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at 11:45 PM Attempts: 2 11 Keep the Highest: 11/14 3. One-way analysis of varian

ID: 3050234 • Letter: A

Question

at 11:45 PM Attempts: 2 11 Keep the Highest: 11/14 3. One-way analysis of variance, problem 3 An instructor is interested in learning about the impact of the class textbook on her students' performances. She teaches four sections and assigns a different textbook for each section. At the end of the semester she records all the students grades and tests whether the scores differ between sections. what should she condlude from the follow summary data? Textbook 2 Section Size 38 42 51 32 Mean Variance 265.72 277.12 313.52 255.24 71.96 72.12 78.61 70.76 which of the following are factor levels in this example? Check all that apply. Textbook 1 Grade Textbook 3 Textbook 2 section What are the null and the alternative hypotheses for this test? Q Ho : 1-2-H3-Ha and H1: all four 's differ. Ho : 1-P2 = 3 4 and H1: at least two 's differ.

Explanation / Answer

from above information:

factor levels are : textbook 1;2; 3

null and alternate hypothesis: last option is correct

grandmean =73.846

SST =1752.52

SSE =44782

degree of freedom 2 and 160

test statsitic F =2.039

p value =0.1106

fqil to reject; and conclude that there is not sufficient ........

i ni xi S2i ni*(Xi-Xgrand)2 (ni-1)*S2i 1 38 71.96 265.720 135.212 9831.640 2 42 72.12 277.120 125.167 11361.920 3 51 78.61 313.520 1157.325 15676.000 4 32 70.76 255.240 304.812 7912.440 Grand mean=Xgrand=xi*ni/ni= 73.846 1722.516 44782.000 SSG SSE Source of variation SS df MS F P value treatment 1722.516 3 574.172 2.039 0.1106 error 44782.000 159 281.648 total 46504.516 162