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The test is done with a 95% confidence level. Find the test statistic, and p-value. (Round your test statistic and p-value to three decimal places). test statistic p-value

The test is done with a 95% confidence level. Find the test statistic, and p-value. (Round your test statistic and p-value to three decimal places). test statistic p-value

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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Please only answer PART B

 

Three calculus classes take the same test and the scores are recorded. O JMP Applet imp ? Oneway Analysis of Score By Class 100 90 80- 70 0- 50 40 30 20 Class Oneway Anova Summary of Fit Rsquare 0.000280 Adj Rsquare Root Mean Square Error Mean of Response -0.04732 12.60027 77.08889 Observations (or Sum Wgts) 45 Analysis of Variance Source DF Sum of Squares Mean Square FRatio Prob > F Class 2 1.9111 0.956 0.0060 0.9940 Error 42 6677.7333 158.994 C. Total 44 6679.6444 Means for Oneway Anova Level Number Mean Std Error Lower 95% Upper 95% A 15 76.8000 3.2557 70.230 83.370 15 77.2000 3.2557 70.630 83.770 15 77.2667 3.2557 70.606 83.837 Std Error uses a pooled estimate of error variance II :: Score
Transcribed Image Text:Three calculus classes take the same test and the scores are recorded. O JMP Applet imp ? Oneway Analysis of Score By Class 100 90 80- 70 0- 50 40 30 20 Class Oneway Anova Summary of Fit Rsquare 0.000280 Adj Rsquare Root Mean Square Error Mean of Response -0.04732 12.60027 77.08889 Observations (or Sum Wgts) 45 Analysis of Variance Source DF Sum of Squares Mean Square FRatio Prob > F Class 2 1.9111 0.956 0.0060 0.9940 Error 42 6677.7333 158.994 C. Total 44 6679.6444 Means for Oneway Anova Level Number Mean Std Error Lower 95% Upper 95% A 15 76.8000 3.2557 70.230 83.370 15 77.2000 3.2557 70.630 83.770 15 77.2667 3.2557 70.606 83.837 Std Error uses a pooled estimate of error variance II :: Score
O (a) The math department is interested in seeing if the three different teachers have an effect on the students' scores so they want to test if the mean scores in all three classes are the same or not. What is the hypothesis test to be done? O Ho: means are not all equal H: 41 = 2 = H3 O Ho: 41 > H2 > Mz H: H = H2 = H3 O Ho: H1 = H2 = Mz O Ho: Hq> Hz O Hoi H1 = 42 = M3 H1 means are not all equal B (b) The test is done with a 95% confidence level. Find the test statistic, and p-value. (Round your test statistic and p-value to three decimal places). test statistic p-value O (c) The department has decided to give a raise to a teacher if his/her class scored significantly higher. Using the hypothesis test, find the correct conclusion. The null hypothesis should --Select-- v. The means from the three classes -Select--- v statistically different. The department ---Select-- v award a raise to a teacher. You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:O (a) The math department is interested in seeing if the three different teachers have an effect on the students' scores so they want to test if the mean scores in all three classes are the same or not. What is the hypothesis test to be done? O Ho: means are not all equal H: 41 = 2 = H3 O Ho: 41 > H2 > Mz H: H = H2 = H3 O Ho: H1 = H2 = Mz O Ho: Hq> Hz O Hoi H1 = 42 = M3 H1 means are not all equal B (b) The test is done with a 95% confidence level. Find the test statistic, and p-value. (Round your test statistic and p-value to three decimal places). test statistic p-value O (c) The department has decided to give a raise to a teacher if his/her class scored significantly higher. Using the hypothesis test, find the correct conclusion. The null hypothesis should --Select-- v. The means from the three classes -Select--- v statistically different. The department ---Select-- v award a raise to a teacher. You may need to use the appropriate table in the Appendix of Tables to answer this question.
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