Yes, because the P-value is greater than the significance…
In 1991, a person was working as an engineer at a paper company when they were laid off in round 2 of several rounds of layoffs by the company. This person sued the company for age discrimination. The engineer claimed that the laid off workers were older than others. The age of randomly selected 10 workers who were laid off and not lay off in round 2 are given below. Test the engineer's claim at 1% level of significance. Note that the data for two samples are in different column. Click this button to reveal the data No 25 33 35 38 48 55 56 Yes Uknown 55 55 64 Download CSV file Download the .csv file or copy/paste the data into Excel. After downloading .csv file, you may want to save it as a Excel Workbook. a. What is the response variable that is being compared in this study? Age b. How many samples of data are being compared in this study? 2 c. Are the samples random and independent? Yes No d. What test is used for this problem? Kruskal-Wallis Test
The accompanying table lists pulse rates. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What is the conclusion? Click on the icon to view the data table. C State the null and alternative hypotheses in the test for the effect of an interaction between row and column factors. Ho: There is no interaction between gender and age. H₁: There is an interaction between gender and age. What is the value of the test statistic for this test? F = 3.32 (Round to two decimal places as needed.) What is the corresponding P-value of the test statistic, F, for this P-value= (Round to three decimal places as needed.) Pulse Rates for Gender and Age Over 30 Years of Age Under 30 Years of Age Female 78 103 78 63 61 98 81 98 91 95 77 75 73 65 71 78 61 71 74 55 Female Male 60 81 56 69 68 74 75 68 63 56 46 70 61 65 91 80 59 58 64 59 Male D X
The data from car crash tests for four different vehicle size categories (Small, Midsize, Large, and SUV) with measured amounts of left leg femur force (kN) results in the following Minitab display. Using a 0.05 significance level, test the claim that the four vehicle size categories have the same mean force on the femur of the left leg. Does size of the car appear to have an effect on the force on the left femur in crash tests? Analysis of Variance Source Size Error Total Determine the null hypothesis. Ho: DF Adj SS 0.5088 18.4992 3 48 51 19.0080 H₁: Determine the alternative hypothesis. Adj MS 0.1696 0.3854 Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the P-value. F-Value 0.44 P-Value 0.725 The P-value is. (Round to three decimal places as needed.) Does size of the car appear to have an effect on the force on the left femur in crash tests? Ho. There sufficient evidence at a 0.05 significance level to warrant rejection of the…
Three new different models of compact SUVs have just arrived at the market. You are interested in comparing the gas mileage performance of all three models to see if they are the same. A partial computer output for twelve compact SUVs of each model is given below: You are told that the gas mileage population distributions for all three models are not normally distributed. What is your conclusion on the test using a 5% level of significance? There is not enough evidence of a difference in mean gas mileage. There is evidence of a difference in mean gas mileage. There is not enough evidence of a difference in median gas mileage. There is evidence of a difference in median gas mileage.
A study is conducted to compare three new appetite suppressants (A, B, and C) to a placebo in terms of their effect on weight reduction. A total of 80 participants are involved and are randomly assignned to the comparison groups in equal numbers. The outcome of interest is weight reduction, measured in pounds. The data shown in the table below are observed after 3 months on treatment. Is there a significant difference in mean weight reduction among the four treatments? Use a 5% level of significance. (Hint: SST=1889)
A study was conducted to determine if differences in new textbook prices exist between on-campus bookstores, off-campus bookstores, and Internet bookstores. To control for differences in textbook prices that might exist across disciplines, the study randomly selected 12 textbooks and recorded the price of each of the 12 books at each of the three retailers. You may assume normality and equal-variance assumptions have been met. The partially completed ANOVA table based on the study's findings is shown here: ANOVA Source of Variation Textbooks Retailer Error Total SS 16,624 2.4 df MS F 17,477.6 Based on the study's findings, was it correct to block for differences in textbooks? Conduct the appropriate test at the alpha = 0.10 level of significance.

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