In a completely randomized design, the sum of squares for treatments and the totalsum squares are obtained as 300 and 460 respectively.In this study, seven experimental units were used for each of the five population.Using the information above, (i) construct the ANOVA tableand (ii) test the null hypothesis at 0.5 level of significance.Do NOT use EXCELO a) (i) ANOVA Table is provided in the file posted using Assessment-Assignment(ii) Do not reject null hypothesisb) (i) ANOVA Table is provided in the file posted using Assessment-Assignment(ii) There is not enough information to solve this questionc) (i) ANOVA Table is provided in the file posted using Assessment-Assignment(ii) Reject the null hypothesis.

Given that, Sum of squares due to treatments is 300. SStreat= 300 Sum of squares due to total is…

Answered: In a completely randomized design, the…

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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In a completely randomized design, the sum of squares for treatments and the total sum squares are obtained as 300 and 460 respectively. In this study, seven experimental units were used for each of the five population. Using the information above, (i) construct the ANOVA table and (ii) test the null hypothesis at 0.5 level of significance. PLEASE SHOW ALL HAND WRITTEN STEPS AND DO NOT USE EXCEL OR ANY SOFTWARE
A company with a large fleet of cars hopes to keep gasoline cost down and sets a goal of attaining a fleet average of greater than 26 miles per gallon. To see if their goal is being met, they check the gasoline usage of 50 company trips, finding a mean of 27.01 miles per gallon. Define the relevant parameter, state the null and alternative hypothesis, and test at the 5% significance level to see whether this sample provides evidence that the company is meeting its goal. The standard error from the randomization distribution under the null hypothesis is SE = 0.68.
A researcher studied iron-deficiency anemia in women in each of two developing countries. Differences in the dietary habits between the two countries led the researcher to believe that anemia is less prevalent among women in the first country than among women in the second country. A random sample of 2400 women from the first country yielded 698 women with anemia, and an independently chosen, random sample of 1700 women from the second country yielded 544 women with anemia.Based on the study can we conclude, at the 0.10 level of significance, that the proportion p1 of women with anemia in the first country is less than the proportion p2 of women with anemia in the second country?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) A. Find the value of the test statistic and round to 3 or more decimal places. (I have…
An agricultural experiment station wishes to determine the yields of five newly introducedvarieties of corn using a completely randomized design (CRD). Each type of corn is planted tofour plots of land with equal fertility and grown under uniform cultural management practices,and the yields, in units of 100 bushels, are shown below. In view of these results, can weconclude that the mean yields of the five varieties of corn are the same using the 5% level ofsignificance? Variety Plots 1 2 3 4A 19 18 18 20B 25 23 26 24C 10 14 14 19D 21 20 19 24E 14 14 16 17 1. Justify the use of the completely randomized design. What are the requisites of theCRD? Are they satisfied in the experiment? 2.…
In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance. At a .05 level of significance, is there a significant difference between the treatments?
A manufacturer of a certain type of hardware has two manufacturing facilities and wants to compare them on the proportion of defective items produced. In a simple random sample of 200 items from facility A, 31 were defective. In a simple random sample of 215 items from Facility B,25 were defective. Test the claim that Facility B produces more defective item using a 5% significance level.
A random sample of 10 from population 1 had a variance of 3.600, while a sample of 15 from population 2 had a variance of 2.400. Test the hypothesis, at the 5% level of significance, that the two population variances are the same. State your conclusion as a sentence including the test statistic and the critical value.
Many members of a certain workforce died from cancer supposedly resulting from exposure to radioactive fallout. Suppose that among the 215 members of the workforce, 88 developed cancer. For that time period and for the age of the cohort, the incidence of cancer was about 40%. Use the randomization procedure and a 0.05 significance level to test the claim that the sample of this workforce is from a population in which the rate of cancer is greater than 40%. The accompanying set of 500 sample proportions (rounded to four decimal places) was obtained by resampling using technology as part of the randomization procedure; use these resampled proportions.
Six researchers at different universities agree to carry out exactly the same social psychology experiment involving three treatment conditions. When the studies are complete, they pool their data to study outcome variable Y, and they carry out a two-way ANOVA. Assuming that 10 subjects were randomly assigned to each of the treatments at each of the sites, what are the degrees of freedom associated with each of the variance components outlined in the ANOVA Table shown below? Two versions of the analysis are planned. In the first analysis, the researchers restrict their interest to the six specific sites included in the joint research. In the second analysis they consider the six universities to be a sample from the population of American universities. For each analysis, look up the critical F values for a =.05, and enter them into the table below. (The critical value is the number the F statistic must exceed to be considered statistically significant at the .05 level.) Also…
An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city that are hybrids. Is it sufficient for him to use a simple random sample of 173 cars if hybrids currently account for 8%of the car sales in the country and he claims that the percentage of hybrids in the city is higher than that?
for a one factor anova comparing four treamtnets, what is the null hypothesis
In a study of 420,110 cell phone users, 125 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.001 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. 1. What is the test statistic? z= ______ (Round to two decimal places as needed.) 2. What is the P-value? P-value= _____ (Round to four decimal places as needed.) 3. What is the conclusion on the null hypothesis? A. Reject…

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