The median test for independent samples. Please answer all questions for credit!

Question

The median test for independent samples. Please answer all questions for credit!***

Aa Aa E 9. The median test for independent samples A teacher wants to see which activity best improves second grade students' arithmetic scores. She randomly selects 30 second grade students and randomly splits them into three groups, each of which will perform a different activity for 15 minutes. One group plays math games that involve arithmetic. Another group uses flash cards to memorize math facts. The last group reads a book about dinosaurs. At the end of the 15-minute activity, she has each student take an arithmetic test with 20 addition and subtraction problems. The table below contains the scores for the 30 students. Math Games Flash Cards Silent Reading 12 20 18 16 17 11 15 10 10 18 18 13 16 19 9 15 14 16 17 13 18 14 19 12 11 19 12 17 19 The teacher wants to find out if there is a significant relationship between which 15-minute activity the children do and their scores on the subsequent arithmetic test. She uses a median test to evaluate whether these three groups share a common median score. median for the 30 students is 15.5. Using the information in the table above, f out the table below with The overall the observed frequencies of the number of students above and below the median in each of the three groups Math Games Flash Cards Silent Reading Above Median Below Median

Explanation / Answer

chi square test stat =3.2000

the teacher decides to accept the null hypothesis...

these data do not provide sufficient evidence that................

Observed O math flash silent Total above 5 7 3 15 below 5 3 7 15 Total 10 10 10 30 Expected E=rowtotal*column total/grand total math flash silent Total above 5.000 5.000 5.000 15 below 5.000 5.000 5.000 15 Total 10 10 10 30 chi square =(O-E)^2/E math flash silent Total above 0.000 0.8000 0.8000 1.600 below 0.000 0.800 0.800 1.600 Total 0.000 1.600 1.600 3.200

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