Question4: Four catalysts that may affect the concentration ofone component in a three-component liquid mixture are being123investigated. The following concentrations are obtained froma completely randomized experiment:415458.257.258.455.854.9Analysis of VarianceSource DF Adj SS Adj MScatalyst 3 85.68 28.559Error 12 34.56 2.880Total 15 120.24256.354.557.055.3Catalyst350.154.255.4Dr Asieh Abtahi Faculty of Mathematics and Statistics-Islamic Azad University of Shiraz-Iran)Tukey Pairwise ComparisonsGrouping Information Using the Tukey Method and 95% Confidencecatalyst N Mean Grouping56.900 A55.775 A3 53.23 A B4 51.125BF-Value P-Value9.92 0.0014Dr Asieh Abtahi-Faculty of Mathematics and Statistics-Islamic Azad University of Shiraz-Iran52.949.950.051.7(a)Determine the response variable, factors (kind of factor), level, number of treatments,number of replications, number of experiments.(b) Determine the type of design experiment.(c) Write the model of design experiment.(e) Do the four catalysts have the same effect on the con-centration?(f)Construct a 99 percent confidence interval estimate ofthe mean response for catalyst 1.(g) Which catalyst have different effect?

A one-way ANOVA can be a fashion of statistical of statistical test that compares the variance means…

Answered: Four catalysts that may affect 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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The following data summarize the results from an independent-measures study comparing three treatment conditions. Treatment II II 3 5 N = 12 10 G = 60 3 10 Σχ392 1 5 6 M = 3 M = 4 M = 8 T = 12 T= 16 T= 32 SS = 8 SS = 12 SS = 16 a) Use an ANOVA with a = .05 to determine whether there are any significant differences among the three treatment means. b) Calculate n² to measure the effect size for this study. c) Write a sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size.
Two-Fa 23. The following data are from an experiment comparing three different treatment conditions: A 1 N = 15 2 5 ΣΧΧ-354 1 6. 9. 8 8 T = 10 T = 20 T = 30 SS = 14 SS = 30 SS = 30 %3D a. If the experiment uses an independent-measures design, can the researcher conclude that the treatments are significantly different? Test at the .05 level of significance. b. If the experiment is done with a repeated-measures design, should the researcher conclude that the treatments are significantly different? Set alpha at .05 again. c. Explain why the analyses in parts a and b lead to different conclusions. 24. The following data are from a repeated-measures study comparing two treatment conditions.
1.Miller (2008) examined the energy drink consumption of college undergraduates and found that males use energy drinks significantly more often than females. To further investigate this phenomenon, suppose a researcher selects a random sample of n = 36 male undergraduates and a sample of n = 25 females. On average, the males reported consuming M = 2.45 drinks per month and females had an average of M = 1.28. Assume that the overall level of consumption for college undergraduates averages μ = 1.85 energy drinks per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ = 1.2. A) The researcher wants to know if the sample of males consume significantly more energy drinks than the overall population average. What are the independent and dependent variables? Using symbols, state the hypotheses for the type of test you indicated in part b. (H0and H1) Sketch the appropriate distribution and locate the critical region for α…
13. According to Wikipedia, as of November 30, 2019, 43.5% of registered voters in Mercer County are registered democrats (pm = 0.435), and 24.5% of registered voters in Hunterdon County are registered democrats (ph = 0.245). A researcher decides to take an SRS of 45 registered voters in Mercer County and an independent SRS of 45 registered voters in Hunterdon County to investigate, and is surprised when he gets a greater sample proportion of registered democrats in the Hunterdon County sample. Calculate and interpret the probability that the sample proportion of registered democrats in Hunterdon County is greater than the sample proportion of registered democrats in Mercer County. Be sure to show all of your work. (Note- - for those of you wondering why the percentages of registered democrats in the "blue" state of New Jersey are so low, many registered voters in New Jersey do not register with any particular political party)
3. On the average 35 % of the people afflicted with a certain disease die from it. Under a new treatment only 22% out of 200 patients die from it. Using a 0.05 level of significance, ca we say that the new treatment is effective?
2. Four different brands of margarine were analyzed to determine the level of some unsaturated fatty acids (as a percentage of fats; see table below). Test to compare the four groups simultaneously. Use αα = 0.05. Brand Fatty Acids (%) A 13.5 13.4 14.1 14.2 B 13.2 12.7 12.6 13.9 C 16.8 17.2 16.4 17.3 18.0 D 18.1 17.2 18.7 18.4 State clearly your null and alternative hypothesis. Write your conclusion afterward.
The gas mileages, in miles per gallon (mpg), of 10 randomly selected cars, both with and without a new gasoline additive, are shown in the following table. With additive Without additive 25.7 24.9 20.0 18.8 28.4 27.7 13.7 13.0 18.8 17.8 12.5 11.3 28.4 27.8 8.1 8.2 23.1 23.1 10.4 9.9 a. Apply the paired t-test to decide, at the 5% significance level, whether the gasoline additive is effective in increasing gas mileage. b. Apply the pooled t-test to the sample data to perform the hypothesis test. c. Compare your result in parts (a) and (b). c. Is performing the hypothesis test the way you did in part (b) appropriate or inappropriate? Why?
6.23 A random sample of eight pairs of twins was randomly assigned to treatment A or treatment B. The data are given in the following table. Twins 1 2 3 4 5 6 7 8 Treatment A 48.3 44.6 49.7 40.5 54.3 55.6 45.8 35.4 Treatment B 43.5 43.8 53.7 43.9 54.4 54.7 45.2 34.4 a. Is there significant evidence that the two treatments differ using an a 5 .05 paired t test. b. Is there significant evidence that the two treatments differ using an a 5 .05 sign test. c. Do your conclusions in parts (a) and (b) agree? d. How do your inferences about the two treatments based on the paired t test and based on the sign test differ?
Two samples of n = 5 participants each generate the following data. Calculate a t-test score for the difference of these two groups. Group 1 Group 2 2 3 3 3 2 2 2 2 1 2 t(8) = 2.86 t(8) = 2.29 t(8) = 2.5 t(8) = 1.11 Based on the results from the previous question (#7), what is the tcrit and are Group 1 and Group 2 significantly different from each other? Use α = .05, two-tailed test. tcrit = 1.860 Yes, the two groups are significantly different from each other. tcrit = 2.306 Yes, the two groups are significantly different from each other. tcrit = 2.228 Yes, the two groups are significantly different from each other. tcrit = 3.355 No, the two groups are not significantly different from each other.
Two samples of n = 5 participants each generate the following data. Calculate a t-test score for the difference of these two groups. Group 1 Group 2 2 3 3 3 2 2 2 2 1 2 t(8) = 2.86 t(8) = 2.29 t(8) = 2.5 t(8) = 1.11

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