MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Question 12 An analysis of variance experiment produced portions of a company ANOVA table Source of variations S.S Between groups Within groups d.f MS 25.08 Fral 3 a C. Total 117.72 79 N.B F(3,76)5% 2.724 and F3 79, 5% = 2.70 1. Specify the competing hypothesis in order to determine the population means. 2. Find the missing statistics a, b and c in the ANOVA table. 3. At the 5% significant level, what is the conclusion to the test? • Paragraph B IU A A I E E I I * x, E E E- & V G D I T 12piarrow_forwardOne of the following is an example of a question that might be asked to ascertain a problem with a nonrepresentative sample. Which one? O Do the signs of the residuals alternate? O Does the population have an omitted variable? O Do the residuals show nonconstant variance? O Does the sample contain about the same geographic coverage as the population?arrow_forwardIf other factors are held constant, which of the following sets of data would produce the largest value for an independent-measures t statistic? Question 3 options: The two samples both have n = 15, with sample variances of 20 and 25. The two samples both have n = 15, with variances of 120 and 125. The two samples both have n = 30, with sample variances of 20 and 25. The two samples both have n = 30, with variances of 120 and 125.arrow_forward
- 1. What is the pooled variance for the following two samples? Sample 1: n - 8 and SS = 168 Sample 2: n = 6 and SS = 120 2. An independent-measures study comparing two treatment conditions produces a t statistic with df = 18. If the two samples are the same size, how many participants were in each of the samples? 3. Caroline and Mira are both really smart and do equally well in their psychology classes, but something happens to Caroline when she goes to their philosophy class. She just can't keep up, whereas Mira does even better. One of the independent variables is the student. True or Falsearrow_forwardJust need B. These are old practice problemsarrow_forwardYou wish to test the following claim (��) at a significance level of �=0.002. ��:�1=�2 ��:�1≠�2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data. Sample #1 Sample #2 50.2 77.2 87.1 65 64.2 58.4 78 60.5 72.6 53.1 51.2 75.6 64.2 93.6 68.6 63.8 71.9 74.9 74.5 54.6 59.2 61.8 90.1 73.6 55.4 62.6 68.6 71.6 67.9 87.3 51.9 85.2 81.3 76.3 54 59.6 59.6 88.6 50.8 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value =arrow_forward
- In an analysis of variance where the total sample size for the experiment is nT and the number of populations is k, the mean square due to error is a. SSE/(nT-k) b. SSTR/(nT-k) c. SSE/(k-1) d. SSTR/karrow_forwardQuestion 16: Please use the approporate stats table attached. Do not use a software for this problem.a. What was the observed difference between the mean PCV levels for the two groups? b.Assuming that the two groups have similar variances, estimate the standard error of the difference between the sample means c. Conduct an appropriate test to assess the difference between the two means. What do you conclude?arrow_forwardWhich of the following factors have each of the advantages listed when using analysis of variance? Multiple answers can be chosen. 1. Makes ANOVA more robust to departures from the assumption of normality. 2. Makes ANOVA more robust to departures from the assumption of equal variance. 3. Increases the power of the test. Options: Large sample size. Balanced design.arrow_forward
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