Complete the following ANOVA table for a one factor Analysis of Variance Model. ANOVA table Source SS 120 df F MS Between Within 3 Total 490 40 16. What is the Null hypothesis that corresponds to this test? 17. What is the Mean Squared Within? 18. If the decision rule is to reject the null hypothesis if F>4.36, your decision would be:

Complete the following ANOVA table for a one factor Analysis of Variance Model. ANOVA table Source SS 120 df F MS Between Within 3 Total 490 40 16. What is the Null hypothesis that corresponds to this test? 17. What is the Mean Squared Within? 18. If the decision rule is to reject the null hypothesis if F>4.36, your decision would be:

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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Given below are the analysis of variance (ANOVA) results from a Minitab display. Assume that you want to use a 0.01 significance level in testing the null hypothesis that the samples come from populations with the same mean. Source DF SS MS F P-val Factor 2. 2280.0 1140.0 7.9 5.39E–04 Error 144 20691.7 143.7 Total 146 22971.8 What can you conclude about the equality of the population means? (circle one) Reject H0 since the p-value is greater than the significance level. Fail to reject H0 since the p-value is greater than the significance level. Reject H0 since the p-value is less than the significance level. Fail to reject H0 since the p-value is less than the significance level.
Ten randomly chosen participants in a Math Training Program took a pretest and a posttest. Test at 0.05 level of significance whether the variance of the posttest scores is significantly different from the variance of the pretest scores. Use the data the following data. [pretest: 5, 6,7,7,7,8,8,9,9,10] [posttest: 6,7,9,8,7,913,10,11,6]
What are the values for SS and variance for the following sample of n = 3 scores? Sample: 8, 5, 2
Use the Excel printout to answer the following questions. t-Test: Two-Sample Assuming Equal Variances E Variable 1 Variable 2 Mean 28.671 28.215 Variance 5.061 2.225 Observations 8 7 Pooled Variance 3.752 Hypothesized Mean Difference df 13 t Stat 0.455 P(T <= t) one-tail 0.328 t Critical one-tail 1.771 P(T <= t) two-tail 0.657 t Critical two-tail 2.160 In testing for a difference between the two population means, would you conclude that the assumption of a common variance is reasonable? O Yes, the ratio of the the larger variance to the smaller variance is less than three. O Yes, the ratio of the larger variance to the smaller variance is more than three. O No, the ratio of the larger variance to the smaller variance is less than three. O No, the ratio of the larger variance to the smaller variance is more than three. O It is not possible to check that assumption with the given information. What is the observed value of the test statistic? t = What are the degrees of freedom for the…
4 4G I. moodle.unizwa.edu.om a | Quiz3 Time left 0:00:21 Question 3 Answer saved Marked out of 2.00 P Flag question Which one of the following choices describes a problem for which an analysis of variance would be appropriate? O A. Comparing the proportion of successes for three different treatments of anxiety. Each treatment is tried on 100 patients O B. Analyzing the relationship between high school GPA and college GPA O . Analyzing the relationship between gender and opinion about capital punishment (favor or oppose). O D. Comparing the mean birth weights of newborn babies for three different hospitals. O E. None of these Clear my choice Previous page Next page 1 2w-ANOVA(3) Jump to... Quiz navigation 7 +
Which statement best represents the logic of a one way analysis of variance which also called ANOVA which is also called the F test? A. Under the null, The population means are equal to each other, so any difference in sample means will register as significant difference B. Under the null, at least one mean is different from the others, so if this condition is met with the data, it will register as a significant difference C. Under the null, The means are assumed to be equal; as a result the between group variance will equal the within group variance ; if the calculated SSbetween is sufficiently larger than SSbetween this would suggest the between group variation is larger than within group variation and indicate there is a significant difference amount the means D. Under the null, the means are assumed to be equal, as a result, the within group variance will be larger than the between group variance and this will be revealed by a significant F, which would indicate that the…
Do cars really get better mileage per gallon on the highway? The table shows results from a study of the MPG (miles per gallon) of cars both in the city and on the highway. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. At the 0.1 significance level, test the claim that the mpg on the highway is better than in the city. MPG on the Highway 35.6 34.3 32.2 33.9 31.1 27.1 33.3 33.4 29.3 33.5 31.4 33.2 33.5 30.8 33.8 MPG in the City 26.4 25.3 18.6 25.6 24.7 24.6 25.1 22.4 29.3 23.7 23.4 22 24 23.6 25.5 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer p x̄₁ p₁ σ₁² μ₁ μ₂ μ μ(Highway) x̄₂ p̂₁ s₁² p₂ ? ≤ ≠ < ≥ = > Select an answer p₁ p₂ p̂₁ μ(City) μ μ₁ μ₂ x̄₁ x̄₂ s₁² σ₁² p H1: Select an answer p₂ μ(Highway) p̂₂ σ₂² x̄₁ x̄₂ s₂² μ₁ μ₂ μ p₁ p ? < ≠ = ≥ ≤ > Select an answer p₂ p₁ μ₁ σ₁²…
The following ANOVA table, based on information obtained for three samples selected from three independent populations that are normally distributed with equal variances, has a few missing values. a. Find the missing values and complete the ANOVA table. Round your answers for the sum of squares and the mean square to four decimal places. Round your answer for F to two decimal places. Source of Variation Degrees of Freedom Sum of Squares Mean Square Value of the Test Statistic Between 2 19.2813 Within 89.3677 i F= i Total 12 b. Using a = 0.01, what is your conclusion for the test with the null hypothesis that the means of the three populations are allequal against the alternative hypothesis that the means of the three populations are not all equal? The means are the same the same eTextbook a not the same
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0 123 ess is functioning properly. significance. 5 workers from one company But a general perception is 1 of significance mnle 6.32 Jeffery, a high school swimmer, swims the 25-yard freestyle with a mean time of 16.43 seconds without using goggles. After his father bought him goggles, Jeffery swam the 25-yard freestyle 15 times. After the 15 swims, Jeffery's mean time was 16 seconds and sample standard deviation was 2 seconds. His father thought the goggles helped Jeffery swim faster. Test his father's hypothesis using a 5% level of significance. Assume that the sample of measurements are from a normally distributed population. 6.30 suburb.
Given below are the analysis of variance results from a stat software display comparing sample data for the meanmileage for 4 different types of cars. Assume that you want to use a 0.05 significance level in testing the null hypothesisthat the different samples come from cars with the same mileage. What can you conclude about the equality of the population means?Source DF SS MS F pFactor 3 13.500 4.500 5.17 0.011Error 16 13.925 0.870Total 19 27.425 12)What is the null and alternative hypothesis for this scenari?Based on this One Way Anova software analysis, would you reject of fail to reject the nul hypothesis?What does this result mean in context?
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