In a completely randomized design, seven experimental units were used for each of the threelevels of the factor. Complete the following ANOVA table:Source ofVariationTreatmentsMean Squarep-valueSum ofDegree ofFreedomFSquares360ErrorTotal440a) What hypotheses are implied in the problem?b) At the a .05 level of significance, can we reject the null hypothesis in part? Explain

Part (a):The hypotheses are:Null hypothesis: H0: μ1 = μ2 = μ3., that is, the treatment means, or the…

Answered: In a completely randomized design,…

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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This question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent.
A random sample of 400 residents are asked if they are in favor of the proposed 10% vanity tax that will raise badly needed revenue for infrastructure development. If 300 are in favor, test the hypothesis that more than 60% of the voters are in favor of the proposed tax. Using a 0.01 level of significance, what is the appropriate test statistic? Ot=6.12 Ot=-6.12 Oz=6.12 OZ=-6.12
A researcher wants to know if there is a statistically significant difference between Liberal Arts majors and other students on average number of books (other than those required by course work) read per year. To test this research question, sample students attending a large university have been randomly selected. Using the sample information suggested below, conduct a hypothesis test at 0.05 significance level. Sample 1 (Liberal Arts majors) Sample 2 (Other majors) = 16.2 = 13.7 s1 = 2.3 s2 = 9.0 N1 = 236 N2 = 321 - What is the critical Z-score? - Compute the test statistic value (i.e., calculated or obtained Z-score). -Determine if the null hypothesis is rejected AND state what it means.
B. Identify the test statistic. ______ C. Identify the P-value. ____ D. What is the conclusion for this test? The P-value is (greater than/less than) the significance level α, so (reject/ fail to reject) the null hypothesis. There is (sufficient/ insufficient) evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
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In a random sample of males, it was found that 27 write with their left hands and 210 do not. In a random sample of females, it was found that 55 write with their left hands and 454 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. Question content area bottom Part 1 a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? A. H0: p1=p2 H1: p1>p2 B. H0: p1≥p2 H1: p1≠p2 C. H0: p1≠p2 H1: p1=p2 D. H0: p1=p2 H1: p1≠p2 E. H0: p1=p2 H1: p1<p2 F. H0: p1≤p2 H1: p1≠p2 Part 2 Identify the test statistic. z=enter your response here (Round to two decimal places as needed.) Part 3 Identify the P-value.…
To determine diet quality, male weanling rats were fed diets with various protein levels. Each of 15 rats was randomly assigned to one of three diets, and their weight gain in grams was recorded in the following table: Diet protein level Medium Low High 9.72 8.54 9.19 9.67 9.32 11.11 8.15 8.76 14.45 6.75 9.30 10.39 9.55 10.45 12.16 Sample Mean Sample Variance 1.696 8.768 9.274 11.460 0.547 3.963 Suppose we fit the data with the following model: Xij = µ+a; + Eij, i = 1, 2, 3; j= 1,., 5, N(0, o²) independently. Define X;. i = 1,2, 3, X. = 1=1 Xij, and SS(E) = E-1E=1(Xij – X;.)². E- Xij for where a1 + a2 + az = 0 and Eij Some R output that may help. > p1 qf (p1, 2, 12) [1] 0.010 0.025 0.052 0.106 2.807 3.885 5.096 6.927 > qf (p1, 2, 14) [1] 0.010 0.025 0.051 O.106 2.726 3.739 4.857 6.515 > qf (p1, 3, 12) [1] 0.037 0.070 0.114 O.192 2.606 3.490 4.474 5.953 > qf (p1, 3, 14) [1] 0.037 0.070 0.115 0.192 2.522 3.344 4.242 5.564
In a completely randomized design, seven experimental units were used for each of the three levels of the factor. Complete the following ANOVA table: Source of Variation Sum of Squares Degree of Freedom Mean Square F p-value Treatments 320 Error Total 420 20 a) What hypotheses are implied in the problem? b) At the α = .05 level of significance, can we reject the null hypothesis in part? Explain.

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