In a completely randomized design, seven experimental units were used for each of the five levels of the factor. Consider the following ANOVA table. Sum Degrees of Freedom Source Mean p-value of Variation of Squares Square Treatments 300 4 75 17.31 0.0000 Error 130 30 4.33 Total 430 34 (a) What hypotheses are implied in this problem? O Ho: Not all the population means are equal. Hai H1 = H2 = H3 = H4 = H5 O Ho: H1 = H2 = H3 = H4 = H5 H: Not all the population means are equal. O Ho: H1 + H2 * H3 # H4 # H5 Hai H1 = H2 = H3 = H4 = H5 O Ho: At least two of the population means are equal. H3: At least two of the population means are different. O Ho: H1 = H2 = H3 = H4 = Hs Ha: H1 # H2 # H3# H4# H5 (b) At the a = 0.05 level of significance, can we reject the null hypothesis in part (a)? Explain. Because the p-value s a = 0.05, we can reject Ho: O Because the p-value > a = 0.05, we can reject Ho. O Because the p-value s a = 0.05, we cannot reject Ho: O Because the p-value > a = 0.05, we cannot reject Ho:

In a completely randomized design, seven experimental units were used for each of the five levels of the factor. Consider the following ANOVA table. Sum Degrees of Freedom Source Mean p-value of Variation of Squares Square Treatments 300 4 75 17.31 0.0000 Error 130 30 4.33 Total 430 34 (a) What hypotheses are implied in this problem? O Ho: Not all the population means are equal. Hai H1 = H2 = H3 = H4 = H5 O Ho: H1 = H2 = H3 = H4 = H5 H: Not all the population means are equal. O Ho: H1 + H2 * H3 # H4 # H5 Hai H1 = H2 = H3 = H4 = H5 O Ho: At least two of the population means are equal. H3: At least two of the population means are different. O Ho: H1 = H2 = H3 = H4 = Hs Ha: H1 # H2 # H3# H4# H5 (b) At the a = 0.05 level of significance, can we reject the null hypothesis in part (a)? Explain. Because the p-value s a = 0.05, we can reject Ho: O Because the p-value > a = 0.05, we can reject Ho. O Because the p-value s a = 0.05, we cannot reject Ho: O Because the p-value > a = 0.05, we cannot reject Ho:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary). If answer is zero enter "0". Source Sum Degrees Mean of Variation of Squares of Freedom Square F p-value Treatments 900 Blocks 400 Error Total 1800 Use a = 0.05 to test for any significant differences. The p-value is less than 0.01 What is your conclusion? Conclude not all treatment means are equal
Textbook: Statistics for the Behavioral SciencesGregory J. Privitera Please show your work-Concept and Application Problems (Pg.133) If Sample 1 has a variance of 4 and Sample 2 has variance of 32, can we tell which sample had a larger range? If so, which sample had a greater range?
In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square 8 8 Treatments Error 1000 700 2 24 * Ⓡ 650 The p-value is less than 0.01 What is your conclusion? Cannot conclude that the means of the three treatments are equal v 29.17 Total 1800 44 At a 0.05 level of significance, is there a significant difference between the treatments? F 47.65 * p-value 0 ✔ 4
Opposing a random sample of size and equal 16A sample average of 185 it is observed the P value of the sample statistic is
In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,100 Error Total 1,500 At a=.05 level of significance, is there a significant difference between the treatments?
Given the following ANOVA table: Degrees Mean Source of of Variance Sum of Sum of F-stat Squares Freedom Squares | Regression 2 5.5 Residual 27 2.507 Total What is the value of SST? Please report your answer in 3 decimal places.
help with 3
Which best illustrates the distinction between statistical significance and practical importance? Multiple Choice "This year, 360 of 440 statistics students at Oxnard Technical College rented their textbooks, compared with 110 of 330 students last year. This is a significant increase." "Our new manufacturing technique has increased the life of the 80 GB USB AsimoDrive external hard disk significantly, from 240,000 hours to 250,000 hours." "In 50,000 births, the new vaccine reduced the incidence of infant mortality in Morrovia significantly from 14.2 deaths per 1000 births to 10.3 deaths per 1000 births." "The new Sky Penetrator IV business jet’s cruising range has increased significantly from 3,975 miles to 4,000 miles."
"What i v nighest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" In a recent year, 1125 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.) Sample Sample Sample size Groups mean variance Less than h.s. 257 43.1 110.1 High school 292 44.2 84.9 Bachelor's 294 42.7 105.8 Graduate 282 43.6 100.8 Send data to calculator Send data to Excel To decide if there are any differences in the mean hours per week worked by these different groups, we can perform a one-way, independent-samples ANOVA test. Such a test uses the following statistic. Variation between the samples F = Variation within the samples For the data from the survey, F - 1.22. (a) Give the p-value corresponding to this value of the F statistic. Round your answer to at least three decimal places. (b) From…
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
An article reports that blue eyed people earn less than brown eyed people. Average blue eyed salary, $35,000, average brown eyes $37,000, p-value 0.45. Based on that reported p-value and using the common definition of "statistical significance" which is the case?
17