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You may need to use the appropriate technology to answer this question. Information regarding the ACT scores of samples of students in three different majors is given below. Sample Size Average Management Within Treatments 12 Sample Variance (a) Compute the overall sample mean. 29.5 x Total 26 17 Major Finance 9 23 6 Accounting 11 25. (b) Set up the ANOVA table for this problem including the test statistic. (Round your mean squares to four decimal places and your F statistic to two decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square Between Treatments 11 (c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.) F

You may need to use the appropriate technology to answer this question. Information regarding the ACT scores of samples of students in three different majors is given below. Sample Size Average Management Within Treatments 12 Sample Variance (a) Compute the overall sample mean. 29.5 x Total 26 17 Major Finance 9 23 6 Accounting 11 25. (b) Set up the ANOVA table for this problem including the test statistic. (Round your mean squares to four decimal places and your F statistic to two decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square Between Treatments 11 (c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.) F

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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esc You may need to use the appropriate technology to answer this question. Information regarding the ACT scores of samples of students in three different majors is given below. 1 f1 81°F Partly sunny Sample Size Average ? Sample Variance f2 (a) Compute the overall sample mean . 29.5 X 2 Between Treatments Within Treatments Total Management f3 # 12 * 26 (b) Set up the ANOVA table for this problem including the test statistic. (Round your mean squares to four decimal places and your F statistic to two decimal places.) Source of Variation Sum of Squares Degrees of Freedom 3 17 $ Major Finance 000 (c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.) 4 (d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations. We should not reject H and therefore can conclude that there is a significant difference among the means of the three populations. We should not reject Ho and therefore cannot conclude that there is a significant difference among the means of the three populations. We should reject H and therefore cannot conclude that there is a significant difference among the means of the three populations. We should reject H. and therefore can conclude that there is a significant difference among the means of the three populations. f5 9 23 40 % 6 Accounting 5 11 f6 25. 11 4- 6 f7 ♫+ Mean Square & 7 f8 IAA * fg 8 DII F no f10 DDI ( 9 P f12. insert prt sc W Ə K delete backspace home num lock end 1 5:15 PM 10/16/2022 pg up pg dn
Transcribed Image Text:esc You may need to use the appropriate technology to answer this question. Information regarding the ACT scores of samples of students in three different majors is given below. 1 f1 81°F Partly sunny Sample Size Average ? Sample Variance f2 (a) Compute the overall sample mean . 29.5 X 2 Between Treatments Within Treatments Total Management f3 # 12 * 26 (b) Set up the ANOVA table for this problem including the test statistic. (Round your mean squares to four decimal places and your F statistic to two decimal places.) Source of Variation Sum of Squares Degrees of Freedom 3 17 $ Major Finance 000 (c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.) 4 (d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations. We should not reject H and therefore can conclude that there is a significant difference among the means of the three populations. We should not reject Ho and therefore cannot conclude that there is a significant difference among the means of the three populations. We should reject H and therefore cannot conclude that there is a significant difference among the means of the three populations. We should reject H. and therefore can conclude that there is a significant difference among the means of the three populations. f5 9 23 40 % 6 Accounting 5 11 f6 25. 11 4- 6 f7 ♫+ Mean Square & 7 f8 IAA * fg 8 DII F no f10 DDI ( 9 P f12. insert prt sc W Ə K delete backspace home num lock end 1 5:15 PM 10/16/2022 pg up pg dn
1 (a) Compute the overall sample mean . 29.5 X f1 (b) Set up the ANOVA table for this problem including the test statistic. (Round your mean squares to four decimal places and your F statistic to two decimal places.) 81°F Partly sunny ? ance Source of Variation Sum of Squares @ Between Treatments f2 Within Treatments 2 Total Need Help? Read It (c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.) (d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations. We should not reject Ho and therefore can conclude that there is a significant difference among the means of the three populations. We should not reject Ho and therefore cannot conclude that there is a significant difference among the means of the three populations. We should reject Ho and therefore cannot conclude that there is a significant difference among the means of the three populations. We should reject Ho and therefore can conclude that there is a significant difference among the means of the three populations. (e) Determine the p-value and use it for the test. (Round your answer to three decimal places.) The p-value= Since this is greater than difference among the mean ACT scores of the three majors. f3 # * 3 ***** 11 $ 6 4 f5 10 % 11 Degrees of Freedom 5 000 f6 4- 6 Mean Square the significance level we should not ✓ ✓ reject Ho and conclude that there is not f7 J+ & 7 f8 IAA * fg 8 DII 00 f10 9 DDI insert prt sc W sufficient evidence in the data to suggest a significant delete backspace home num lock end 5:15 PM 10/16/2022 pg up pg dn 4
Transcribed Image Text:1 (a) Compute the overall sample mean . 29.5 X f1 (b) Set up the ANOVA table for this problem including the test statistic. (Round your mean squares to four decimal places and your F statistic to two decimal places.) 81°F Partly sunny ? ance Source of Variation Sum of Squares @ Between Treatments f2 Within Treatments 2 Total Need Help? Read It (c) Using a = 0.01, determine the critical value of F. (Round your answer to two decimal places.) (d) Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations. We should not reject Ho and therefore can conclude that there is a significant difference among the means of the three populations. We should not reject Ho and therefore cannot conclude that there is a significant difference among the means of the three populations. We should reject Ho and therefore cannot conclude that there is a significant difference among the means of the three populations. We should reject Ho and therefore can conclude that there is a significant difference among the means of the three populations. (e) Determine the p-value and use it for the test. (Round your answer to three decimal places.) The p-value= Since this is greater than difference among the mean ACT scores of the three majors. f3 # * 3 ***** 11 $ 6 4 f5 10 % 11 Degrees of Freedom 5 000 f6 4- 6 Mean Square the significance level we should not ✓ ✓ reject Ho and conclude that there is not f7 J+ & 7 f8 IAA * fg 8 DII 00 f10 9 DDI insert prt sc W sufficient evidence in the data to suggest a significant delete backspace home num lock end 5:15 PM 10/16/2022 pg up pg dn 4
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