You may need to use the appropriate technology to answer this question. A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Factor B Level 1 Level 2 Level 3 131 94 75 Level 1 161 70 93 Factor A 129 123 120 Level 2 99 101 136 Test for any significant main effects and any interaction. Use a-0.05.
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- Which of the following situations is appropriate for a two-factor (also called two-way) ANOVA test? Group of answer choices To determine if keyboard type and gender influence average writing performance. To determine if keyboard type influences average writing performance. To determine if gender influences average writing performance. None of the AboveQ1. Please answer fill-ins.The following table summarizes the results from a two-factor study with two levels of factor A and four levels of factor B using a separate sample of n=5 participants in each treatment condition. Fill in the missing values. Determine if any of the F-statistics are significant at . Source SS df MS Between Treatments ____ ____ Factor A 20 ____ ____ F=____ Factor B __ ____ 12 F=____ AxB Interaction ____ ____ 6 F=____ Within Treatments 64 ____ ____ Total ____ ____
- A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Factor B Level 1 Level 2 Level 3 Factor A Level 1 136 89 75 166 65 93 Factor A Level 2 124 128 120 94 106 136 Test for any significant main effects and any interaction. Use ? = 0.05. Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Test statistic=?? Find the p-value for factor A. (Round your answer to three decimal places.) p-value = ?? State your conclusion about factor A. -Because the p-value > ? = 0.05, factor A is significant. -Because the p-value > ? = 0.05, factor A is not significant. - Because the p-value ≤ ? = 0.05, factor A is not significant. -Because the p-value ≤ ? = 0.05, factor A is significant. Find the value of the test statistic for factor B. (Round your answer to two decimal places.) Test statistic=?? Find the p-value for factor B. (Round your…A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries. Country I Country II Country III Country IV 12.3 8.3 20.4 17.3 9.1 17.2 16.5 8.7 10.9 19.2 22.8 14.2 8.8 10.2 5.5 21.4 16.1 19.2 19.3 (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answer to three decimal places for MSBET and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Round your answer to three decimal…A psychologist would like to examine the effects of a new drug on the activity level of animals. Three samples of rats are selected with n=5 in each sample. One group gets no drug, one group gets s small dose, and the third group gets a large dose. The psychologist records the activity level for each animal. The data from this experiment are presented below. No drug Small dose Large dose 5, 3 , 1 , 1 , 5 5, 5, 9, 6, 5 10, 12, 9, 6, 8 =3, SS=16 =6, SS=12 =9, SS=20 Do these data indicate any significant differences among the three groups? Test with α=0.05. Compute the effect size and interpret the result.
- A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Factor B Level 1 Level 2 Level 3 139 86 75 Level 1 169 62 93 Factor A 121 131 120 Level 2 91 109 136 Test for any significant main effects and any interaction. Use a = 0.05. Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Find the p-value for factor A. (Round your answer to three decimal places.) p-value State your conclusion about factor A. Because the p-value > a = 0.05, factor A is not significant. Because the p-value > a = 0.05, factor A is significant. Because the p-value a = 0.05, factor B is not significant. Because the p-value a = 0.05, factor B is significant. O O O O O O O OIncluding the population size n for each category of individuals in the study will allow researchers to compare the sample sizes and determine if there is a significant difference in the power between two groups that may be influencing the effect size of any of the observed results from a study. Group of answer choices True FalseA factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours. Language Spanish French German System 1 6. 12 12 10 16 16 System 2 6 15 16 10 17 22 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use a = .05. Complete the following ANOVA table (to 2 decimals, if necessary). Round your p-value to 4 decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Factor A Factor B Interaction Error Total
- Which of the following is a component of a 2 x 3 Factorial ANOVA? Factor A main effect Factor B main effect Interaction effect All of the aboveIn a UK business school, lecturers have tried to determine if the number of hours students attend lectures has any measurable effect on the grades obtained by the students. The following data from a sample of 14 students in an international business class show hours of attendance and resulting grades.(22, 72), (20, 64), (24, 70), (8, 34), (12, 40), (16, 40),(18, 52), (16, 45), (20, 68), (24, 65), (28, 72),(20, 64), (10, 38), (16, 44)a. Estimate the regression line.b. Find a 95% confidence interval for the slope of the regression line.A team of epidemiologists at the Mayo Clinic wanted to find whether there is an association between obesity and cardiovascular disease (CVD). They conducted a prospective cohort study following obese and non-obese individuals who were free of CVD at the beginning of study for five years. The investigators were also interested in assessing age as a potential confounder, effect modifier, or both. Use the data below to answer the accompanying questions. CVD No CVD Total Obese 10 90 100 Not Obese 35 465 500 Total 45 555 600 CVD No CVD Total Obese 36 164 200 Not Obese 25 175 200 Total 61 339 400 1. Compute the appropriate measure of association for those who were less than age 50. 2. Compute the appropriate measure of association for those who were older or equal to age 50. 3. Compute the crude measure of association? 4. List three attributes that age must satisfy before it could…