The following table shows the two-way ANOVA output for SAT scores. Assuming no interaction between gender...
The following table shows the two-way ANOVA output for SAT scores. Assuming no interaction between gender and type of test (verbal/math), is there sufficient evidence to support the claim that gender has an effect on SAT scores? Source DF SS MS F P Gender 1 23852 23852.3 2.26 0.144 Verb divided by Math 1 93298 93298.2 8.84 0.006 Interaction 1 32296 32295.5 3.06 0.091 Error 28 295515 10554.1 Total 31 444961 Is there any evidence that gender has an effect? (Assume a 0.05 significance level.) A. Since the P-value for gender is large, there is no evidence to support the claim. B. Since the P-value for gender is small, there is no evidence to support the claim. C. Since the P-value for gender is large, there is evidence to support the claim. D. Since the P-value for gender is small, there is evidence to support the claim.
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The following table shows the two-way ANOVA output for SAT
scores. Assuming no interaction between gender...
(2 points) Use the Minitab display to test the claims. Use the a= 0.05 significance level....
(2 points) Use the Minitab display to test the claims. Use the a= 0.05 significance level. The sample data are SAT scores on the verbal and math portions of SAT-I Analysis of Variance for SAT Source DF SS MS F р Gender 1 52712 52712 5.07 0.031 Ver/Math 5983 5983 0.58 0.453 Interaction 31428 31128 3.02 0.091 Error 34 376420 10399 Total 37 466543 1 Test the claim that SAT scores are not affected by an interaction between gender and...
(2 points) Use the Minitab display to test the claims. Use the a = 0.05 significance...
(2 points) Use the Minitab display to test the claims. Use the a = 0.05 significance level. The sample data are SAT scores on the verbal and math portions of SAT- Analysis of Variance for SAT Source DF SS MS F P Gender 1 52700 52700 4.99 0.032 Ver/Math 5988 5988 0.57 0.456 Interaction 31348 31348 2.97 0.093 Error 35 376592 10556 Total 38 466628 Test the claim that SAT scores are not affected by an interaction between gender and...
Do SAT scores for high school students differ depending on the students' intended field of study?...
Do SAT scores for high school students differ depending on the students' intended field of study? A study compared 15 students who intended to major in engineering with 15 students who intended to major in language and literature. Given in the accompanying table are the means and standard deviations of the scores on the verbal and mathematics portion of the SAT for the two groups of students: Engineering Language/literature Verbal у-446, 8-42 Math У-548, s-57 У-517, s:: 52 у-: 534,8...
Return to the SAT data in Exercise 2. Perform a two-sample t-test to determine whether there is s...
Exercise 2:
Return to the SAT data in Exercise 2. Perform a two-sample t-test to determine whether there is sufficient evidence to claim a difference in the mean verbal SAT scores for high school students who intend to major in engineering and language/literature. Again, report the: p-value You should find the p-value using R. How does this result compare to the result in Exercise 2? Note that it is a mathematical/statistical fact that: If X ~ tor then Y =...
Exercise 13-45 Algo A researcher conducts a two-way ANOVA test with interaction and provides the following...
Exercise 13-45 Algo A researcher conducts a two-way ANOVA test with interaction and provides the following ANOVA table. a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "F" to 3 decimal places.) ANOVA Source of Variation SS df MS F p-value Sample 776.84 2 MSB = F Factor B = 0.010 Columns 12,425.44 1 MSA = F Factor A = 4.57E-09 Interaction 56.25 2...
CH13 Q5 The following observations were obtained when conducting a two-way ANOVA experiment with no interaction....
CH13 Q5
The following observations were obtained when conducting a two-way ANOVA experiment with no interaction. Factor A X for Factor B 2.500 8.000 13.750 Factor B 15 9.667 13 8.000 16 8.333 Xi for Factor A 6.000 X 8.083 a. Calculate SST, SSA, SSB, and SSE. (Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.) SST SSA SSB SSE b. Calculate MSA, MSB, and MSE. (Round intermediate calculations to at least 4...
9 A researcher conducts a two-way ANOVA t with interaction and provides the following ANOVA table a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4...
9 A researcher conducts a two-way ANOVA t with interaction and provides the following ANOVA table a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and " places.) to 3 decimal 12233 b. At the 5% significance level, can you conclude that there is an interaction effect? es since the p-nlue for interection is grester ha he signiscance No-since he puue for inneracion is greoter...
2. Use the following technology display from a Two-Way ANOVA to answer the next 8 questions...
2. Use the following technology display from a Two-Way ANOVA to answer the next 8 questions Wildlife biologists studying beaver habitats measured the number of beaver colonies per mile identified at two randomly selected wetland habitats, under three densities of tree growth (sparse, average, or dense growth). Use a 0.05 significance level. Source df SS MS F Site 1 4 .0238 0.0872 Density 2 33.0238 0.0000 Site Density 2 0.0476 0.9819 Error 1.30158 Total 23 93.5474 a. Fill up the...
The following table summarizes the results of a study on SAT prep courses, comparing SAT scores...
The following table summarizes the results of a study on SAT prep courses, comparing SAT scores of students in a private preparation class, a high school preparation class, and no preparation class. Use the information from the table to answer the remaining questions Number of Sum of Treatment Private prep class High school prep class No prep class Observations Sample Mean Squares (SS) 690 680 640 60 60 60 265,500.00 276,120.00 302,670.00 Using the data provided, complete the partial ANOVA...
1. Fill out the following ANOVA table for the two-way ANOVA model. This table comes from a data set with 4 levels for fa...
1. Fill out the following ANOVA table for the two-way ANOVA model. This table comes from a data set with 4 levels for factor A, 3 levels for factor B, and 14 values in each group. (Round your answer for F to two decimal places, your answers for SS and MS to one decimal place, and the p-value to three decimal places. Do not round any numbers until the final input into the answer box.) Analysis of Variance Source DF...
(2 points) Use the Minitab display to test the claims. Use the a= 0.05 significance level. The sample data are SAT scores on the verbal and math portions of SAT-I Analysis of Variance for SAT Source DF SS MS F р Gender 1 52712 52712 5.07 0.031 Ver/Math 5983 5983 0.58 0.453 Interaction 31428 31128 3.02 0.091 Error 34 376420 10399 Total 37 466543 1 Test the claim that SAT scores are not affected by an interaction between gender and...
(2 points) Use the Minitab display to test the claims. Use the a = 0.05 significance level. The sample data are SAT scores on the verbal and math portions of SAT- Analysis of Variance for SAT Source DF SS MS F P Gender 1 52700 52700 4.99 0.032 Ver/Math 5988 5988 0.57 0.456 Interaction 31348 31348 2.97 0.093 Error 35 376592 10556 Total 38 466628 Test the claim that SAT scores are not affected by an interaction between gender and...
Do SAT scores for high school students differ depending on the students' intended field of study? A study compared 15 students who intended to major in engineering with 15 students who intended to major in language and literature. Given in the accompanying table are the means and standard deviations of the scores on the verbal and mathematics portion of the SAT for the two groups of students: Engineering Language/literature Verbal у-446, 8-42 Math У-548, s-57 У-517, s:: 52 у-: 534,8...
Exercise 2:
Return to the SAT data in Exercise 2. Perform a two-sample t-test to determine whether there is sufficient evidence to claim a difference in the mean verbal SAT scores for high school students who intend to major in engineering and language/literature. Again, report the: p-value You should find the p-value using R. How does this result compare to the result in Exercise 2? Note that it is a mathematical/statistical fact that: If X ~ tor then Y =...
CH13 Q5
The following observations were obtained when conducting a two-way ANOVA experiment with no interaction. Factor A X for Factor B 2.500 8.000 13.750 Factor B 15 9.667 13 8.000 16 8.333 Xi for Factor A 6.000 X 8.083 a. Calculate SST, SSA, SSB, and SSE. (Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.) SST SSA SSB SSE b. Calculate MSA, MSB, and MSE. (Round intermediate calculations to at least 4...
9 A researcher conducts a two-way ANOVA t with interaction and provides the following ANOVA table a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and " places.) to 3 decimal 12233 b. At the 5% significance level, can you conclude that there is an interaction effect? es since the p-nlue for interection is grester ha he signiscance No-since he puue for inneracion is greoter...
2. Use the following technology display from a Two-Way ANOVA to answer the next 8 questions Wildlife biologists studying beaver habitats measured the number of beaver colonies per mile identified at two randomly selected wetland habitats, under three densities of tree growth (sparse, average, or dense growth). Use a 0.05 significance level. Source df SS MS F Site 1 4 .0238 0.0872 Density 2 33.0238 0.0000 Site Density 2 0.0476 0.9819 Error 1.30158 Total 23 93.5474 a. Fill up the...
The following table summarizes the results of a study on SAT prep courses, comparing SAT scores of students in a private preparation class, a high school preparation class, and no preparation class. Use the information from the table to answer the remaining questions Number of Sum of Treatment Private prep class High school prep class No prep class Observations Sample Mean Squares (SS) 690 680 640 60 60 60 265,500.00 276,120.00 302,670.00 Using the data provided, complete the partial ANOVA...
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