1.The effect of catalyst hardener concentration on the drying time of oil-based enamel paint wasstudied. A total of n = 3 trials were performed for each of four different concentrations, assummarized in the table below.Catalyst %Drying Time(hours)0.1%0.3%0.5%6.46.15.56.06.95.96.75.16.0By hand, compute the sums of squares, mean squares, F statistic, and P value for a one-wayANOVA. Based on the P-value obtained, does the factor (catalyst %) have a statisticallysignificant effect on drying time at a 5% significance level?0.7%5.65.65.2

Anova is the measure used to test whether the three or more groups are different or not. It is the…

Answered: 1. The effect of catalyst hardener…

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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Recall that small effects may be statistically significant if the samples are large. A study of small-business failures looked at 153 food-and-drink businesses. Of these, 107 were headed by men and 46 were headed by women. During a three-year period, 17 of the men's businesses and 7 of the women's businesses failed. (a) Find the proportions of failures for businesses headed by men (sample 1) and businesses headed by women (sample 2). These sample proportions are quite close to each other. p̂men = p̂women = Give the P-value for the z test of the hypothesis that the same proportion of women's and men's businesses fail. (Use the two-sided alternative.) The test is very far from being significant. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = (b) Now suppose that the same sample proportions came from a sample of 30 times as large. That is, 210 out of 1380 business headed by women and 510 out of 3210 businesses…
We are testing whether a particular program of low impact exercise can improve the cholesterol level of stroke patients. We enroll a group of stroke patients in our study, and after six weeks we measure their serum cholesterol level in mmol/L, resulting in the following data: 6.1 9.3 6.3 4 9 5.5 6.3 4.2 4.7 7.8 4.3 7.5 9.1 4.2 6.9 8.1 5.6 9.4 8.3 8.8 7.2 5.7 6.5 3.8 3.8 9 9.4 4.5 8 7 4.5 9.4 6.6 4.1 6.6 9.1 3.9 5.3 (a) Construct a 95% confidence interval. _______< u < ______ From an existing study, we know that the average cholesterol level of all stroke patients is 7 mmol/L. We want to know if the level in our patients is significantly different from this. (b) What is our Test statistic? ______ (c) What is the two-tailed p-value of this result? ______
An experiment was conducted to investigate the effects of the concentrations of sulfuric acid (H₂SO4) and calcium chloride (CaCl₂) on the amount of black mud precipitate in the treatment of alkaline wastewater. There were three levels of each concentration, and two replicates of the experiment were made at each combination of levels. The relevant statistical analysis is provided in the following table. Source DF SS MS F P 2 457.65 228.83 8.845 0.008 H₂SO4 CaCl₂ 2 38783 19391 749.53 0.000 Interaction 4 279.78 69.946 2.704 0.099 Error 9 232.85 25.872 Total 17 39753 a) The appropriate statistical analysis to test would be: a. One-way ANOVA b. Two-way ANOVA C. Three-way ANOVA d. Two-Sample t-test b) Does there appear to be an interaction between concentration of sulfuric acid and calcium chloride at the .05 level? What does this say about the additive model? c) Can the effect of concentration of sulfuric acid on amount of black mud precipitate in the treatment of alkaline wastewater be…
A manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 10 % green, 30 % yellow, 30 % red, and 30 % orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a = 0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Children's Vitamins Green Yellow Red Orange Number 590 1765 1717 1615 Copy Data Step 2 of 4: Calculate the expected value for the number of vitamins that are orange. Round your answer to three decimal places, if necessary.
The data below are from an independent-measures experiment comparing three different treatment conditions. Use an ANOVA with a = .05 to determine whether these data indicate any significant differences among the treatments Treatment 1 Treatment 2 Treatment 3 0 1 4 N = 12 0 4 3 G = 24 0 1 6 åX2 = 92 2 0 3 M = 0.5 T = 2 M = 1.5 T = 6 M = 4 T = 16 SS = 3 SS = 9 SS = 6
A study is designed to investigate whether there is a difference in response to various treatments in patients with Rheumatoid arthritis. The outcome is the patient’s self-reported effect of treatment. The data are shown below. Is there a significant difference in effect of treatment? Run the test at a 5% level of significance. Symptoms Worsened No Effect Symptoms Improved Total Treatment 1 22 14 14 50 Treatment 2 14 15 21 50 Treatment 3 9 12 29 50 Using the data above, suppose we focus on the proportions of patients who show improvement. Is there a statistically significant difference in the proportions of patients who show improvement between treatments 1 and 2? Run the test at a 5% level of significance.
In a certain study, the effect on oat yield was compared for the Pallinup, Overberg and Magnifico varieties of oats and four different concentrations of manure (0, 0.2, 0.4 and 0.6 tonnes per acre). Identify the experimental units, response variable, factor(s), levels of each factor and treatments.
(1) The following table summarizes the BMI collected for three different groups of a population. BMI N Mean SD Group A 100 21.6 2.1 Group B 100 24.8 1.8 Group C 100 27.9 1.3 Test the hypothesis whether there is a significant difference in the mean BMI scores among three groups. Use a = 0.05.
Statistical Methods in Atmospheric Science
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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