Suppose there is sufficient evidence to reject Ho: µ1 = H2 = H3 using a one-way ANOVA. The mean square error from the ANOVA isdetermined to be 22.5. The sample means are x, = 4.8, x, = 10.8, and x3 = 19.3, with n, = n, = n3 = 6. Use Tukey's test to determinewhich pairwise means are significantly different using a familywise error rate of a = 0.05.Click here to view page 1 of the table of critical values for Tukey's Test for an alpha of 0.05.Click here to view page 2 of the table of critical values for Tukey's Test for an alpha of 0.05.Click here to view page 1 of the table of critical values for Tukey's Test for an alpha of 0.01.Click here to view page 2 of the table of critical values for Tukey's Test for an alpha of 0.01......Calculate the test statistic qo for each pairwise difference.912913923(Round to three decimal places as needed.)The critical value is(Round to three decimal places as needed.)Based on this data,the hypothesis Họ: H1 =H2;the hypothesis Ho: H1 = H3, andthehypothesis Ho: H2 = H3•II

q12=(10.8-4.8)/sqrt(22.5/6)=6/1.9365 =3.098 q13=(19.3-4.8)/sqrt(22.5/6)=14.5/1.9365 =7.488…

Calculate the test statistic qo for each pairwise difference. 912 %3D 913 = 923 %3D (Round to three decimal places as needed.) The critical value is. (Round to three decimal places as needed.) Based on this data, V the hypothesis Ho: H1 = H2, the hypothesis Họ: H1 = H3, and the hypothesis Ho: H2 = H3•

Calculate the test statistic qo for each pairwise difference. 912 %3D 913 = 923 %3D (Round to three decimal places as needed.) The critical value is. (Round to three decimal places as needed.) Based on this data, V the hypothesis Ho: H1 = H2, the hypothesis Họ: H1 = H3, and the hypothesis Ho: H2 = H3•

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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What is stated by the alternative hypothesis (H1) for an ANOVA? a. There are no differences between any of the population means. b. At least one of the population means is different from another mean. c. All of the population means are different from each other. d. The beta estimate is significant.
Suppose the mean fasting cholesterol of teenage boys in the United States is μ = 175 mg/dL with σ = 50 mg/dL. An SRS of 39 boys whose fathers had a heart attack reveals a mean cholesterol x¯x¯= 195 mg/dL. Use a two-sided test to determine if the population mean of boys whose fathers had a heart attack is significantly higher than expected. a) What are the null and alternative hypothese? b) What is SE? What is a z statistic?
The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal. At alpha equals0.01 , can you conclude that the mean costs per ounce are different? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. Very good stain removal Good stain removal Fair stain removal 0.35 0.42 0.44 0.51 2.74 1.28 0.64 0.46 0.34 1.62 0.33 nothing 0.47 0.75 nothing 0.36 1.32 nothing (a) Identify the claim and state Upper H 0 and Upper H Subscript a . Choose the correct answer below. A. Upper H 0 : At least one mean is different from the others. (claim) Upper H Subscript a : mu 1 equals mu 2 equals…
The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal. At alpha equals0.05 , can you conclude that the mean costs per ounce are different? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. Very good stain removal Good stain removal Fair stain removal 0.64 0.33 0.44 0.35 2.73 1.33 0.51 0.42 0.34 1.53 0.75 nothing 0.48 0.58 nothing 0.47 1.38 nothing (a) Identify the claim and state Upper H 0 and Upper H Subscript a . Choose the correct answer below. A. Upper H 0 : mu 1 equals mu 2 equals mu 3 (claim) Upper H Subscript a : At least one mean is different from…
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