Homework #10: One Way ANOVA Graded Assignment | Back to Assignment Due Sunday 02
ID: 3050201 • Letter: H
Question
Homework #10: One Way ANOVA Graded Assignment | Back to Assignment Due Sunday 02.25.18 at 11:45 PM Attempts: 2 Keep the Highest: 2/14 3. One-way analysis of variance, problem 3 Aa Aa An instructor is interested in learning about the impact of the class textbook on his students' performances. He teaches four sections and assigns a different textbook for each section. At the end of the semester he records all the students' grades and tests whether the scores differ between sections. what should he conclude from the following summary data? Textbook Section Size 40 40 4040 Mean Variance 202.52 282.31 250.33 212.98 72.43 76.82 77.75 68.32 Which of the following are factor levels in this example? Check all that apply. Textbook 3 section Textbook 1 Grade Textbook 2 What are the null and the alternative hypotheses for this test? Ho: 1-2 = 3 = 4 and Hi: all four 's differ.Explanation / Answer
1. Textbook 1, Textbook 2 and Textbook 3
H0: 1= 2= 3 and H1: 1<> 2<> 3
H0: 1= 2= 3and H1: at least two 'sdiffer
H0: 1= 2= 3and H1: 1<> 2
H0: 1= 2= 3and H1: 1<> 2= 3
H0: 1= 2= 3and H1: 1<> 3
H0: 1= 2= 3and H1: 2<> 3
H0: 1= 2= 3and H1: all three 's differ
value of the GRAND MEAN= 74.95340417
value of the Sum of Squares for Treatments (SST)= 598.9564128
The value of the Sum of Squares for Error (SSE) = 35139.868287.
The appropriate degrees of freedom= 2 and 1218.
The value of the test statistic F= 1.031217951
The p-value of this test=0.359684492
Fail to reject the null hypothesis and conclude that there is not enough evidence to claim that there is a difference between the effects of different textbooks on student's perfomance.
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